Answer:
√105
Step-by-step explanation:
The square value of hypotenuse is equal to sum of base and side length (sum their square)
13^2 = 8^2 + BC^2
169 = 64 + BC^2
105 = BC^2
BC = √105
Answer:
≈ 10.25 cm
Step-by-step explanation:
Pythagora
BC² = AB² - AC²
BC = √(13² - 8²)
= √(169 - 64)
= √105
≈ 10.25 cm
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
Answer:
B
Step-by-step explanation:
Use FOIL method
3x(5x) + 3x(- 2) + 3(5x) + 3(- 2)
Simplify to get 15 x^{2} -6x+15x-6
Combine like terms to get 15x^2+9x-6
quadratic funcntion
quadratic term: 15x^2
linear term: 9x
constant: -6
(sorry this was late I had other work and I didn't see this until now)
please mark me brainliest!
solve x cubed + x squared -6x
Answer:
x = 0, -3, 2
Step-by-step explanation:
Step 1: Set equal to 0
x³ + x² - 6x = 0
Step 2: Factor GCF
x(x² + x - 6) = 0
Step 3: Factor quadratic
x(x + 3)(x - 2) = 0
Step 4: Solve for x roots
x = 0, -3, 2
Question 1
Comparing Data Plans
In this part of the activity, you will use tables of ratios to learn how Roger’s father compared the data plans that Dial It Up and Ring Ring offer.
Part A
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answer:
The ratio of the number of gigabytes to the price in dollars for Dial It Up is 1:8
The ratio of the number of gigabytes to the price in dollars for Ring Ring is 1:9
Step-by-step explanation:
The word problem relates to the comparison between the cost of a gigabyte on Dial It Up network and the cost per gigabyte on Ring Ring network
On Dial It Up, 2 gigabytes costs $16
Therefore, 1 gigabytes costs $16/2 = $8
Which gives Dial It Up cost per gigabyte as $8 per gigabyte
On Ring Ring, 1 gigabytes costs $9
Which gives Ring Ring cost per gigabyte as $9 per gigabyte
The ratio of the number of gigabytes to the price in dollars for Dial It Up is 1:8
The ratio of the number of gigabytes to the price in dollars for Ring Ring is 1:9.
Jada sells her artwork at a trade show. She made $40 on the first day by selling one photograph, one painting, and one necklace. She made $110 on the second day by selling two photographs, three paintings, and three necklaces. She made $50 on the last day by selling one photograph, one painting, and two necklaces. Which system of equations matches Jada's sales at the trade show?
Answer:
x + y + z = 40
2x + 3y + 3z = 110
x + y + 2z = 50
Step-by-step explanation:
let
x = photograph
y = painting
z = neckless
the first part reads that jada sells 1 photograph, 1 painting, and 1 neckless. this written in a mathematical formula will be x + y + z = 40
the second part reads that jada sold 2 photographs, 3 paintings, 3 necklaces. This written as a mathematical formula will be 2x + 3y + 3z = 110
the third part reads that jada sold 1 photograph, 1 painting, and 2 necklaces. this written in a mathematical formulawill be x + y + 2z = 50
The countries population in 1992 was 147 million . In 1996 it’s was 153 million. estimate the population in 2008 used The exponential growth formula. Round your answer to the nearest million
Answer:
The population in 2008 is 171 million
Step-by-step explanation:
In order to calculate the population in 2008 using the exponential growth formula we would have to make the following calculation:
population in 2008= population in 1996 + population increased between 1996 and 2008
According to the given data:
population in 1996=153 million
population in 1992=147 million
Therefore, the increase of population from 1992 to 1996=153 million-147 million= 6 million
Therefore, the increase of popoulation is 1 1/2 million each year.
Therefore, if from 1996 and 2008 are 12 years, the population increased between 1996 and 2008= 12 x 1 /1/2 = 18 million.
Therefore, population in 2008=153 million + 18 milliion
population in 2008=171 million
The population in 2008 is 171 million
Find the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
Question 8 options:
A)
y = (x – 2)2
B)
y = 3(x – 2)2
C)
y = 3(x + 2)2
D)
y = (x + 2)2
Answer:
C
Step-by-step explanation:
y=3(x-2)² is the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
what is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
We have to find equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
Vertex=(2, 0)
y=a(x-2)²
12=a(0-2)²
12=4a
Divide both sides by 4
a=3
Now put a value in above equation
y=3(x-2)²
Hence, y=3(x-2)² is the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
To learn more on Parabola click:
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what is y=-1/4x+4 written in standard form? plsss help!
Answer:
The standard form of this slope-intercept form is x + 4y = 16.
Answer:
x + 4y =16
Step-by-step explanation:
[tex]y= \frac{-1}{4}x+4[/tex]
Multiply by 4
[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]
4y = -x + 16
x + 4y =16
Which of the following lines has a negative slope?
Answer: 3rd graph
Explanation: In order to determine which graph shows a downward or negative slope, we need to be able to look at each of the graphs and determine which line is decreasing when going from left to right.
Notice that the 3rd graph is the only graph with a downward
or negative slope which means that this is our answer.
Answer: mark the guy above as brainiest he deserves it.
Step-by-step explanation:
Question 24 on this pictured math sheet please. Have a great day!
Answer:
[tex]y=-6[/tex].
Step-by-step explanation:
If a horizontal line passing through a point (a,b), then the equation of horizontal line is [tex]y=b[/tex] .
In the given question, it is clear that the horizontal line passing through the point (4,-6).
Here, [tex]a = 4[/tex] and [tex]b = -6[/tex].
Since, the equation of horizontal line is [tex]y=b[/tex] , therefore the required equation is
[tex]y=-6[/tex]
Hence, the equation of horizontal line is [tex]y=-6[/tex].
Find the period of the graph shown below.
Answer:
The answer is c
To be able to compete in a particular class, a bodybuilder can weigh in at no more than
175 pounds and no less than 145 pounds. If the clothes the wrestlers wear add 1
pound, what is the actual weight range, in pounds, for these bodybuilders (in interval
notation)?
Answer:
the second one, [144,174]
Step-by-step explanation:
since the suits weigh 1 pound, it means the body builders have to weigh one pound less than they normally would to make up for that one pound. therefore, the range is 144 (one less than 145) to 174 (one less than 175)
hope this helps! comment if any part doesn't make sense so I can clarify ;-3
Adam runs for 10 minutes at 30 miles per hour. How far does he run?
Answer:
Hai.
If adam runs 30 Miles per hour, then we can set an equatio.
30miles for 1 hour
x for 10 minutes.
we should do this equity. 10minutes×30miles÷60minutes.
10×30 = 300÷60 = 5miles.
good luck. if you have question, u can ask
The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest
Answer:
40cm^2
Step-by-step explanation:
becuase since all the sides of the square is equal, when you add it up, you will get 40 as your answer
Which best summarizes the Pythagorean Theorem?
A- The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.
B- The length of the hypotenuse of a right triangle is greater than the sum of the lengths of the legs.
C- The sum of the lengths of the legs of a right triangle equals the length of the hypotenuse.
D- For any triangle, the sum of the squares of any two side
lengths is equal to the square
of the third side length.
Answer: A
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
A and B are the legs of the triangle, and c is the hypotenuse. A would make the most sense.
The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.
What is Pythagoras theorem?" In a right angled triangle the square of the hypotenuse is equals to the sum of the square of the other two sides of the right angled triangle."
According to the question,
As per the Pythagoras theorem ,
(Hypotenuse)² = (Adjacent side)² + ( opposite side)²
Hence, we conclude that Option A is correct.
Learn more about Pythagoras theorem here
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If f(x) = 6x
6x – 9 and g(x) = (x + 6,
which statement is true?
Answer: The second option is correct, 6 is in the domain of f composition g.
The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours: Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (1 point) Select one: a. The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles. b. The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles. c. The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles. d. The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles.
Answer:
C
Step-by-step explanation:
The dependent variable is the one on the y-axis which would be distance. This makes sense because the amount of time the dragonfly flies determines the distance it flies. The equation is y = 22x. When x = 24, y = 22 * 24 = 528.
Analyze the diagram below and complete the instructions that follow.
The two triangular prisms are similar. Find the volume of the smaller prism. Round your answer to the nearest hundredth.
A. 40.7ft³
B. 40.88ft³
C. 41.3ft³
D. 41.8ft³
Answer:
D
Step-by-step explanation:
7.6/3.8 = 2
The dilation is by scale factor 2.
8/2 = 4
11/2=5.5
Calculate the volume.
Cross section × height
4 × 3.8 × 1/2 × 5.5 = 41.8
The volume of the smaller prism is 41.8 ft³.
The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?
Answer:
x ≥ $17, 500
Step-by-step explanation:
To find the cost of the next year model, we will follow the steps below;
Let x be the value of next year's model
$14000 ≤ 80% of x
80% of x ≥ $14000
80% × x ≥$14000
80x/100 ≥ $14000
multiply both-side of the equation by 100
80x ≥ $1400000
Divide both-side of the inequality by 80
80x /80 ≥ $1400000 / 80
x ≥ $17, 500
Therefore the cost of next year's model is
x≥$17, 500
1000 ml solution of acetic acid contains 21 mL of pure acetic acid find the percent concentration of the solution simplify your answer completely
Answer:
Step-by-step explanation:
download math photo it will give you free answers
Help me ASAP for this question
Answer:
18 : 3
Step-by-step explanation:
Basic proportionality question. All we need to here is to expression the given fractions ( [tex]11 \frac{2}{3}[/tex], and [tex]1 \frac{17}{18}[/tex] ) as a fraction itself, and hence expressing the ratio we need to get, in fraction form.
[tex]11 \frac{2}{3} / 1 \frac{17}{18}\\\\[/tex] - So, we have expressed this in a fraction, which we want to reduce
[tex]= \frac{35}{3} / \frac{35}{18}[/tex] - The fractions have been taken as improper fractions
[tex]\\\\= \frac{35}{3}( \frac{18}{35} )\\ \\[/tex] - Now we took the inverse fraction, through multiplication
[tex]= 18 / 3[/tex] - 35 and 35 cancel out, leaving us with the simplified fraction 18 / 3
_____
So now we have 18 / 3, the ratio in fraction form. The scale is thus 18 to 3, or in other words 18 : 3.
Hope that helps!
(07.08 LC) The table below shows the values of y for different values of x: Which equation shows the relationship between x and y? (5 points) Select one: a. y = 3x b. x = 3y c. y = 3 + x d. x = 3 + y
The answer to this question would be A or Y = 3x.
Hope you do great!
ab is x-4 cb 3x-8 what is AC
Answer
-4
Step-by-step explanation:
you make them equal to each other and find x and then dounble it which is -4.
Find the equation of the exponential function represented by the table above
Answer: Y = 3 × 2^x
Step-by-step explanation:
Let assume that the equation of the exponential function represented by the table is
Y = 3(2)^x
When x = 0
Substitute x for 0. Then,
Y = 3 × 2^0
Anything raised to power of zero is equal to one.
Y = 3 × 1 = 3
When x = 1
Repeat the process
Y = 3(2)^1
Y = 3 × 2 = 6
When x = 2
Y = 3(2)^2
Y = 3 × 4 = 12
And finally, when x = 3
Y = 3(2)^x
Substitute x for 3
Y = 3 × 2^3
Y = 3 × 8
Y = 24.
We can therefore conclude that the equation of the exponential function represented by the table above is
Y = 3 × 2^x
Find the area of the triangle. Choices- Question 8 options: a) 70 units2 b) 35 units2 c) 28 units2 d) 14 units2
Answer:
35 (b)
Step-by-step explanation:
Area of a triangle = (height times base)/2
Height = 5
Base = 14
14 times 5 = 70
70/2 = 35
Answer:
it was b ) 35 units
Step-by-step explanation:
cuz 5*14 you got 70
then when is a triangle you have to do 70 divide by half
so you will got you answer which is b)35 units
hope it helps
Categorize the graph as linear increasing, linear decreasing, exponential growth, or negative exponential growth. A. Exponential growth B. Linear increasing C. Linear decreasing D. Negative exponential growth
Answer:
D. Negative exponential growth
Answer:
D
Step-by-step explanation:
BIG BRAIN
Type the expression that results from the following series of steps: Start with z , subtract 5, then times by 3.
Answer:
(z - 5)3
Step-by-step explanation:
Since we are following the directions strictly, we must subtract 5 from z first.
z - 5
Then we multiply the ENTIRE thing by 3
3(z - 5)
Answer:
(z-5)3 or (z-5)*3
Step-by-step explanation:
Use Pedmas. I am sorry I am not good a explaining but that is the answer.
The owner of a produce stand is selling baskets of peaches, priced by the kilogram. She rounded each measurements to the nearest 1/2 of a kilogram
Answer: 1 1/2
Step-by-step explanation:
6 1/2 - 5 = 1 1/2
[tex]\red{plz \: \: \: help} \\ \green{will \: \: give \: \: the \: \: brainliest} \\\blue{ need \: \: \: explanation}[/tex]
Since [tex] \frac{dy}{dx}=-3-4x[/tex], putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.
Thus $\frac{dy}{dx}=-3$
Answer:
Since , putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.
Thus $\frac{dy}{dx}=-3$
Step-by-step explanation:
There are 12 students who have finished their assignments early. The
teacher will choose 3 students to assist her. What is the probability
that Elliot, Nevaeh, and Taylor are chosen?
I think that It’s 25%
Answer:
3/12=1/4
Step-by-step explanation:
elliot,nevaeh and taylor are 3 boys from the 12 boys
so the probability is 3/12
we should always write in simple form so 1/4
that's 25%
hope it helps<3<3
plz rate
Question 6 (5 points)
Solve for the variable x in the equation x + 15 = 62.
Answer: x = 47
Step-by-step explanation: When you're asked to solve for x in an equation, what you're really being asked to do is get x by itself on one side of the equation.
In this problem since 15 is being added to x, in order to get x by itself,
we must subtract 15 from the left side of the equation.
If we subtract 15 from the left side, we must also subtract 15 from
the right side of the equation to keep the equation balanced.
So we have x = 47.