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3 years ago

Show AND justify each step of the solution. You will not receive credit unless you justify the step.

Mathematics

1 answer:

vitfil [10]3 years ago

4 0

Answer:

x=9

Step-by-step explanation:

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The are of a shaded region is 118 ft squared. Which equation can be- used to find the value of X, in feet?

Triss [41]

Answer:

$x^2+ 18x -130=0$

Step-by-step explanation:

Given

See attachment for diagram

Required

The equation to find x

First, calculate the area of the big rectangle using:

$Area = Length * Width$

So:

$A_1 = (x + 6) * (3x - 2)$

The smaller rectangle

$A_2 = (x - 1) * (2x)$

The difference between this areas give the area of the shaded region.

So:

$A_1 - A_1 = 118$

$(x+6)*(3x-2) - (x-1)*2x = 118$

Open brackets

$3x^2 - 2x + 18x -12 -2x^2 +2x = 118$

Collect like terms

$3x^2 -2x^2- 2x +2x+ 18x -12 - 118=0$

$x^2+ 18x -130=0$

<em>The above equation can be used to solve for x</em>

4 0

3 years ago

Devaughn is 9 years younger than Sydney. The sum of their ages is 61. What is Sydney's age?

Lelu [443]

52? ahh thats what im thinking. Maybe wait for someone elses answer

6 0

3 years ago

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Eloise made a list of some multiples of 8/5 write 5 fractions that can be in Eloise list

alexgriva [62]

This question is asking for a list of fractions, that when you pull out common factors, they will all simplify back to the 8/5 fraction.

So if 2 is the common factor, you multiply the numerator and denominator by 2.

2: (8*2)/(5*2)= 16/10

3: (8*3)/5*3)= 24/15

4: (8*4)/(5*4)= 32/20

5: (8*5)/(5*5)= 40/25

10: (8*10)/5*10)= 80/50

Eloise's Potential List:
16/10, 24/15, 32/20, 40/25, 80/50

If you simplify any of these fractions above, you will get 8/5 again.

To work backwards:
80/50: 10 goes into 80, 10 goes into 50= 8/5

16/10: 2 goes into 16, 2 goes into 10= 8/5

Hope this helps! :)

4 0

3 years ago

I really need help this problem

hodyreva [135]

Answer:

it would be b since a number is being taken away from 8

4 0

3 years ago

Follow the steps to solve for the variable in this two-step equation:

lesya692 [45]

The solution of the equation is x = 2

Step-by-step explanation:

The original equation is

$5x-10 = 0$

We solve it using the following steps:

1) We apply the addition property of equality: by adding the same factor on both sides of the equation, the equation does not change.

In this case, we add +10 on both sides, and we get:

$5x-10+10=0+10\\5x=10$

2) We apply the division property of equality: by dividing both sides of the equation by the same number (different from zero), the equation does not change.

In this case, we divide both sides of the equation by 5, and we get:

$\frac{5x}{5}=\frac{10}{5}\\x=2$

Therefore, the solution of the equation is $x=2$ .

Learn more about solving equations:

brainly.com/question/11306893

brainly.com/question/10387593

#LearnwithBrainly

7 0

3 years ago

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