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1 year ago

The sum of three times Annabell's age plus her mother's age is 42. He

Mathematics

1 answer:

Hoochie [10]1 year ago

6 0

Answer:

Step-by-step explanation:

First you have to analyze the word equations. Let x equal to Annabell's age and y equal her mother's age

3x + y = 42

6 + 6x = y

Then you use substitution to find x

3x + 6 + 6x = 42

9x = 36

x = 4

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Andrew [12]

Explanation

As you can see all the possible answers have the same form:

$g(x)=ax^2$

By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:

$\begin{gathered} (2,1)=(x,g(x)) \\ x=2 \\ g(2)=1 \end{gathered}$

So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:

$\begin{gathered} g(2)=1=a\cdot2^2 \\ 1=4a \end{gathered}$

Then we can divide both sides by 4:

$\begin{gathered} \frac{1}{4}=\frac{4a}{4} \\ a=\frac{1}{4} \end{gathered}$

Then we get:

$g(x)=\frac{1}{4}x^2=(\frac{1}{2}x)^2$ Answer

Then the answer is option A.

3 0

11 months ago

A ladder leans against the side of a house. The angle of elevation of the ladder is 67 degrees when the bottom of the ladder is

Lynna [10]

Answer:

32.98 ft

Step-by-step explanation:

What you have right there is a triangle.

The base of the triangle is given (14 ft)

The angle from the ladder makes while leaning on the house is 67 degrees.

This is a simple trigonometry problem

You want to find the length of the ladder and you don't have the hypotenuse

So you can use the function tan to find it.

tan(Ф) = opposite/adjacent

You are looking for the opposite side length

So you do tan(Ф) * adjacent = opposite

tan(67) * 14 = 32.98 ft

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Step-by-step explanation:

Given

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tatyana61 [14]

Answer:

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Step-by-step explanation:

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