11 months ago

Which proportion can be used to show that the slope of AC is equal to the slope of CE?

1 answer:

5 0

Slope is given by the expression:

$m=\frac{y_2-y_1}{x_2-x_1}$

We can equal both slopes of mAC and mCE

$\begin{gathered} \frac{3-6}{-1-(-3)}=\frac{-3-3}{3-(-1)} \\ \\ \frac{-3}{2}=-\frac{6}{4} \\ -\frac{3}{2}=-\frac{3}{2} \end{gathered}$

Answer is B.

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Answer:

Option D

Step-by-step explanation:

Whenever we take a square root of a number the ± sign is with it like here in the question

$x^2=20\\\\Apply\ square\ root\ on\ both\ sides\\sqrt{x^2}=\sqrt{20} \\\\The\ square\ cancels\ out\ with\ the\ root\x=\sqrt{20}$

And then x = ±4.47 which means x has two values one is +4.47 and the other is -4.47 so Option D is our answer.

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Step-by-step explanation:

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The domain of g(x) is [4, 7)

<h3>How to determine the domain of g(x)?</h3>

The function is given as:

g(x) = f(x + 3)

Since f(x) is a function, then g(x) is also a function

The domain of f(x) is given as:

[1, 4)

The equivalent of these values in g(x) are

x = 1 + 3 = 4

x = 4 + 3 = 7

Hence, the domain of g(x) is [4, 7)