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3 years ago

1. Find the distance between the points (1, 2) and (-2,-2).

Mathematics

1 answer:

alexandr1967 [171]3 years ago

5 0

Answer:

Step-by-step explanation:

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I have to get this so I pass help plz

pshichka [43]

Answer:

$\boxed{\sf x=-2}$

$\boxed{\sf y=-4}$

Step-by-step explanation:

First, Let's solve for x in -2x+2y=-4:

$\sf -2x+2y=-4$

Subtract 2y from both sides:

$\sf -2x+2y-2y=-4-2y$

$\sf -2x=-4-2y$

Divide both sides by -2:

$\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}$

$\bold{ x=y+2}$

Now, we'll substitute x=y+2 to 3x+3y=-18:

$\sf 3x+3y=-18$

→ let x=2+y

$\sf 3\bold{(2+y)}+3y=-18$

Simplify:

$\sf 6+6y=-18$

Now, let's solve for y in 6+6y=-18

$\sf 6+6y=-18$

Subtract 6 from both sides:

$\sf 6+6y-6=-18-6$

$\sf 6y=-24$

Divide both sides by 6:

$\sf \cfrac{6y}{6}=\cfrac{-24}{6}$

$\bold{ y=-4}$

Now, substitute y=-4 into x=2+y:

$\sf x=2+y$

→ let y = -4

$\sf x=2+\bold{-4}$

$\bold{x=-2}$

Therefore, x=-2 and y=-4.

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5 0

2 years ago

Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages comple

bekas [8.4K]

Answer:

8x = 136

Where: x = 17

Step-by-step explanation:

Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.

Let the number of pages read per day = x

Hence, the number of pages after 8 days = 8 × x = 8x

Total number of pages = y= 136

Therefore:an equation relating x, the number of days, to y, the total pages.

= 136 = 8x

Solving for x

136/8 = x

x = 17

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