A rectangular lawn is 65 m long and 34 m wide. Over time, people have walked along a diagonal as a shortcut and have created a s
2 answers:
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The coordinates of B are (3, -8). Where the line-segment AB has the midpoint at M with coordinates (2, -1).
<h3>How to calculate the midpoint?</h3>The midpoint on a line segment with two endpoints (x1, y1) and (x2, y2) is
Midpoint (x, y) = (,
)
The given line segment is AB with coordinates A(1, 6) and B(x2, y2).
M is the midpoint of line segment AB. Its coordinates are M(2, -1)
Then, the coordinates of B are calculated by
M(x, y) = (,
)
(2, -1) = (,
)
In comparing both sides,
2 = (1 + x2)/2 and -1 = (6 + y2)/2
On simplifying,
2 = (1 + x2)/2
⇒ 4 = (1 + x2)
⇒ 1 + x2 = 4
⇒ x2 = 4 - 1
∴ x2 = 3
-1 = (6 + y2)/2
⇒ 6 + y2 = -2
⇒ y2 = -2 - 6
∴ y2 = -8
Thus, the coordinates of the required point are B(3, -8).
Learn more about calculating the midpoint here:
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Answer:
D
Step-by-step explanation:
When you are raising something to a fractional power, you are raising it to the power of the numerator and finding the root denoted by the denominator. The explanation above is kinda confusing, so here is an example:
x^(3/5)
This would be written as:
Now for the actual problem. Since the numerator is 4, we start by raising x to the 4th power, x^4.
Because the denominator is 5, we find the 5th root:
This matches none of the answers shown, so the answer is none of the above or D.
Answer:
16,537
Step-by-step explanation:
Total Number of Volunteers in the US = 63,361
The pie chart for the question has been reproduced and attached below.
From the pie chart
Percentage of people who volunteered in the educational capacity = 26.1 %
Therefore, the number of people that volunteered in the educational capacity
=26.1% of 63,361
=0.261 X 63,361
=16,537 (to the nearest whole number)
