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3 years ago

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)

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

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

2 - x = 2(x + 4)

2 - x = 2x + 8

3x = -6

x = -2

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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Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip. How much did they get altogether?

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$\boxed{ \mathfrak { question↷}}$

Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip. How much did they get altogether?

$\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}$

$\boxed{ \mathfrak { solution↷}}$

Let Pip get be x and fiona get be x+35

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$\tt \frac{x + 35}{x } = 6$

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