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anastassius [24]
3 years ago
6

Complete the equation of the line through (-8-2) and (-4-6)

Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Answer:

Step-by-step explanation:

since you are given two points use the point- slope formula and the slope formula

y-y1 = m( x -x1)   and  m = y2 -y1 / x2 - x1        

find the slope m, 1st

p1 = (x1,y1)  given (-8,-2)

p2 = (x2,y2) given (-4,-6)

m = -6-(-2) / -4-(-8)

m = -6+2 / -4+8

m = -4 / 4

m = -1  :)

now use the slope you just found and the point-slope with either given point.. pick one.. which ever seems easier... they seem about the same to me

y - (-8) = -1(x-(-2))

y+8 = -1(x+2)

y+8 = -x-2

y = -x-2-8

y= -x-10

and your done :)

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Given:

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\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}

To find:

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Solution:

We have,

\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}

On simplification, we get

(3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}

6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}

6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}

(6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}

On comparing both sides, we get

6-12a=-18

-12a=-18-6

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8-3a=2

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a=\dfrac{-6}{-3}

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Therefore, the value of a is 2.

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2 years ago
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sattari [20]

Answer:

Vertex is (-1, -9)

Step-by-step explanation:

To find the x-value of the vertex, we use the formula

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=

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