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The coordinates of the midpoint of a line segment joining two points (x₁,y₁) and (x₂, y₂) is given by
[(x₁+x₂)/2, (y₁+y₂)/2].
Given:
(x₁,y₁) = (3,6) for the point U.
For the midpoint,
(x₁+x₂)/2 = 5 or x₁ + x₂ = 10
(y₁+y₂)/2 = -10 or y₁ + y₂ = -20
Therefore, the coordinates of V are
3 + x₂ = 10 => x₂ = 7
6 + y₂ = -20 => y₂ = -26
Answer: V (7, -26)
The first thing to is factor the denominator of the rational function:

to do this we'll need to find two number whose product is -3 and its sum is -2; those numbers are 1 and -3, so:

Now we can rewrite our rational function as follows:

Notice that we have a common factor (x-3) in both numerator and denominator; therefore we can cancel them:

Taking all the above into consideration we realize that x=3 is a removable discontinuity; the correct answer is the first one: there is a hole in x=3 and asymptote at x=-1.
Answer:
The equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

Step-by-step explanation:
Given
Point-Slope Form equation is








Therefore, the equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

Obtuse scalene, because none of the side are equal ( which would make none of the angles equal), but the one angle is over 90°