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posledela
2 years ago
13

Simplify. (12 + 8m) - 2m 18m 12 + 10m 12 + 6m 12 - 6m

Mathematics
1 answer:
Colt1911 [192]2 years ago
6 0

Answer:

12 + 6m

Step-by-step explanation:

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Complete the equation of the line through (2, -2) and (4,1)
Ann [662]

Answer:

y = 3/2x - 5

Step-by-step explanation:

To find the equation of the line

Step 1: find slope

( 2 , -2) ( 4 , 1)

x_1 = 2

y_1 = -2

x_2 = 4

y_2 = 1

Insert the values into

m = (y_2 - y_1) / (x_2 - x_1)

m = ( 1 - (-2) / (4 - 2)

= ( 1 + 2) / ( 4 -2 )

= 3 / 2

m = 3/2

Step 2: substitute m into the equation

y = mx + c

y = 3/2x + c

Step 3: substitute any of the two points into the equation

Let's pick (4 , 1)

x = 4

y = 1

y = 3/2x + c

1 = 3/2(4) + c

1 = 3*4/2 + c

1 = 12/2 + c

1 = 6 + c

1 - 6 = c

c = 1 - 6

c = -5

Step 4 : substitute c into the equation

y = 3/2x + c

y = 3/2x - 5

The equation of the line is

y = 3/2x - 5

3 0
3 years ago
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Add. 8x^2-4x-3+5x^2-2x-6
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Answer:

13 x^2 -6x -9

Step-by-step explanation:

8x^2-4x-3+5x^2-2x-6

Combine like terms

8x^2+5x^2        -4x-2x       -6-3

13 x^2                 -6x             -9

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Quiz
LekaFEV [45]

Answer:

V(w)  = 6*w³   [cubic units]  

Step-by-step explanation:

h height of the rectangular prism

L the length of the base

w the width of the base

Then the volume of the prism is area of the base times heigth therefore

V(p) =  L*w*h    [cubic units]         (1)

Now  the length of the base  L = 2*w

And the height   of the prism is  h = 3*w

If we plugging these values in equation (1) we get olume of a prism as function of w then

V(w) = 2*w* w * 3*w

V(w)  = 6*w³   [cubic units]

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3 years ago
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