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adoni [48]
3 years ago
6

Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1

Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0

Answer:

(-2, 3)

Step-by-step explanation:

The point B is:

B(x,y)

x

AB(A to B) is twice BC(B to C)

AB is 2 - x. BC is x - (-4) = x + 4.

So

2 - x = 2(x + 4)

2 - x = 2x + 8

3x = -6

x = -2

y

Same logic as above.

AB is -5 - y. BC is y - 7.

-5 - y = 2(y - 7)

-5 - y = 2y - 14

3y = 9

y = 3

The point is (-2, 3).

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Using the remainder theorem which quotient has a remainder of 20?
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Answer:

D

Step-by-step explanation:

When a polynomial f(x) is divided by (x - a) then remainder is f(a)

A

divided by (x + 4 ), then a = - 4

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C

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D

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= 3(16) - 5(8) + 10 + 2

= 48 - 40 + 12 = 20 ← Remainder of 20

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