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diyagawande
16.10.2021 •
Mathematics
What are the coordinates of the point on the directed line segment from (1, -6) to (8, 8) that partitions the segment into a ratio of 4 to 3?
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Ответ:
9514 1404 393
(5, 2)
Step-by-step explanation:
Line segment AB is partitioned by point P into segments of the ratio m : n when point P satisfies ...
P = (mB +nA)/(m+n)
Here we want ...
P = (4(8, 8) +3(1, -6))/(4 +3) = (32 +3, 32 -18)/7 = (35/7, 14/7)
P = (5, 2)
The point (5, 2) partitions the segment into a ratio of 4 : 3.
Ответ:
x = 114
Step-by-step explanation:
Remark
You are trying to figure out what the arc is in degrees. The arc formula is
Intersect angle = 1/2( the furthest arc - the smaller closer arc).
Givens
Intersect angle = 66 degrees
Closer arc = x
Further or largest Arc = 246
Solution
66 = 1/2 (246 - x) Multiply both sides by 2 and remove the brackets.
132 = 246 - x Subtract 246 from both sides.
132 - 246 = - x
- 114 = - x Multiply both sides by -1
-1 (-114) = -1 * (-x)
x = 114