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3 years ago

What is an equation of the line that passes through the points (-3, -1) and (-6, 3)?

Mathematics

1 answer:

Andrej [43]3 years ago

8 0

Answer:

y = -4/3x + 2

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= 3-(-1)/-6-(-3)

m= 4/-3

m= -4/3

then use point slope formula (y-y1) =m(x-x1)

(y-(-1)) = -4/3(x-(-3))

simplify

y+1 = -4/3x + 3

turn into slope intercept form

y = -4/3x + 2

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X,y and z are three consecutive even numbers if y^2 - 2 = 2x + 5Z find x,y and z

Rama09 [41]

Answer:

6, 8, 10

Step-by-step explanation:

x y and z are three consecutive even numbers

it means that you can write y = x + 2

and z = y + 2 = x + 4

$y^2-2=2x+5z\\ (x+2)^2-2=2x+5(x+4)\\x^2+4x+4-2=2x+5x+20$

$x^2+4x+2=7x+20\\x^2+4x+2-7x-20=0\\x^2-3x-18=0\\(x+3)(x-6)=0(x=-3\ or \ x=6)$

so the solutions are

x = 6

y = 8

x = 10

6 0

3 years ago

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Solve for p. -1 + 5p = -10 + 4p

sdas [7]

Answer:

p = - 9

Step-by-step explanation:

Given

- 1 + 5p = - 10 + 4p ( subtract 4p from both sides )

- 1 + p = - 10 ( add 1 to both sides )

p = - 9

5 0

3 years ago

10n - 16 = 2(5n-8)] 15n + 25

Margaret [11]

The answer is 1.48226407 hope it helps

5 0

2 years ago

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Explain how you would find the height of a rectangular prism if you know that the volume is 60 cubic cm and that the area of the

Oksi-84 [34.3K]

Base = length * width.

We know that the base has an area of 10
And 60 is the volume. Then 60 / 10 = 6 Which is the height.

7 0

3 years ago

The product of a number and 5 is increased by 12 the result is 32 find the number

frozen [14]

Answer:

Step-by-step explanation:

5 x 4 = 20

+ 12 = 32

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3 years ago

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