2 years ago

The table below shows values for a function.

Mathematics

1 answer:

Evgen [1.6K]2 years ago

6 0

Answer:

Step-by-step explanation:

1+1^2=4

2+1=3^2=9

3+1=4^2=16

^(times by self)

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Mashutka [201]

Answer:

we choose (3,4)

Step-by-step explanation:

Given the coordinates:

A (5, 2)
B (5, -2)
C (2,1)
L (-5, 6)
M (-5, -6)

To find a distance between two points or the length of the segment, we use the following formula:

$\sqrt{(x2-x1)^2+(y2-y1)^2}$

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Because A and B are located in the same line x =-5

=> the lenght LM = $\sqrt{(-6-6)^{2} } =\sqrt{-12^{2} } =12$

Because ABC is similar to LMN

=> the ratio of LM : AB = 12:4 = 3:1

<=> the ratio LN : CA = 3:1

We need to find the lenght of CA

= $\sqrt{(2-5)^2+(1-2)^2} = \sqrt{-3^{2} + -1^{2} } = \sqrt{10}$

=> the lenght of LN = 3CA = 3 $\sqrt{10}$

Let (x, y) is the coordinate of N, we have:

The length of LN: $\sqrt{(x+5)^2+(y-6)^2} = 3\sqrt{10}$ = $\sqrt{90}$

Let try all the possible answer;

(3,4) => $\sqrt{(3+5)^2+(4-6)^2} = \sqrt{8^{2} + -2^{2} } = \sqrt{90}$ True

So we choose (3,4)

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