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Gnesinka [82]
3 years ago
9

Write the equation of the line that passes through the points (-7, 7) and (-6, -5).

Mathematics
1 answer:
defon3 years ago
4 0

Answer:

y = -12x - 77

Step-by-step explanation:

The standard form of the equation is expressed as y = mx+b

m is the slope

Given the coordinate (-7, 7) and (-6, -5).

m = -5-7/-6+7

m = -12/1

m = -12

Get the intercept b

Substitute m= -12 and (-7 7) into y = mx+b

7 = -12(-7) + b

7 = 84 + b

b = 7 - 84

b = -77

Get the required equation

y = mx+b

y = -12x +(-77)

y = -12x - 77

This gives the required equation

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5 muffin and 9 scones is 14

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What is the value of x in the equation 8x – 2y = 48, when y = 4?
luda_lava [24]

Answer:

7

Step-by-step explanation:

8x-2y=48, replace y with 4, 8x-2(4)=48, multiply, 8x-8=48, add 8 to both sides to remove the -8, 8x=56 and finally divide by 8 to remove 8 from x, x=7.

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uranmaximum [27]

Answer:

none of the equations are true, B!

Step-by-step explanation:

8 isn't equal to 7

9 isn't equal to 8

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Solve the following equaition: (n/3) - 7 = -17​
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Step-by-step explanation:

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3 years ago
The area of a rectangle is 60 square inches. The length is x – 3, and the width is x + 8. Find the value of x, and the dimension
Vikki [24]

Answer:

x = 7

Length = 4 inches , Width = 15 inches

Step-by-step explanation:

<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>

Area of rectangle = Length × Width

A = L × W

L = x - 3

W = x + 8

Therefore:

A = L × W

60 = ( x - 3 ) ( x + 8 )

( x - 3 ) ( x + 8 ) - 60 = 0

x^2 + 8x - 3x - 24 - 60 = 0

x^2 + 5x - 84 = 0

x^2 + 12x - 7x - 84 = 0

x ( x + 12 ) - 7 ( x + 12 ) = 0

( x + 12 ) ( x - 7 ) = 0

THEREFORE:

x = - 12 , x = 7

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>

L = x - 3

L = ( - 12 ) - 3

L = - 15

OR

L = ( 7 ) - 3

L = 4

THEREFORE:

Length can not be a negative number. Hence, L can not equal to - 15.

L = 4 inches

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

W = x + 8

W = ( 7 ) + 8

THEREFORE:

W = 15 inches

5 0
3 years ago
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