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aleksley [76]
3 years ago
9

−7x−5=4x-29 What is the answer?

Mathematics
2 answers:
Helga [31]3 years ago
8 0
I think x is equaled to 29/39
PolarNik [594]3 years ago
4 0
-7x-5=4x-29
-11x-5=-29
-11x=-24
X= 2 and 2/11
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============================================================

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We'll use the distance formula here. Rather than compute the distance d based on two points given, we'll go in reverse to use the given distance d to find what the coordinate must be to satisfy the conditions.

We're given that d = 5

The first point is (x_1,y_1) = (5,2) and the second point has coordinates of (x_2,y_2) = (x,5) where x is some real number.

We'll plug all this into the distance formula and solve for x.

d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\5 = \sqrt{(5-x)^2+(2-5)^2}\\\\5 = \sqrt{(5-x)^2+(-3)^2}\\\\5 = \sqrt{(5-x)^2+9}\\\\\sqrt{(5-x)^2+9} = 5\\\\(5-x)^2+9 = 5^2\\\\(5-x)^2+9 = 25\\\\(5-x)^2 = 25-9\\\\(5-x)^2 = 16\\\\5-x = \pm\sqrt{16}\\\\5-x = 4 \ \text{ or } \ 5-x = -4\\\\-x = 4-5 \ \text{ or } \ -x = -4-5\\\\-x = -1 \ \text{ or } \ -x = -9\\\\x = 1 \ \text{ or } \ x = 9\\\\

This means that if we had these three points

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