Answer:
see explanation
Step-by-step explanation:
2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord.
6
BE × ED = AE × CE , that is
10 × 3x = 12(2x + 1) ← distribute parenthesis by 12
30x = 24x + 12 ( subtract 24x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
then
ED = 3X = 3(2) = 6
7
RJ × JP = SJ × JQ , that is
6 × 3x = 4(4x + 1) ← distribute parenthesis by 4
18x = 16x + 4 ( subtract 16x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
then
RP = RJ + JP = 6 + 3x = 6 + 3(2) = 6 + 6 = 12
Answer:
I inserted your equation into desmos calculator
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The coordinates of B are (14, -10).
<h3>How to find mid point?</h3>
The midpoint is already know . we can use it to find the coordinates of B.
Therefore,
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Hence,
M(5, - 4) and A(-4, 2)
The coordinates of B are as follows:
(5, - 4) = (-4 + x₂ / 2 , 2 + y₂ / 2)
5 = -4 + x₂ / 2
10 = -4 + x₂
x₂ = 14
hence,
-4 = 2 + y₂ / 2
-8 = 2 + y₂
y₂ = - 10
Therefore, the coordinates of B are (14, -10)
Learn more about midpoint here: brainly.com/question/25377004
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Step-by-step explanation:
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