Use the distributive property to expand -4(-2/3+3x). Which is an equivalent expression?

2 answers:

7 0

$- 4 \times ( \frac{2}{3} + 3x)$
Multiply each term in the parentheses, namely 2/3 and 3x, by the only term outside of the parentheses, -4.

Each of the resulting products becomes a new term in the addition.

$( - 4 \times \frac{2}{3} ) + ( - 4 \times 3x)$
$( - \frac{8}{3} ) + ( - 12x)$
$- \frac{8}{3} - 12x$
You may choose to keep the answer this way, or continue to change the improper fraction into a proper fraction. A lot of teachers also prefer to have the highest degree terms (terms that have variables with the highest powers) on the left.

$- 12x - 2 \frac{2}{3}$

Nadusha1986 [10]3 years ago

3 0

Answer:

D. 8/5- 12x

Step-by-step explanation: HOPES THIS HELPS!

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1. Suppose you take a coin and flip it 4 times in a row. After each flip you record whether the coin landed heads or tails. What

bekas [8.4K]

Answer:

25%

Step-by-step explanation:

Great question, since a regular coin has two sides one heads and one tails. That gives us a 50% probability of it landing on either side of the coin. Since we would like to know the probability of getting 2 heads in a row, we would need to multiply the probability of the first toss landing on heads with the second toss landing on heads, like so...

$\frac{1}{2} *\frac{1}{2} =\frac{1}{4}$

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3 years ago

Plot the points (2, 4) and (2, -8) on the coordinate plane below.

bazaltina [42]

They are 12 units apart

3 0

3 years ago

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H? 42°

Vinvika [58]

The complete question is shown in the attached image

Answer:
measure angle H = 42°

Explanation:
There is a theorem that states that:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

In the given, we have:
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H

Based on the above rule:
measure angle E = measure angle D + measure angle H

We are given that:
angle E = 87°
angle D = 45°

Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°

Hope this helps :)