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salantis [7]
3 years ago
9

The endpoints of sa020-1.jpg are A(9, 4) and B(5, – 4). The endpoints of its image after a dilation are sa020-2.jpg and sa020-3.

jpg. Find the scale factor.

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0
Answer:
The scale factor is (√10) / (4)

Explanation:
The complete question as well as the rule for the distance between two points are shown in the attached image.

To get the scale factor, we will follow these steps:
1- Length of AB:
AB = √(5-9)²+(-4-4)² 
AB = √80
AB = 4√5 units

2- Length of A'B':
A'B' = √(5-6)²+(-4-3)²
A'B' = √50
A'B' = 5√2

3- getting the scale factor:
A'B' = k AB where k is the scale factor
5√2 = k * 4√5
k = (√10) / (4)

Hope this helps :)


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Solve:0.2(6x+1)/3.6=0.5x/9
Andrej [43]

Answer:

x = -0.2

Step-by-step explanation:

Cross multiply

9* 0.2(6x + 1) = 3.6 * 0.5x Combine the coefficients on the right.

1.8 (6x + 1) = 1.8 x                Remove the brackets on the left

1.8*6x + 1.8 = 1.8x               Multiply the factors on the left. Don't do anything with the plus sign

10.8x + 1.8= 1.8x                 Subtract 1.8 from both sides

10.8x = 1.8x - 1.8                 Subtract 1.8x from both sides

10.8x - 1.8x = -1.8

9x = - 1.8                             Divide by 9

x = -1.8/9

x = - 0.2

Check

This is one question you should check. There's lot's of room for an error.

<em><u>LHS</u></em>

0.2(6x+1)/3.6

0.2(6 * -0.2 + 1) / 3.6

0.2( - 1.2 + 1) / 3.6

0.2( - 0.2) / 3.6

- 0.04 / 3.6

- 0.011111111

<em><u>RHS</u></em>

0.5 ( - 0.2)/9

-0.1/ 9

- 0.0111111 And the left and right side check.

3 0
4 years ago
Triangle WXY has coordinates W(1, 4), X(1, 1), and Y(4, 1). Which of the following sets of points represents a dilation of trian
Dmitrij [34]
The answer is the second option, option B, which is: B. <span>W'(2,8), X'(2,2), Y'(8,2)
</span> The explanation is shown below:
 You have the Triangle WXY has coordinates W(1,4), X(1,1), and Y(4,1) and the Triangle of the option B has coordinates W'(2,8), X'(2,2), Y'(8,2). As you can notice, the coordinates of the new triangle are the result of multiply the coordinates of the original triangle by a scale of factor of 2. Therefore, in other words, the Triangle WXY was dilated with a scale of factor of 2.
5 0
3 years ago
Please can you help me with this questions # 3 - # 7. Thanks.
Vladimir79 [104]
#3
385 of 438 is 170.24 but since you cant have a quarter of a person it would be about 170 student
4 0
3 years ago
HALP NEEDED
wel
Answer: the y intercept is -5

You can use the slope intercept form to find the answer. Aka y = mx + b

In this equation m is equal to the slope and b is equal to the y-intercept.

We already know the slope, 4. And we have two different point we can choose from. I’ll show how to solve with the first (1,-1) point.

8 0
3 years ago
Given sin theta=5/13 and cos theta=12/13, which of the following can be proven using a Pythagorean identity?
ZanzabumX [31]

Answer:

4th option

Step-by-step explanation:

given

sinΘ = \frac{5}{13} and cosΘ = \frac{12}{13} , then

( \frac{5}{13} )² + ( \frac{12}{13} )²

= \frac{25}{169} + \frac{144}{169}

= \frac{25+144}{169}

= \frac{169}{169}

= 1

showing sin²Θ + cos²Θ = 1

4 0
2 years ago
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