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Alex777 [14]
1 year ago
14

Question 14(1 point)Find the rate of change of Pete's height from 3 to 5 years.17.Time (years) 123 4 15 16Height/in.) 27 35 37 4

2 45 49Blank 1:

Mathematics
1 answer:
kupik [55]1 year ago
5 0

The rate of change of Pete's height from 3 to 5 years can be determined as,

\begin{gathered} \frac{\Delta H}{\Delta t}=\frac{H_5-H_3_{}}{5-3} \\ =\frac{45-37}{2} \\ =\frac{8}{2} \\ =4 \end{gathered}

Thus, the required rate of change from 3 to 5 years is 4 in/year.

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1) After a dilation, (-60, 15) is the image of (-12, 3). What are the coordinates of the image of (-2,-7) after the same dilatio
BARSIC [14]

Answer:

a) k = 5; (-10, -35)

Step-by-step explanation:

Given:

Co-ordinates:

Pre-Image = (-12,3)

After dilation

Image = (-60,15)

The dilation about the origin can be given as :

Pre-Image(x,y)\rightarrow Image(kx,ky)

where k represents the scalar factor.

We can find value of k for the given co-ordinates by finding the ratio of x or y co-ordinates of the image and pre-image.

k=\frac{Image}{Pre-Image}

For the given co-ordinates.

Pre-Image = (-12,3)

Image = (-60,15)

The value of k=\frac{-60}{-12}=5

or k=\frac{15}{3}=5

As we get k=5 for both ratios i.e of x and  y co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.

To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.

Pre-Image(-2,-7)\rightarrow Image((-2\times5),(-7\times 5))

Pre-Image(-2,-7)\rightarrow Image(-10,-35) (Answer)

7 0
3 years ago
Determine whether y varies directly with x in the equation 6x − 3 = 2y − 3. If so, what is the constant of variation?
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Answer:

I am pretty sure it is 3

Step-by-step explanation:

7 0
3 years ago
Simplify this problem
ikadub [295]

Answer:

\boxed{  \frac{ \sqrt[3]{ {x}^{11} } }{4} }

Step-by-step explanation:

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7 0
3 years ago
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