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Akimi4 [234]
3 years ago
6

Add f(x) = 4x-5 and g(x) = 2x (f + g)(x)

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

Step-by-step explanation:

f(x) = 4x-5

g(x) = 2x

(f + g)(x)=f(x) +g(x)=4x-5+2x=6x-5

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Factor by grouping <br> 6x^2-12x+x-2<br> factor completely
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Suppose that the die is rolled twice, rather than once. find the probability of rolling an even number on at least one die. find
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4 years ago
What are the vertices of A'B'C if ABC is dilated by a scale factor of 2?
malfutka [58]

The vertices of A'B'C' if A(0, 10), B(8, 6), C(4, 2) is dilated by a scale factor of 2 are;

  • C. A'(0, 20), B'(16, 12), C'(8, 4)

<h3>Which method can be used to find the vertices of A'B'C'?</h3>

Given that triangle ABC is dilated by a scale factor of 2, we have;

A'B' = 2 × AB

A'C' = 2 × AC

B'C' = 2 × BC

Length of AB = √((8-0)^2 + (6-10)^2) = 4•√5

Length of AC = √((4-0)^2 + (2-10)^2) = 4•√5

Length of BC = √((8-4)^2 + (6-2)^2) = 4•√2

By multiplying the given coordinates by the scale factor, we have;

A' = 2 × (0, 10) = (0, 20)

B' = 2 × (8, 6) = (16, 12)

C' = 2 × (4, 2) = (8, 4)

A'B' = √((16-0)^2 + (12-20)^2) = 8•√5

A'C' = √((8-0)^2 + (4-20)^2) = 8•√5

B'C' = √((16-8)^2 + (12-4)^2) = 8•√2

Therefore when we have;

A'(0, 20), B'(16, 12), C'(8, 4), we get;

  • A'B' = 2 × AB
  1. A'C' = 2 × AC
  2. B'C' = 2 × BC

The correct option is therefore;

  • C. A'(0, 20), B'(16, 12), C'(8, 4)

Learn more about finding the distance between points on the coordinate plane here:

brainly.com/question/7243416

#SPJ1

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2 years ago
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