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zimovet [89]
3 years ago
9

Choose the graph which represents the solution to the inequality. 12x + 4 ≤ -8

Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer:

<h2>x\leq -1</h2>

Step-by-step explanation:

Steps:

12x+4-4\leq -8

Subtract 4 from both sides:

12x+4-4\leq -8-4

Simplify:

12x\leq \frac{-12}{12}

Divide both sides by 12:

\frac{12x}{12} \leq \frac{-12}{12}

Simplify:

x\leq -1

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Two parallel lines are crossed by a transversal. What is the value of h? h = 60 h = 80 h = 100 h = 120
lisabon 2012 [21]
I added the diagram of the question.

<u><em>Answer:</em></u>
h = 60°

<u><em>Explanation:</em></u>
We are given that lines k and l are parallel lines.
This means that angles 120° and h are <u>supplementary angles</u>.
This means that their measures <u>add up to 180°</u>

<u>Therefore:</u>
180° = 120° + h
h = 180° - 120°
h = 60°

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3 years ago
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2. Simplify the following problem using the distributive property: 2x+3y+2(x-y)-3x . Show each step in your calculation. Justify
sergeinik [125]
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A mosquito accelerates at a rate of 0.4 m/s2 for an unknown amount of time. How long did the mosquito atcelerate if its velocity
cestrela7 [59]

Answer:

3.25 seconds.

Step-by-step explanation:

We can use the formula <em>Final Velocity = Initial Velocity + Acceleration * Time </em> to solve this problem.

First, we plug in the values we already know, and then we solve like normal:

1.5 = 0.2 + 0.4*t

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3.25 = t

Therefore, the mosquito accelerated for 3.25 seconds.

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abruzzese [7]

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Notice however, 6/9 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 9 which is 3 to get the equivalent fraction 2/3.

Therefore, the ratio 6 out of 9 can be rewritten as the fraction 2/3.

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