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sergejj [24]
3 years ago
15

What is the equation of the line that passes through the points (-6,2) and (4,-3)

Mathematics
1 answer:
stich3 [128]3 years ago
7 0

Answer:

The equation is:  9x-y = 56

Step-by-step explanation:

Given two point:  (x,y) = (-6,2)

                            (x,y) = (4,-3)

Now, to find the slope of the line:

Slope =   y1-y2/x1-x2  => 2-4/-6-(-3) = -1/9

Then, the equation of the line passing through a point:

=>   y-y1 = m(x-x1)

=>   y-2 =  -1/9(x-6)

=>  1(y-2) = -9(x-6)

=>  y-2 = -9x+54

=>  9x-y = 56

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The answer should be a fraction
Vedmedyk [2.9K]
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4y2/5y3..
now apply the exponent rule, which is : xa /xb = 1/ xb-a

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5 0
3 years ago
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Simplify the expression (x^3- 5x^2 + 7x - 12) ÷ (x – 4) using long division​
Kisachek [45]

Answer:

{x}^{2} - x + 3

Step-by-step explanation:

Instead, since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -cgives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 −5 7 −12

↓ 4 −4 12

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1 −1 3 0 → {x}^{2} - x + 3

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an {x}^{2}, the −1 [x] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of {x}^{2} - x + 3.

I am joyous to assist you anytime.

5 0
3 years ago
The flagpole in Mario's yard is 3,000 centimeters tall. How many meters tall is the flagpole?
Rzqust [24]
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lesya692 [45]

Answer:

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Step-by-step explanation:

Let s(x)=x-7 and t(x)=4x^2-x+3 .

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Before I continue this means replace the orginal x in t with x-7.

This will then give you

4(x-7)^2-(x-7)+3

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