keepcalmands8519 keepcalmands8519
  • 17-06-2020
  • Mathematics
contestada

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

A(2,-5)

C(-4,7)

Please help!!
Giving brainliest!

Respuesta :

joaobezerra joaobezerra
  • 21-06-2020

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).

Answer Link

Otras preguntas

Which of the following biomes are considered temperate biomes? a. deciduous forests and grasslands b. chaparral and tundra c. rainforest and tundra d. alpin
What can a doctor use to determine a patient's body fat percentage?
The senate refusing to ratify a treaty the president vetoing a law, and the senate rejecting the nomination of a supreme court justice are all examples of? A. r
The Spirit of the Laws. When did he write this and why? What was his purpose? What was happening at the time that can provide insight into the motivations and
Which statement about color theory is true?
The______ occupies the energy levels of an atom.
what is scarce resources
How many electrons would be found in an isotope of silicon 29
Complete the standard form of the equation, given the formula, –4y = 3 – 2x. x + y = 3
what is the defenition of lithosphere