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3 years ago

How do I find the values of these

Mathematics

1 answer:

skad [1K]3 years ago

3 0

Since the triangles are similar, then 32 = x+7 those two angles are too
solve for "x"

now using proportions $\bf \cfrac{\textit{small triangle}}{\textit{large triangle}}\qquad \cfrac{JK}{18}=\cfrac{12}{12+10}$

solve for JK

$\bf \cfrac{\textit{small triangle}}{\textit{large triangle}}\qquad \cfrac{12}{12+10}=\cfrac{9}{9+KG}\implies 12(9+KG)=(22)9
\\\\\\
108+9KG=198$

solve for KG

the scale factor of the perimeter of both triangles is just the same as the ratio of the sides, or $\bf \cfrac{12}{12+10}$

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Jordan will hike the trail at a rate of 4mph. Write a linear equation to represent the distance Jordan still has to walk after x

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<h3>What is the distance?</h3>

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We have to determine the distance.

So distance = speed× time

Given that his speed is 4 mph and x hours of walking, then:

So distance = 4 × x

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The y-intercept would be if substitute x = 0, then:

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Hence, the linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.

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1 year ago

Which function is the inverse of f(x) = –5x – 4?

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Answer:

f^(-1)(x) = \frac{-1}{5} (x+4)

Step-by-step explanation:

Given is a function

$f(x) = -5x-4\\$

To find its inverse.

We must check whether f is one to one or onto first

If -5x1-4 = -5x2-4 we get x1=x2

Hence f is one to one

Also for every f(x) we can find a x so f is onto.

So inverse exists

Let

$y=-5x-4\\-5x=y+4\\x=\frac{-1}{5} (y+4)$

Replace x by f inverse and y by x

$f^(-1)(x) = \frac{-1}{5} (x+4)$

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