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3 years ago

Given that f(x) = x2 - 13 and g(x) = 5 - x, find (f-9)(10), if it exists.

Mathematics

1 answer:

rosijanka [135]3 years ago

6 0

Answer:

the value for f-9 (10) doesn't exist

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Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)

Sedbober [7]

Answer: $\bold{y=-\dfrac{1}{3}x-1}$

Step-by-step explanation:

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\$

Next, find the midpoint of (4, 1) and (2, -5):

$Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)$

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

$y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\$

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3 years ago

8, 2, 0, 2, 8, 18 What are the next three numbers in the sequence? What is the pattern?

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Answer:

22,40,62

Step-by-step explanation:

0+2=2 2+6=8 8+10=18

2 6 10 14 18 22 four in between

so you will add these numbers each time

18+14=22 22+18=40 40+22=62

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3 years ago

What’s the answer to this question ?

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Answer:

$y=60h+2.5$

Step-by-step explanation:

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