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Vika [28.1K]
3 years ago
15

2x+12=6x-12 show all work

Mathematics
1 answer:
kenny6666 [7]3 years ago
6 0
First off we want to combine "like-terms"
1. Subtract 6x , so it will look like this: 2x-6x+12=-12
2. Subtract the -12 from the first side so it looks like 2x-6x=-12-12
3. Combine like terms. So: -3x=-24 . The negatives will cancel out when dividing 24/3.

The final answer is 8 after dividing. Hope this helped!
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Line segment pr is a directed line segment beginning at p(-10,7) and ending at r(8,-5). find point q on the line segment pr that
frosja888 [35]

\textit{internal division of a line segment using ratios} \\\\\\ P(-10,7)\qquad R(8,-5)\qquad \qquad \stackrel{\textit{ratio from P to R}}{4:5} \\\\\\ \cfrac{P\underline{Q}}{\underline{Q} R} = \cfrac{4}{5}\implies \cfrac{P}{R} = \cfrac{4}{5}\implies 5P=4R\implies 5(-10,7)=4(8,-5)

(\stackrel{x}{-50}~~,~~ \stackrel{y}{35})=(\stackrel{x}{32}~~,~~ \stackrel{y}{-20})\implies Q=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-50 +32}}{4+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{35 -20}}{4+5} \right)} \\\\\\ Q=\left( \cfrac{-18}{9}~~,~~\cfrac{15}{9} \right)\implies Q=\left( -2~~,~~\cfrac{5}{3} \right)

7 0
2 years ago
there are 12 boys and 18 girls in Mr. Ruiz class the students must form lab groups each group must have the same number of boys
marusya05 [52]
In Mr.Ruiz class there is 40 students so he could put 5 girls and 5 boys in each groups and that would make 4 groups of 10.

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8 0
3 years ago
You are anchoring your boat. the water is 20 feet deep. how much anchor line should you use
scoray [572]

Answer: The answer is 100 to 140 feet.


Step-by-step explanation: Given that we are anchoring our boat and the water is 20 feet deep. We are to calculate the anchor line we should use.

General rule of calculating anchor line is given by

Multiplying the depth of the water by 5 to 7 . For example, if the water depth is 'x' feet, then we will multiply 'x' feet by 5 to 7 to get the amount of anchor line to put out.

Here, the depth of water = 20 feet.

So, the anchor line should be 5 × 20 to 7 × 20 feet, i.e., 100 to 140 feet.

Thus, the anchor line should be 100 to 140 feet.


4 0
3 years ago
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anastassius [24]

The missing length x is 99 m.

Solution:

Given polygons are similar.

<em>If two triangles are similar, then the corresponding sides are in proportion.</em>

$\Rightarrow\frac{81}{18}=\frac{x}{22}

Multiply by 22 on both sides, we get

$\Rightarrow\frac{81}{18}\times 22=\frac{x}{22}\times 22

$\Rightarrow\frac{9}{2}\times 22=x

⇒ 9 × 11 = x

⇒ 99 = x

Switch the sides.

⇒ x = 99

The missing length x is 99 m.

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Brilliant_brown [7]

Answer: whats does x equal too?

Step-by-step explanation:

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