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2 years ago

INTERMEDIATE LEVEL

Mathematics

1 answer:

vodomira [7]2 years ago

4 0

y = (1/2)x - 4

Step-by-step explanation:

The equation of the given line is

y = -2x + 13

The equation of the perpendicular line that we need must have a slope of 1/2 and passes through (2, -3) so the form should be

y = (1/2)x + b

To solve for b, use the point (2, -3)

-3 = (1/2)(2) + b ---> b = -4

Therefore, the equation that we need has the form

y = (1/2)x - 4

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Please help. Not sure how to do this one

Sladkaya [172]

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Step-by-step explanation:

Given

$f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2$

We have to find

$(hofog)(x)$

This will be equal to:

$h(f(g(x)))$

So we have to find the composition of (fog)(x) first

$(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}$

Now,

$(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}$

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Keywords: Composition, Functions

Learn more about function composition at:

#LearnwithBrainly

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2 years ago

Help me solve this problem step by step because I’m having a hard time

jarptica [38.1K]

Answer:

x=3, y=10

Step-by-step explanation:

in triangle KLN all the angles are equal making it an equilateral trianlge. GIven one side being 6, we know all the sides are 6 including the side with the expression y-4.

this means

y-4=6

y=10

Using the converse of the base angles theorem(meaning we know the base angles are congruent so the two sides are conguent), we know that

6=x+3

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago