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zloy xaker [14]
3 years ago
15

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Mathematics
1 answer:
luda_lava [24]3 years ago
8 0

Answer:

113

Step-by-step explanation:

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will give brainliest! if the slope of the line through the points (a,14) and (8,a) is 1/2, what is the value of a?
castortr0y [4]

Answer:

a = 12

Step-by-step explanation:

Formula for calculating the slope of a line is expressed as;

m = ∆y/∆x

m = y2-y1/x2-x1

Given

m = 1/2

x1 = a

y1 = 14

x2 = 8

y2 = a

Required.

Value of a

Substitute the given parameters into the formula

1/2 = a-14/8-a

Cross multiply

1(8-a) = 2(a-14)

8-a = 2a-28

Collect like terms

-a-2a = -28-8

-3a = -36

a = -36/-3

a = 12

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olya-2409 [2.1K]
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Mnenie [13.5K]

Answer:

\dfrac{3x^3+x-11}{x+1}=3x^2-3x+4-\dfrac{15}{x+1}

Step-by-step explanation:

We want to determine the result of the quotient: \dfrac{3x^3+x-11}{x+1}

We follow the procedure of long division which is set out int he table below.

\left|\begin{array}{c|c}&3x^2-3x+4\\-----&-----\\x+1&3x^3+x-11\\Subtract&-(3x^3+3x^2)\\&------\\&-3x^2+x-11\\Subtract&-3x^2-3x\\&------\\&4x-11\\Subtract&4x+4\\&------\\&-15\end{array}\right|

Therefore:

\dfrac{3x^3+x-11}{x+1}=3x^2-3x+4-\dfrac{15}{x+1}

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