The question given above will require a good understanding of surd operation in order to arrive at the best answer
To solve this problem, we shall simply rationalise the denominator. This can be obtained as illustrated below:
Therefore, from the calculations made above, the solution to the question is 7√2
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Answer:
Step-by-step explanation:
a reciprocal is a number that when multiplied by a given number gives 1 as product.
16 * x = 1
x = 1/16
9/10 * x = 1
x = 10/9
Answer:
7x -2y = 6
Step-by-step explanation:
The perpendicular bisector has a slope that is the opposite of the reciprocal of the slope of the segment between the two points. It must go through the midpoint of the segment.
The latter can be found by averaging the coordinates of the end points:
((-5, 6) +(9, 2))/2 = ((-5+9)/2, (6+2)/2) = (2, 4)
The difference in endpoint coordinates is ...
(Δx, Δy) = (9-(-5), 2-6) = (14, -4)
For our purpose, we're only interested in the ratio of these values, so we can divide both by the common factor of 2:
(Δx, Δy) = (7, -2)
A line perpendicular to this segment through the point (h, k) can be written as ...
Δx·x +Δy·y = Δx·h +Δy·k
7x -2y = 7(2) -2(4)
7x -2y = 6 . . . . . . . standard form equation for the perpendicular bisector
