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Kisachek [45]
3 years ago
8

5 STARS AND 20 POINTS PLEASE HELP ASAP

Mathematics
1 answer:
velikii [3]3 years ago
7 0

Answer:

k=3

Step-by-step explanation:

Given

g(x) = mx + b

f(x) = (mx + b) + k,

both graphs have the same slope m,

the equation y = mx + b; where b is where the line crosses the y-axis

for g(x) the line crosses at b = 1

for f(x) the line crosses at b = 4

solve for k; k = 4-1 = 3

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Answer:

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Step-by-step explanation:

As the two figure are the image and pre-image of a dilation.

Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.

As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.

It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in

Lets determine the missing side of the right side triangle by the same rule.

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So, the value of x will be 2.5

Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.

so

y + 1 = 2(3)         ∵ 3 in (image side) is multiplied by 2

y + 1 = 6

y = 6 - 1

y = 5

So, the value of y = 5

Therefore,

  • x = 2.5
  • y = 5
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