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3 years ago

Find the value of p so the line that passes through (4, -2) and (p, -1) has a slope of negative 1/7

Mathematics

1 answer:

Colt1911 [192]3 years ago

6 0

Can u show what ur saying on a graph so i can solve it for u

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Give EG = 5x+7 EF =5x and FG=2x-7

Len [333]

Answer:

x = 7

42, 35, 7

Step-by-step explanation:

EG = 5x+7
EF = 5x
FG = 2x-7

Point F is on line segment of EG, therefore EG = EF + FG

5x + 7 = 5x + 2x - 7
2x = 14
x = 7

Then

EG = 5*7 + 7 = 42
EF = 5*7 = 35
FG = 2*7 - 7 = 7

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3 years ago

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KonstantinChe [14]

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3 years ago

What is 1/6 + 1/6 + 1/6

tatyana61 [14]

Answer:

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3 years ago

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Joseph has saved $325. He wants to purchase a surfboard that costs $785. If he saves $12 each week from the money he earns mowin

Semmy [17]

Answer: 25.6 weeks

Step-by-step explanation:

He has saved $325 already so the amount left to purchase the surfboard is:

= 785 - 325

= $460

He saves $12 and $6 every week.

= $18.

Number of weeks left:

= 460/18

= 25.6 weeks

6 0

3 years ago

Your family is installing a new square pool in the backyard. The existing patio has a side length of 8 feet. How much of the pat

trasher [3.6K]

The question is an illustration of perimeters.

The amount of patio to remove to install the pool is 8 feet.

From the question, we have:

$\mathbf{Length\ of\ the\ pool = 8}$

$\mathbf{Length\ of\ walkway = 1}$

The perimeter of the patio is:

$\mathbf{P_p = 4 \times Length\ of\ the\ pool}$

$\mathbf{P_p = 4 \times 8}$

$\mathbf{P_p = 32}$

A 1ft walkway means that;

1ft would be subtracted from both sides of the patio before installing the pool

So, the perimeter of the patio in terms of the length of the pool is:

$\mathbf{P_p = 4 \times (x +2)}$

Equate both expressions

$\mathbf{P_p = P_p}$

$\mathbf{4 \times (x +2) = 32}$

Divide both sides by 4

$\mathbf{x +2 = 8}$

Subtract 2 from both sides

$\mathbf{x = 6}$

So, the perimeter of the pool is:

$\mathbf{P_{pool} = 4 \times 6}$

$\mathbf{P_{pool} = 24}$

The amount of patio to remove is:

$\mathbf{Amount = P_p - P_{pool}}$

So, we have:

$\mathbf{Amount = 32 - 24}$

$\mathbf{Amount = 8}$

Hence, 8ft of the patio would be removed to install the pool

<em>See attachment for illustration</em>