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solmaris [256]
3 years ago
8

Line segmentAB has vertices A(−3, 4) and B(1, −2) . A dilation, centered at the origin, is applied to AB⎯⎯⎯⎯⎯ . The image has ve

rtices A′(−1, 43) and B′(13, −23) .
What is the scale factor of the dilation?

16

13

3

6
Mathematics
2 answers:
zysi [14]3 years ago
5 0

Answer:

The scale factor is

\frac{1}{3}

Step-by-step explanation:

Line segmentAB has vertices A(−3, 4) and B(1, −2) .

A dilation, centered at the origin, is applied to AB. The image has vertices

A'(-1,4/3) and B′(1/3, −2/3) .

We know the rule for dilation by scale factor of k, is

(x,y)\to(kx,ky)

This means that;

A(-3,4)\to A'(-3k,4k)

But we know, A' has coordinates (-1,4/3)

This means that

- 3k =  - 1

k =  \frac{1}{3}

We could also compare:

4k=4/3

Which gives

k=⅓

Morgarella [4.7K]3 years ago
3 0

Answer:

1/3

Step-by-step explanation:

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The height of a hill, h(x), in a painting can be written as a
matrenka [14]

Answer:

First option: 6\ inches

Step-by-step explanation:

<h3> The complete exercise is: "The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches h(x) = -\frac{1}{5}(x)(x -13). What is the height of the hill in the painting 3 inches from the left side of the picture?</h3>

You have the following function provided in the exercise:

h(x) = -\frac{1}{5}(x)(x -13)

You know that h(x) represents the height of the hill (in inches) and "x" represents the distance from the left side of the painting (in inches)

Knowing that you can determine that, if the painting 3 inches from the left side of the picture, the value of "x" is the following:

x=3

Therefore, you need to find the value of   h(x) when  x=3 in order to solve this exercise.  

So, the next step is to substitute  x=3 into the function:

h(x) = -\frac{1}{5}(3)(3 -13)

And finally, you must evaluate in order to find h(3).

You get that this is:

h(3) = -\frac{1}{5}(3)(-10)\\\\h(3) = -\frac{1}{5}(-30)\\\\h(3)=6

4 0
3 years ago
Read 2 more answers
In a population, as n approaches k, the logistic growth equation predicts that:
NARA [144]
Do you have answer choices? 
6 0
3 years ago
On Monday, the ABC Company stock was at $12.80 per share. On Tuesday it gained $3.42, and then lost $9.70 on Wednesday. What is
solong [7]

Answer:

Step-by-step explanation:

12.80+3.42= 16.22

16.22-9.70= 6.52 that's your answer

6 0
3 years ago
PLEASE HELP(Mainly 15 &amp; 16) I can give BRAINLIEST!!!
lisov135 [29]

Answer: sorry I don't get it but the answer for 16 is B sorry

Step-by-step explanation:

What do they teach you they are weird t doesn't make any sense

6 0
3 years ago
(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their wate
Anon25 [30]

Answer:

The margin of error (E)  =0.49

Step-by-step explanation:

Given,

 mean \bar{x}=6.88

 standard deviation \sigma=1.90

 sample size n=41

90\% \quad \text{confidence interval}

Critical value =\frac{z_\alpha}{2}\quad \quad\quad[\because\;\alpha=1-\text{confidence interval}]  

                                                =1-0.90

                                        \Rightarrow \alpha=0.1

Critical value =\frac{z_{0.1}}{2}

                      =z_{0.05}

                      =1.645

The margin of error (E)  =\frac{z_\alpha}{2} \times\frac{\sigma}{\sqrt{n} }

                                       =1.645\times\frac{1.90}{\sqrt{41} }

                                       =0.49

Hence, The margin of error (E) =0.49

Complete question is attached in below.

                     

7 0
3 years ago
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