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Nezavi [6.7K]
2 years ago
8

Which number line represents the solution set for the inequality –4(x 3) ≤ –2 – 2x?

Mathematics
1 answer:
Anna71 [15]2 years ago
3 0

The solution to the inequality expression is x ≥ - 5

<h3>Inequality expressions</h3>

Inequality are expressions not separated by an equal sign. Given the inequality;

–4(x + 3) ≤ –2 – 2x

Expand

-4x - 12  ≤ -2 - 2x

Collect the like terms

-4x + 2x  ≤ -2 + 12

-2x  ≤  10

Divide both sides by -2

-2x/-2  ≤ 10/-2
x ≥ - 5

Hence the solution to the inequality expression is x ≥ - 5

learn more on inequality here: brainly.com/question/24372553

#SPJ1

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Which equation represents the line that is parallel to segment RS in the triangle below and passes through point T?
mestny [16]

Answer:

y  = \frac{1}{2}x +4

Step-by-step explanation:

Given:

R = (0,0)

S= (8,4)

T = (-2,3)

First, we have that the line is parallel to RS.

This means that the line has the same slope as RS and the slope of RS is calculated as follows:

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

m = \frac{4-0}{8-0}

m = \frac{4}{8}

m = \frac{1}{2}

So, the line has a slope of m = \frac{1}{2}

Next, we have that the line passes through T = (-2,3).

The equation of the line is then calculated using the following formula

y - y_1 = m(x - x_1)

y - 3 = \frac{1}{2}(x - (-2))

y - 3 = \frac{1}{2}(x +2)

Open bracket

y - 3 = \frac{1}{2}x +1

Make y the subject

y  = \frac{1}{2}x +1+3

y  = \frac{1}{2}x +4

8 0
3 years ago
I want help! Please
Sedbober [7]

Answer:

145

Step-by-step explanation:

125+75+150+175+200= 725

725÷5=145

6 0
3 years ago
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MAVERICK [17]
Vertical angles are always equal. The vertical angles are the ones opposite each other. Therefore x would equal 40.
5 0
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What is the slope of the line below?
icang [17]

Answer:

slope is 2

Step-by-step explanation:

8-2/4-2

3 0
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Please help with this and explain the answer.
zysi [14]

Answer:

48.06

Step-by-step explanation:

b^2+c^2=A^2

45+16=42.06

add the extra 6

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