Answer:
y=-5/4x-4.
Step-by-step explanation:
parallel lines have to have the same slope so they don't intersect each other
original equation with the same slope and rewrite it using point slope form:
y-y1=-5/4(x-x1) now Substitute the point(-4,1)
y-1=-5/4(x-(-4))
y-1=-5/4(x+4)
Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:
y-1=-5/4x-5
y=-5/4x-4.
The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.
Answer: y=-5/4x-4.
Step-by-step explanation:
Fahad is 140 cm tall. Fareed is 1090 mm tall.
Who is taller? How much taller?
Answer:
Fahad is taller with 31 centimeters
Step-by-step explanation:
1090mm=109cm
Fahad is taller than Fareed by 31 centimeters.
1090 mm = 109 cm
140 cm - 109 cm = 31 cm
Hope this helps; please mark brainliest!
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HELP PLEASEEEE I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
we need to make two rectangles.
one that is 13.1 Km X (9.3-4.2) Km
13.1 * 5.1 = 66.81
the next box is 4.2 X (13.1-8.1)
4.2*5 = 21
area total = 21 + 66.81 = 87.81[tex]Km^{2}[/tex]
Help PLEASE ILL MARK BRAINLIEST!!!
Mario ran backwards 5 spaces then jumped up 3 spaces. How can we show this as an ordered pair?
The following two-way table shows the number of students of a school who have a cell phone and/or have a part-time job: Have Cell Phone Do Not Have Cell Phone Total Have Part time Job 40 10 50 Do Not Have Part time Job 10 40 50 Total 50 50 100 Based on the table, how many students have both a cell phone and a part-time job? (5 points) Question 14 options: 1) 10 2) 40 3) 50 4) 100
Answer:
I think it is B, so the correct answer is 40
Step-by-step explanation:
Answer:
The other guy is correct, the correct answer is B. 40.
Step-by-step explanation:
Under Students that have a cell phone and under students that have a part-time job the total amount of people is 40
Tell whether the statement is always, sometimes, or never true. Explain.
1. If x and y are supplementary angles, then y is acute.
2. If x and y are complementary angles, then x is obtuse.
Answer:
1. If x and y are supplementary angles, then y is sometimes acute because supplementary angles are angles that add up to 180 degrees. So, y can be acute while x can be obtuse, y can be obtuse while x can be acute, or both can be right angles.
2. If x and y are complementary angles, then x is never obtuse. Complementary angles are angles that add up to 90 degrees, and obtuse angles are angles over 90 degrees, so it's impossible to have an obtuse angle as a complementary angle.
Step-by-step explanation:
Answer:
1) Sometimes
2) Never
Step-by-step explanation:
1) you could have two angles add up to 180 degrees and one of them could be less than 90
example, x = 140° and y = 40°
2) if two angles are complementary then their sum is 90° so neither angle must be less than 90°, thereby making them both acute angles
The length of rectangle PQRS is expressed as 2x+7. The width of rectangle PQRS is expressed as 3x−4. Which expression describes the area of rectangle PQRS?
A.6x^2
B.6x^2-29x-28
C.6x^2-15
D.6x^2+13x-28
Answer:
[tex]area = length \times width \\ = (2x + 7)(3x - 4) \\ = (6 {x}^{2} - 8x + 21x - 28) \\ = (6 {x}^{2} + 13x - 28) \: sq \: units[/tex]
The area of the rectangle PQRS is given by the formula D) 6x²+13x-28.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
The area of a rectangle is given by the formula:
A = l × w, where l is the length and w is the width.
In this case,
The length is 2x + 7 and the width is 3x - 4.
Therefore, the area of the rectangle is:
[tex]A = (2x + 7)(3x - 4)\\A = 6x^2 - 8x + 21x - 28\\A = 6x^2 + 13x - 28[/tex]
Therefore, the expression that describes the area of rectangle PQRS is D) 6x²+13x-28.
Learn more about algebraic Expression here:
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5 of 10
A fair dice is rolled.
Work out the probability of getting a number more than 4.
Give your answer in its simplest form.
Answer: 1/3
Step-by-step explanation:
numbers more than 4 are: 5, and 6
so 2/6 chance of rolling a number greater than 4
in simplest form this is 1/3
Answer:
number 4 are t is greater
20 cm
20 cm
20 cm
Find the area of the figure above.
[?] cm2
Answer:
We first ALWAYS have to split the figure apart from each other,
lets split it into a triangle and a square!
Let's find the area of the triangle:
20(height) x 20(base) = 400!
400 x 1/2 (just dividing by 2) = 200!
*Remember* Formula of a triangle is:
B(base) x H(height) x 1/2 (basically dividing by 2)
Now time to find the area of the square!
20 x 20 = 400!
Now let's add both their areas:
400 + 200 = 600!
Step-by-step explanation:
600cm2 is your answer.
The figure has an area of 600 square centimeters.
In this question we need to determine the area of the entire figure, this area is the sum of the areas of a square and two symmetric right triangles, defined by respective formulas, that is:
[tex]A = A_{s} + 2\cdot A_{t}[/tex] (1)
Where:
[tex]A[/tex] - Total area, in square centimeters.[tex]A_{s}[/tex] - Square area, in square centimeters.[tex]A_{t}[/tex] - Triangle area, in square centimeters.By applying area formulas for squares and triangles, we expand (1):
[tex]A = x^{2} + \frac{1}{2}\cdot x\cdot y[/tex] (2)
Where:
[tex]x[/tex] - Side length of the square, in centimeters.[tex]y[/tex] - Height of the two right triangles, in centimeters.If we know that [tex]x = 20\,cm[/tex] and [tex]y = 20\,cm[/tex], then the area of the figure is:
[tex]A = \frac{3}{2}\cdot (20\,cm)^{2}[/tex]
[tex]A = 600\,cm^{2}[/tex]
The figure has an area of 600 square centimeters.
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I NEED HELPPPPP PLEASE
Answer:
66 ft^2
Step-by-step explanation:
2 x 3 = 6
5 x 12 = 60
6 + 60 = 66
Answer:
A=A1 + A2
A= (l×w) + (l×w)
A= ((12-3)×5) + (3×(5+2))
A=66 ft^2
1.) Determine the type of solutions for the function (Picture 1)
2.) Determine the type of solutions for the function (Picture 2)
3.) Use the formula b2−4ac to determine the value of the discriminant of the function f(x)=2x2+8x+6
Use Desmos Scientific (Picture 3)
4.) Describe the transformations of the function
g(x)=−25(x−4)2+6 from the transformation of the parent function
Use phrases such as: the graph is reflected or not reflected/ the graph gets wider or narrower/ the graph slides left or right _________ units and slides up or down _________ (Picture 4)
Answer:
1) 2 nonreal complex roots
2) 1 Real Solution
3) 16
4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)
Step-by-step explanation:
1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0
We get;
y = a·x² + b·x + c
At y = 6, x = -2
Therefore;
6 = a·(-2)² - 2·b + c = 4·a - 2·b + c
6 = 4·a - 2·b + c...(1)
At y = 8, x = 0
8 = a·(0)² + b·0 + c
∴ c = 8...(2)
Similarly, we have;
At y = 8, x = -4
8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8
16·a - 4·b = 0
∴ b = 16·a/4 = 4·a
b = 4·a...(3)
From equation (1), (2) and (3), we have;
6 = 4·a - 2·b + c
∴ 6 = b - 2·b + 8 = -b + 8
6 - 8 = -b
∴ -b = -2
b = 2
b = 4·a
∴ a = b/4 = 2/4 = 1/2
The equation is therefor;
y = (1/2)·x² + 2·x + 8
Solving we get;
x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))
x =( -2 ± √(-12))/1 = -2 ± √(-12)
Therefore, we have;
2 nonreal complex roots
2) Give that the graph of the function touches the x-axis once, we have;
1 Real Solution
3) The given function is f(x) = 2·x² + 8·x + 6
The general form of the quadratic function is f(x) = a·x² + b·x + c
Comparing, we have;
a = 2, b = 8, c = 6
The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;
D = 8² - 4 × 2 × 6 = 16
The discriminant of the function, D = 16
4.) The given function is g(x) = (-2/5)·(x - 4)² + 6
The parent function of a quadratic equation is y = x²
A vertical translation is given by the following equation;
y = f(x) + b
A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)
A vertical reflection is given by an equation of the form; y = -f(x) = -x²
A narrowing is given by an equation of the form; y = b·f(x), where b < 1
Therefore, the transformations of g(x) from the parent function are;
g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.
You are road tripping down the California coast and you notice you need to fill up your gas tank. In CA, sales tax is 2.25%. You spend $56.00 to fill up your tank. How much are you paying in sales tax?
Answer:
$1.26
Step-by-step explanation:
So you just have to find 2.25% of 56.
To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:
2.25% of 56
Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:
2.25% × 56
Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.
2.25% = 0.0225
And now you have:
0.0225 × 56
Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.
But once you multiply 0.0225 × 56, you get an answer: 1.26
Hope this was helpful to you, and don't forget to choose the Brainliest answer!
Solve 9x + 18 = 6y - 3x for y
Answer:
y = 2x + 3
Step-by-step explanation:
Find the x intercepts of the graph of -6x + 5y =24. State your answers as while numbers or as improper fractions in simplest form.
Answer:
x-intercept: -4
y-intercept: 24/5
Step-by-step explanation:
Firstly you have to isolate the y:
-6x + 5y = 24
5y = 6x + 24
y = (6x +24)/5
Now, just think about the graph: when the function touch the x-axis, the value of y is equal to 0, and when the function touch the y-axis, the value of x is 0, so just put they in the function:
y = (6•0 + 24)/5
y = 24/5
0 = (6x + 24)/5
5•0 = 6x +24
0 = 6x +24
-6x = 24
x = 24/-6
x = -4
how to tell the transformation of graphs?
Answer:
:D
Step-by-step explanation:
if the parent function, y=f(x) has a number added (y=f(x)+4) the graph will be translated up. If the parent function has a number subtracted, y=f(x)-4, the graph will be translated down. The image explains more simply, and there are more possible translations (shown in image)
Find the total area round to the nearest 10th if necessary use the pi symbol on calculator
Answer:
[tex] Total \:area\approx 290.5\: ft^2 [/tex]
Step-by-step explanation:
Total area [tex] =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 [/tex]
(where [tex] r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft[/tex])
[tex]\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) [/tex]
[tex]\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) [/tex]
[tex]\therefore Total \:area=1.57(121 + 64) [/tex]
[tex]\therefore Total \:area=1.57(185) [/tex]
[tex]\therefore Total \:area=290.45\: ft^2 [/tex]
[tex]\therefore Total \:area\approx 290.5\: ft^2 [/tex]
A triangle has interior angles of 101 degrees, 65 degrees, what is the other degree?
Answer:
180 degrees - 101 degrees - 65 degrees = 14 degrees
Help help help help help help dont troll
Answer:the correct answer is C
Step-by-step explanation:
(x+1)^2 = -4
What are the solutions?
Answer:
x = 4i - 1 or
x = 4i + 1
Step-by-step explanation:
(x+1)^2 = -4
x+1 = (+-)4i
x = +-4i - 1
==>
x = 4i - 1 or
x = 4i + 1
Can somebody please help? It don't get it
Answer: 4
14 is shown... then you have 10 that is shown how much more would it take to make 14..... 4 more
10+x=14
x=4
Answer:
Equation: 14 - j = 10
j = 4
Step-by-step explanation:
When graphing a sine curve model using the equation Y = sin bx, the period (or wavelength) will be represented by
3
27
So be
period
Determine the equation for the sine curve that models the G# wave if the
wavelength of G# = 0.828 meters.
a.
y = sin(6.03x)
b. y = sin(0.828x)
C. y = sin(5.68x)
d. y = sin(7.59x)
Please select the best answer from the choices provided
use pic to answer
Answer:
its D, y= sin(7.59x)
Step-by-step explanation:
just took the quiz on edge
Help! Will give out brainliest
Answer:
75
Step-by-step explanation:
don't know how to explain hope this helps
it would be 75
-----------------------------------------------------------------------------------------------------------------
how do i do tangent lines?
Answer:
x = 154°
Step-by-step explanation:
The 4 interior angles of the quadrilateral sum to 360°
The angles between the tangents and the radii = 90°
Then
x = 360° - (90 + 90 + 26)° = 360° - 206° = 154°
5y + 32 = -64 find the value of y
Answer:
[tex]y = 19 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex]5y + 32 = - 64 \\ 5y = - 64 - 32 \\ 5y = 96 \\ \frac{5y}{5} = \frac{96}{5} \\ y = 19 \frac{1}{6} [/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day !!!!
~Hi1315~
How do you find the unknown length for a special right angel
Answer: Pythagorean theroem
Step-by-step explanation:
The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle
Please help I need to get this done
Answer:
48
Step-by-step explanation:
So you take 7x-92+6x+12=180
And then you get x=20
Plug in 20 for x for <LOM
And you get and you get 48
Hope this helped!!
PLEASE HELPP :(
Does the relationship shown in the table represent a direct or inverse variation relationship?
A: Direct, as x increases, y also increases
B: Direct, as x increases, y decreases
C: Inverse, as x increases, y also increases
D: Inverse, as x increases, y decreases
Step-by-step explanation:
i think
C: Inverse, as x increases, y also increases
Step-by-step explanation:
C: Inverse, as x increases, y also increases
hope it is helpful to you
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system. How long will it take until there is only 25 mg
of ibuprofen left in the person's system? Show all work and round your answer to
three decimal places.
Answer:
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
Step-by-step explanation:
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system
This means that in 2 hours time
400- 201.6= 198.4 mg was used up.
We need only 25 mg in the system
so 400- 25= 375 mg time is needed
time mg
2 hour 198.4
x 375
Using the cross product rule
x= 375*2/198.4
x= 3.780 hrs
Which means 3 hours and (0.78* 60)= 46.8 minutes.
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
could you help me with this maths problem please
10 - ____ = 9 1/8
i need to find the fraction taken away from 10 to get 9 1/8
Answer:
12
Step-by-step explanation:
I forgot Sorry
Answer:
The answer is 7/8.
You can simply bring 9⅛ to the left hand side
You'll have your answer .
To verify
10-7/8 = 73/8
which further simplifies to 9⅛.
Thanks
Elena has written 3 sports books for kids. One book is about soccer, one is about baseball, and one is about basketball. Elena has sold a total of 3,017 of the books in local bookstores. She sold 3 times as many copies of the soccer book as the baseball book. She sold the same number of copies of the basketball book as the soccer book. How many copies of the soccer book has she sold?
Answer:
1293 soccer books
Step-by-step explanation:
The tricky part about questions like this is: how do I assign variables to the three types of book?
You get a clue from the sentence, "She sold 3 times as many copies of the soccer book as the baseball book." The number of soccer books is being described by referring TO the number of baseball books. Pick a variable and assign it to the item being REFERRED TO!
x = number of baseball books
Then 3x = number of soccer books. The number of basketball books is the same, so 3x = number of basketball books. Here's the list...
x = number of baseball books
3x = number of soccer books
3x = number of basketball books
The total of these is 3017, so
x + 3x + 3x = 3017
7x = 3017
x = 431
Ah! But don't forget to look back at the question: it asks for the number of SOCCER books! That's 3x, so 3(431) = 1293.
A positive number is 5 times another number if 21 is added to both the numbers the one of the new numbers becomes twice the other number. what are the numbers
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? Thus, the required numbers are 7 and 35
A picture is attached!
Hope it helps!
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