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Alex73 [517]
3 years ago
9

Solve 2(x - 4) - 6(2x - 3) = 0 a. x = -4 b. x = -1 c. x = 0 d. x = 1

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0
2(x - 4) - 6(2x - 3) = 0

Distribute the 2 and the 6 using the distributive property, which is: a(b+c) = ab + ac

2x - 8 - 12x + 18 = 0

Simplify

-10x + 10 = 0

Add 10 on both sides

-10x = -10

Divide -10 on both sides

-10x/-10 = -10/-10

x = 1


Your final answer is d. x = 1.
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The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?
Fofino [41]

<u><em>Answer:</em></u>

The shorter leg is 2\sqrt{3} inches

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The 30°-60°-90° is a special type of right-angled triangles

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The length of the side opposite to the 30° is \frac{1}{2} the length of the hypotenuse

The length of the side opposite to the 60° is \frac{\sqrt{3} }{2} of the hypotenuse

<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles

<u>This means that</u> the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is 4\sqrt{3} in

<u>From the above:</u>

Shorter leg = leg opposite to 30° = \frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2} inches

Hope this helps :)

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3 years ago
Given f(x)=-x-1f(x)=−x−1, find f(0)f(0).
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The value of f(0) is -1

<h3>What is a function?</h3>

A function can be defined as an expression, law or rule that explains the relationship between two variables; a dependent and an independent variable.

Given the function;

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So, we have;

f(0) = -(0) - 1

f(0) = -0 - 1

f(0) = -1

Thus, the value of f(0) is -1

Learn more about functions here:

brainly.com/question/17043948

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Answer:

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This is answer

like

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