Therefore, we have proven that cos (0) - sin (0) = √2 sin (0), given that sin (0) + cos (0) = √2 cos (0).
What is trigonometry?Trigonometry is a branch of mathematics that deals with the study of the relationships between the angles and sides of triangles. It explores the properties and functions of angles, as well as the relationships between them in various geometrical shapes.
Given by the question.
We have:
sin (0) + cos (0) = √2 cos (0)
Simplifying the left-hand side:
sin (0) + cos (0) = 1
Substituting back into the original equation:
1 = √2 cos (0)
Dividing both sides by √2:
1/√2 = cos (0)
Now we need to prove that:
cos (0) - sin (0) = √2 sin (0)
Substituting our value for cos (0):
1/√2 - sin (0) = √2 sin (0)
Multiplying both sides by √2:
√2/2 - √2 sin (0) = 2 sin (0)
Adding √2 sin (0) to both sides:
√2/2 = 3 sin (0)
Dividing both sides by 3:
sin (0) = √2/6
Substituting back into the equation we were trying to prove:
cos (0) - sin (0) = cos (0) - √2/6
We can now use our earlier equation to substitute for cos (0):
cos (0) - √2/6 = √2/2 - √2/6
Simplifying:
cos (0) - sin (0) = √2 sin (0)
To learn more about equation:
https://brainly.com/question/29657992
#SPJ9
Julie printed out a picture of each of the six members of her favorite band to decorate her bedroom door. Each picture measures 5 inches by 7 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
On Julie's door, the images will span 210 square inches.
As Julie printed six images, the total space that the images cover is:
6 x 35 square inches = 210 square inches
What is an inch?Inches are measured as 1/36 of a yard in both British Imperial and American Customary measurement systems. According to some sources, the term "inch" comes from the Old English "ince" or "ynce," which in turn is said to have originated from the Roman "uncia" unit.
The name of another English unit, the ounce, is derived from the Roman word uncia. According to legend, King David I of Scotland defined the old English word "ynce" as the width of a man's thumb at the base of the nail in the year or thereabouts 1150 AD.
From the question:
Six images total, each measuring 5 by 7 inches, were printed by Julie. We must first calculate the area of each image in order to add up the overall area that these photographs cover.
One image's area is as follows:
5 inches x 7 inches = 35 square inches
As Julie printed six images, the total space that the images cover is:
6 x 35 square inches = 210 square inches
Consequently, 210 square inches of Julie's door will be covered by the images.
To know more about inch visit:
https://brainly.com/question/16311877
#SPJ1
if 24 x 18 and (x-1)are in proportion find the value of x
Answer:
Step-by-step explanation:
If 24, x and 18 are in proportion, then we have:
24 : x = x : 18
This can be rewritten as:
x^2 = 24 x 18
x^2 = 432
Taking the square root of both sides, we get:
x = ± 20.7846
However, we also know that (x - 1) is in proportion with 24 and 18. Therefore:
24 : (x - 1) = (x - 1) : 18
This can be rewritten as:
(x - 1)^2 = 24 x 18
(x - 1)^2 = 432
Taking the square root of both sides, we get:
x - 1 = ± 20.7846
Solving for x in each case, we get:
x = 21.7846 or x = -19.7846
However, we can see that the value x = -19.7846 does not make sense in the context of the problem (since we cannot have a negative value for the number of something). Therefore, we can reject it as an extraneous solution.
Hence, the value of x is:
x = 21.7846
Answer: 21.7846
The 12 students in the Environmental Club represent 2% of the students in the seventh grade. How many students are in the seventh grade?
Hence, in response to the provided question, we can say that Therefore equation there are 600 pupils in the seventh grade.
What is equation?An algebraic equation is a method of connecting two quotes by using the equals symbol (=) to express equality. In algebra, an explanation is a definitive expression that verifies the equivalency of two formula. For example, the identical character divides the numbers 3x + 5 and 14. A linear equation might be used to recognize the connection that existing between the texts written on separate sides of a letter. The product and application both frequently the same. 2x - 4 equals 2, for example.
Let's call the total number of pupils in the seventh grade "x".
We know that the 12 students in the Environmental Club account for 2% of the seventh-grade students, which means:
12 = 0.02x
To find x, we must isolate it on one side of the equation. This can be accomplished by dividing both sides by 0.02:
12 ÷ 0.02 = x
This boils down to:
600 = x
Therefore there are 600 pupils in the seventh grade.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Choose the best answer. ________Functions have a constant rate of change and when graphed form a straight line. _______functions do not have a constant rate of change, can be graphed with one or more curves or a "v-shape"
Best answer for the statement are Linear, Nonlinear.
Define Linear functionsA linear function is a type of mathematical function that has the following form:
f(x) = mx + b
where "m" and "b" are constants. "m" represents the slope of the line, or the rate at which the function changes .
Linear functions have a constant rate of change and when graphed form a straight line. Nonlinear functions do not have a constant rate of change, can be graphed with one or more curves or a "v-shape".
Therefore, the best answer to complete the sentence is:
Linear functions have a constant rate of change and when graphed form a straight line. Nonlinear functions do not have a constant rate of change, can be graphed with one or more curves or a "v-shape".
to know more about slope, visit:
https://brainly.com/question/3605446
#SPJ1
What is the value of the expression 9x^2−12x+4 when x=3?
Answer: 9·9 -36 +4.
Step-by-step explanation: 9x² -12x +4 for x=3. 9·3² -12·3 +4 = 9·9 -36 +4.
Identify the parts of the expression and write a word expression for the numerical or algebraic expression:
b + 12r
Answer:
Parts of the expression:
b: a variable representing a quantity that can vary or change.
12: a constant representing a fixed value.
r: a variable representing a quantity that can vary or change.
Word expression:
"Add twelve times the quantity of r to b."
Step-by-step explanation:
The attendance at a concert was 335. Admission was $2.50 for adults and $1.25 for children. The receipts were $675. How many adults and children attended the concert? (Show steps)
In response to the question, we may say that 205 adults and 130 kids equation respectively attended the concert, for a total of 205 adults and 130 kids.
What is equation?The equals symbol (=), which indicates equivalence, connects two statements in a mathematical equation. An algebraic equation's mathematical assertion proves the equality of two mathematical propositions. The equal sign, for instance, places a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. Use a mathematical formula to understand how the two sentences on opposite sides of a letter relate to one another. Usually, the logo corresponds to the particular programmed. An example would be 2x - 4 = 2.
Assume that "x" represents the proportion of adults who attended the performance and "y" represents the proportion of children.
The problem statement informs us that:
x + y = 335 —-(1) (1) (There are 335 persons present in all.)
The total amount of money gathered is $675 (2.5x + 1.25y).
1.25x + 1.25y = 418.75 —-(3) (3)
2.5x - 1.25x = 675 - 418.75
1.25x = 256.25
x = 205
205 + y = 335
y = 130
205 adults and 130 kids respectively attended the concert, for a total of 205 adults and 130 kids.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Find an equation of the ellipse that has center (-1,-5) , a minor axis of length 2, and a vertex at (5,-5).
According to the given conditions, the equation of the ellipse is [tex]{\frac{(x+1)^2}{25}+(y+5)^2=1}$.[/tex]
What is equations ?An equation is a mathematical statement that shows the equality between two expressions. In other words, it is a way to describe a relationship between two or more variables or quantities.
According to given information :The center of the ellipse is (-1,-5), which means that the center of the ellipse is shifted from the origin. We can find the equation of the ellipse using the standard form equation:
[tex]$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$[/tex]
where (h,k) is the center of the ellipse, and a and b are the lengths of the semi-major and semi-minor axes, respectively.
Since the minor axis has length 2, we know that b=1. We also know that the vertex on the minor axis is (5,-5), which means that the semi-major axis has length 5. Therefore, a=5.
Substituting these values into the standard form equation, we get:
Simplifying, we get:
[tex]$\frac{(x+1)^2}{25}+(y+5)^2=1$[/tex]
Therefore, according to the given conditions, the equation of the ellipse is [tex]{\frac{(x+1)^2}{25}+(y+5)^2=1}$.[/tex]
To know more about equations visit :
https://brainly.com/question/22688504
#SPJ1
imhotep the architect wants to paint the great pyramid of giza
Imhotep can pain the pyramid in 256 different ways, and his assistant can make 64 different models of the pyramid, as explained below.
How to pain the pyramid:There are 4 sides to paint, and each side can be painted with one of 4 colors. So the total number of different ways Imhotep can paint the Great Pyramid is:
4 x 4 x 4 x 4 = 256
Therefore, Imhotep can paint the Great Pyramid in 256 different ways. However, as pointed out, many of these ways are just rotations of each other. Specifically, there are 4 different rotations for each way of painting the pyramid. Therefore, the number of distinct models can be seen below:
256 / 4 = 64
Therefore, Imhotep's assistant only needs to make 64 different models.
The complete question is the following:
Imhotep the architect wants to paint the Great Pyramid. He wants one red side, one blue side, one green side and one yellow side. How many different ways can he paint it?His assistant is tasked with making models to show the possibilities. He realises he can make far fewer models as they can be turned around. How many different models does he need to make?Learn more about pyramids here:
https://brainly.com/question/18994842
#SPJ1
Use the graphs of f and g to find (fg)(−2).
In this the point (-2,3) on the graph of f multiplied by the corresponding point (-2,2) on the graph of g yields the product (-2,6), which is equal to -8.
What is a coordinate plane?A coordinate plane is a two-dimensional surface composed of two number lines, one horizontal (x-axis) and one vertical (y-axis). It is used to graph points, lines, and other shapes. Each point is identified by a pair of numbers which indicate its position along the x and y axes. The x and y axes intersect at the origin and divide the plane into four quadrants.
The graph of fg can be found by first graphing both f and g on the same coordinate plane. From there, the graph of fg can be found by taking each point on the graph of f and multiplying it by the corresponding point on the graph of g. In this example, the point (x,y) on the graph of f is multiplied by the corresponding point (x,y) on the graph of g to form a new point (x,yz). This new point is then placed on the graph of fg.
Using the graphs of f and g provided, we can determine that (fg)(-2) = -8. To find this, first locate the point (-2,3) on the graph of f. Then, locate the corresponding point (-2,2) on the graph of g. The product of these two points is (-2,6). This means that (fg)(-2) = -8.
In summary, to find (fg)(-2) using the graphs of f and g, first graph both f and g on the same coordinate plane. Then, take each point on the graph of f and multiply it by the corresponding point on the graph of g. In this example, the point (-2,3) on the graph of f multiplied by the corresponding point (-2,2) on the graph of g yields the product (-2,6), which is equal to -8.
To know more about coordinate plane, visit
brainly.com/question/13611766
#SPJ1
what is the procedure, I need it for TODAY before 12pm
It is also important to communicate effectively with any individuals involved in the procedure to ensure that everyone is on the same page and working towards the same goal.
The procedure can refer to a variety of things depending on the context. If you are referring to a medical procedure, it is important to first consult with a healthcare professional to determine the specific procedure that is needed.
If you are referring to a legal or administrative procedure, it is important to review the guidelines and protocols set forth by the governing body or organization.
In general, the procedure typically involves a set of steps or instructions that must be followed in order to achieve a specific outcome. These steps may include gathering information, completing forms, submitting documents, or performing specific tasks.
It is important to carefully follow each step of the procedure to ensure that the desired outcome is achieved.
If you need a procedure completed by 12pm today, it is important to prioritize your tasks and ensure that you have all necessary resources and information available. Depending on the specific procedure, you may need to work quickly and efficiently in order to meet the deadline.
To learn more about : procedure
https://brainly.com/question/25907410
#SPJ11
If a 2i j 8k and b i 3 j 4k
, then the magnitude of a b
Answer:
Step-by-step explanation:
To find the magnitude of the cross product of vectors a and b, we can use the formula:
|a x b| = |a| |b| sin(θ)
where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.
First, let's calculate the cross product of vectors a and b:
a x b = (2i + j + 8k) x (i + 3j + 4k)
= (j)(4k) - (8k)(3j) - (i)(4k) - (j)(2i) + (8k)(i) - (2i)(i + 3j)
= -10i - 20j - 20k
Next, let's find the magnitudes of vectors a and b:
|a| = √(2^2 + 1^2 + 8^2) = √(69)
|b| = √(1^2 + 3^2 + 4^2) = √(26)
Finally, we need to find the angle θ between vectors a and b. We can use the dot product to find cos(θ):
a · b = (2i)(i) + (1j)(3j) + (8k)(4k) = 2 + 3 + 32 = 37
|a| |b| cos(θ) = a · b
cos(θ) = a · b / (|a| |b|)
cos(θ) = 37 / (√(69) √(26))
cos(θ) ≈ 0.893
Using the fact that sin^2(θ) + cos^2(θ) = 1, we can solve for sin(θ):
sin(θ) = √(1 - cos^2(θ))
sin(θ) ≈ 0.449
Substituting the values we found into the formula for the magnitude of the cross product, we get:
|a x b| = |a| |b| sin(θ)
|a x b| = √(69) √(26) (0.449)
|a x b| ≈ 26.81
Therefore, the magnitude of the cross product of vectors a and b is approximately 26.81.
Use the variable c to represent Chau's height.
[tex]\left[\begin{array}{ccc}Answr:\\=&=&=\\1&6&.\end{array}\right][/tex]
Step-by-step explanation & Answer
In order to find chau’s height we would only need to subtract:
40 - 24 = ?
? = 16
But it determines what you are putting it in as well.
You can put it in, feet, meters, or inches.
So I do not know but looking at the question it seems like I do not need to know. ( Saying thing because you might actually have the measurements but I do not know / I cannot see. )
Thus the answer to your problem is, 16
PLEASE HELP
I bought a pie. It cost somewhere between £1.30 and £2.99. I gave a 24% tip, and the total price was still an exact number of a pence. When I paid with a £5 note I received five coins in my change (the fewest I could have been given for that amount). What were the two possible amounts of change I could have been given?
The two possible amounts of change are 3 x £1 + 1 x 50p + 1 x 10p and 3 x £1 + 1 x 20p + 1 x 10p + 1 x 5p, which simplify to £3.60 and £3.25 respectively.
What is combination ?
Combination refers to the number of ways a selection of items can be made from a larger set of items without regard to their arrangement. In other words, combinations are a way to calculate the total number of possible groups of items that can be formed, regardless of the order in which the items are selected. The formula for calculating the number of combinations is nCr, where n is the total number of items and r is the number of items being selected.
According to the question:
Let's start by finding the possible prices of the pie. Since the price must be an exact number of pence, we can convert the price range to pence by multiplying each value by 100:
£1.30 = 130 pence
£2.99 = 299 pence
We know that the price plus the 24% tip must be an exact number of pence. If we let x be the price of the pie in pence, then we can write this as:
x + 0.24x = 1.24x
Since 1.24 is not divisible by 5 (which we'll need for the change), we need to find two values of x that differ by a multiple of 5. One way to do this is to start with the lower bound and add multiples of 5 until we get a valid value:
x = 130: 1.24x = 161.2
x = 135: 1.24x = 167.4
x = 140: 1.24x = 173.6 (valid)
x = 145: 1.24x = 179.8
x = 150: 1.24x = 186.0 (valid)
x = 155: 1.24x = 192.2
x = 160: 1.24x = 198.4
So the possible prices of the pie are 140p and 150p. To find the possible amounts of change, we need to subtract each price from 500p (the value of the £5 note) and express the result as a combination of coins. For example:
Price = 140p, change = 360p = 3 x £1 + 1 x 50p + 1 x 10p
Price = 150p, change = 350p = 3 x £1 + 1 x 20p + 1 x 10p + 1 x 5p
Therefore, the two possible amounts of change are 3 x £1 + 1 x 50p + 1 x 10p and 3 x £1 + 1 x 20p + 1 x 10p + 1 x 5p, which simplify to £3.60 and £3.25 respectively.
To know more about combination visit:
https://brainly.com/question/19692242
#SPJ1
A photo is being resized to sell at a gallery. The original photos 4 inches by 6 inches. Using the dimensions of 2.5 in. by 3.75 in., find the
scale factor.
Answer:basically if 23x45 is 35 then u times that to 15 and theres ur asnwer
23x45=35
In 1940, the average size of a privately owned farm in a particular country was 170 acres. In a recent year, the average size of a privately owned farm in the country had increased to 432 acres. What is this percent increase?
Answer:
154%
Step-by-step explanation:
First, we need to calculate the increase in size of the privately owned farm:
increase = new value - old value
increase = 432 - 170
increase = 262
Next, we can use the formula to calculate the percent increase:
percent increase = (262 / 170) x 100%
percent increase = 1.54 x 100%
percent increase = 154%
Therefore, the percent increase in the size of privately owned farms in the country is 154%.
Point T has coordinates (-7, -3). If it's reflected across the line x = 2, what will be the coordinates of its image?
(7, -3)
(11, -3)
(7, 3)
(-7, 7)
The image after the reflection over the line x = 2 is (11, -3)
What will be the coordinates after the reflection?Here we have the point T which has coordinates (-7, -3), and we apply a refletion across the line x = 2.
This reflection will only chane the value of x in our point, such that the initial value x = -7
Is at the same distance of the line x = 2 than the final x-value
The distance between these values is:
d = |-7 - 2| = 9
Then the new x-value will be:
x = 2 + 9 = 11
Thus, the image after the reflection is (11, -3)
Learn more about reflections at:
https://brainly.com/question/4289712
#SPJ1
can someone help?
Write an equation for the transformed logarithm shown below, that passes through (0,0) and (-5,3)
The equation for the logarithmic function that passes through (0,0) and (-5,3) is given as follows:
y = log2(-x + 1)
How to define the logarithmic function?First we must consider the vertical asymptote of the logarithmic equation, which is given as follows:
x = 1.
As the function is defined for the values to the left of the vertical asymptote, the function was reflected over the y-axis, hence:
y = logb(-x + 1) + d.
When x = -1, y = 1, hence we can have a logarithm of base 2 with a vertical shift of zero, hence:
y = log2(-x + 1)
Which is the logarithmic function for the function graphed in this problem.;
More can be learned about logarithmic functions at https://brainly.com/question/24160402
#SPJ1
13 The diagram shows a wall. 2.8 m The area of the wall is 39.2 m² Work out the length of the wall. N length 2.1 m Not drawn accurately [3 marks]
After answering the presented question, we can conclude that As a rectangle result, the wall's length is approximately 18.67 metres.
What is rectangle?In Euclidean geometry, a rectangle is a parallelogram with four small angles. It can also be described as a fundamental rule hexagon or one in which all of the angles are equal. Another option for the parallelogram is a straight angle. Four of the vertices in a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.
To begin, we can use the formula for the area of a rectangle, which is:
length x width Equals area
We know the wall's area is 39.2 m2, and we want to know how long it is. We are also given the wall's breadth, which is 2.1 m.
As a result, we can rearrange the formula to find the length:
width = Area length
length = 39.2 2.1 cm
a length of 18.67
As a result, the wall's length is approximately 18.67 metres.
To know more about rectangle visit:
https://brainly.com/question/29123947
#SPJ9
K
Use the information shown on the auger shell. What is the value of x?
8.8 mm
11 mm
20 mm
Using the information shown on the auger shell. The value of x is found as 16.
Explain about the proportion of the numbers?Fractions and ratios can both be stated as reciprocals of one another. Similar rules apply to proportions, which are just the equivalence of two ratios.
Fractions and ratios both convey the relationship between two different quantities.A percentage is an algebraic assessment of two numbers.According to proportion, two sets of provided numbers are referred to as directly proportional to one another if they increase or decrease in the same ratio. A proportion is actually an equation that equalizes two ratios. One boy and 3 girls, for example, might just be defined by a ratio of 1: 3.For the given values in question:
8.8 mm
11 mm
20 mm
Value of x.
Using proportion of the numbers:
8.8 / 11 = x / 20
x = 8.8*20 / 11
x = 16
Thus, using the information shown on the auger shell. The value of x is found as 16.
know more about the proportion of the numbers
https://brainly.com/question/870035
#SPJ1
Use the diagram below to answer the questions.
What are two other names for line WQ?
QW
What is another name for plane V?
What are three points that are collinear? What is a fourth point that is not collinear with those three points?
What is a point that is not coplanar with R, S, and T?
Answer:
Step-by-step explanation:
b-y=55
If two cards are chosen from a standard deck of cards one at a time and placed in your hands as you choose them, the probability of choosing a 7 and a jack is what?
As a result, the probability of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is about 0.006 or 0.6%.
What is probability?Probabilistic theory is a branch of mathematics that evaluates the probability of a certain occurrence or proposition occurring or being true. A danger is a number in the range between 0 and 1, whereas 1 signifies certainty and a probability of around 0 reflects how likely an event seems to be to occur. Probability seems to be a mathematical function for the likelihood or likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1 or as percentages ranging from 0% to 100%. In relation to all other outcomes, the ratio of occurrences between equally as likely possibilities that result in a specific event.
The probability of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is as follows:
As a result, the odds of selecting a jack from the remaining cards are 4/51.
The product of these probabilities is the likelihood of selecting a 7 and a jack in sequence:
P(7) = P(7) x P(jack|7 not picked) = 4/52 x 4/51
When we simplify this expression, we get:
P(Jack and 7) = 16/2652
As a result, the likelihood of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is about 0.006 or 0.6%.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
PLEASE HELP FAST!
A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has a a number less than 4
Event B: The marble selected has an even number
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
Answer:
Look explain
Step-by-step explanation:
Give the following outcomes for each of the events with a set of 1,2,3,4,5,6,7,8:
Event A: The number can be 1,2,3 because it has to be less than 4
Event B: The number can be 2,4,6,8 because those are the only even numbers
Both Event A&B: The marble must be even and between 1,2,3 so only 2 is correct and must be marble #2
I hope this helps :)
Help with math problems
Answer:
70
Step-by-step explanation:
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST
Answer: It looks like it could be III I'm not sure thought I hope it was right
Step-by-step explanation:
3) What is the translation rule that describes the result of the composition of
(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)?
a. (x, y) --> (x-1, y-6)
b. (x, y) --> (x+1, y-3)
c. (x, y) --> (x+9, y+6)
d. (x, y) --> (x+1, y+6)
The (x, y) is translated tο (x-1, y-6).
What is dilatiοn?Resizing an οbject is accοmplished thrοugh a change called dilatiοn. The οbjects can be enlarged οr shrunk via dilatiοn. A shape identical tο the sοurce image is created by this transfοrmatiοn. The size οf the fοrm dοes, hοwever, differ. A dilatatiοn οught tο either extend οr cοntract the οriginal fοrm. The scale factοr is a phrase used tο describe this transitiοn.
The scale factοr is defined as the difference in size between the new and οld images. An established lοcatiοn in the plane is the center οf dilatatiοn. The dilatiοn transfοrmatiοn is determined by the scale factοr and the centre οf dilatiοn.
the cοmpοsitiοn οf
(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)
(x, y) --> (x-5, y-5)
(x+4-5, y-1-5) = (x-1, y-6)
Therefοre, the cοmpοsitiοn οf (x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5) is (x, y) --> (x-1, y-6).
In οther wοrds, the translatiοn rule fοr the cοmpοsitiοn is:
Hence, The (x, y) is translated tο (x-1, y-6).
Learn more about dilation, by the following link
https://brainly.com/question/29811168
#SPJ1
Answer:
(x, y) --> (x-1, y-6)
Step-by-step explanation:
i neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddd help
Answer:
divide the numbers and you'll get 1×10^5
Write a word phrase that represents the expression
Answer:
Where is the expression bro
Describe the set of values that is greater than the quadratic function with zeros –5 and –13 and include the
point (–9, –32).
y>2(x+5)(x+13)
y>2(x−5)(x−13)
y≥- 8\77 (x+5)(x+13)
y≥- 8\77(x−5)(x−13)
The set of values that is greater than the quadratic function with zeros -5 and -13 and includes the point (-9, -32) is: y > 2(x+5)(x+13)
Define the term quadratic function?A quadratic function is a type of function in mathematics that can be represented by a quadratic equation, which is a polynomial equation of the second degree. It is an equation, for example, y = ax2 + bx + c, where a, b, and c are constants and x is the variable, that involves a variable raised to the power of two.
The factored form of the quadratic function with zeros -5 and -13 is as follows:
f(x) = a(x + 5)(x + 13)
where a is a constant.
Substituting the given point (-9, -32) into the quadratic function, we get:
-32 = a(-9 + 5)(-9 + 13)
-32 = -16a
a = 2
So, the quadratic function in factored form is:
f(x) = 2(x + 5)(x + 13)
we need to find the range of values that satisfy this inequality:
y > a(x + 5)(x + 13)
Therefore, the set of values that is greater than the quadratic function with zeros -5 and -13 and includes the point (-9, -32) is: y > 2(x+5)(x+13)
To know more about function, visit:
https://brainly.com/question/11624077
#SPJ1
A dolphin is 30 feet below the surface of the water. She rises 23 feet and then rises another 7 feet. If there are no changes, where is the dolphin now?
Answer:
1. Start with the dolphin’s initial position, which is -30 feet below the surface of the water. We can use a negative sign to indicate that the dolphin is below the surface.
2. Add 23 feet to the dolphin’s position to represent her first rise. This gives us -30 + 23 = -7 feet. The dolphin is now 7 feet below the surface of the water.
3. Add another 7 feet to the dolphin’s position to represent her second rise. This gives us -7 + 7 = 0 feet. The dolphin is now at the surface of the water.
Therefore, the answer is that the dolphin is now at the surface of the water.