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4 years ago

In a coordinate system, points A(-2,3) and B(6,-1) have a midpoint of X. What is the midpoint between A and X?

Mathematics

1 answer:

mamaluj [8]4 years ago

7 0

Answer:

M (0,2)

Step-by-step explanation:

The coordinates of the mid point of mid point of AB (X,Y)

X =Ax - 1/4 * (Ax + Bx) = 1/4 * (2 + 6) = 2 ... Ax and Bx at opposite side of 0

Y = 1/4 * (3 + 1) = 1 ....... Ay and By at opposite side of 0

M (0,2)

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3 years ago

A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi

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Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is $\frac{dx}{dt}$ when y = 6 and $\frac{dy}{dt}=-2$ .

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$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and divide everything by 2 to simplify:

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4 years ago

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3 years ago

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Solve the equation for x, where x is a real number (5 points): <br> -2x^2 + 5x - 10 = 3

KatRina [158]

Subtract 3 from both sides so that the equation becomes -2x^2 + 5x - 13 = 0.
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                                      x = [ -b ± √(b^2 - 4ac) ] / (2a)
                                      x = [ -5 ± √((5)^2 - 4(-2)(-13)) ] / ( 2(-2) )
                                      x = [-5 ± √(25 - (104) ) ] / ( -4 )
                                      x = [-5 ± √(-79) ] / ( -4)
Since √-79 is nonreal, the answer to this question is that there are no real solutions.

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