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3 years ago

If B is a point on AC and AB:BC = 1:2, what are the coordinates of B?

Mathematics

2 answers:

AlexFokin [52]3 years ago

7 0

-1/2 left and down 4

So it's #2

tatiyna3 years ago

3 0

We have to use the segment formula which is

$( \frac{mx_{2} + n x_{1} }{m+n}, \frac{my_{2} + n y_{1} }{m+n})$

Where m :n is the ratio.

Using this formula, we will get

$( \frac{1*4 +2(-5)}{1+2} , \frac{1(-10)+2*2}{1+2})$

And on simplifying , we will get

$( \frac{4-10}{3} , \frac{-10+4}{3}) = (-2,-2)$

Therefore the correct option is 1 .

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Please find the what x equals 1) x/6=3/9 2) 9/12=x/8 3) 3/9=x/12 4) x/12=6/8

pychu [463]

$1)\\\dfrac{x}{6}=\dfrac{\not3^1}{\not9_3}\\\\\dfrac{x}{6}=\dfrac{1}{3}\qquad\text{multiply both sides by 6}\\\\x=\dfrac{1}{\not3_1}\cdot\not6^2\\\\\boxed{x=2}\\\\2)\\\dfrac{x}{8}=\dfrac{\not9^3}{12\!\!\!\!\!\diagup_4}\\\\\dfrac{x}{8}=\dfrac{3}{4}\qquad\text{multiply both sides by 8}\\\\x=\dfrac{3}{\not4_1}\cdot\not8^2}\\\\x=3\cdot2\\\\\boxed{x=6}$

$3)\\\dfrac{x}{12}=\dfrac{\not3^1}{\not9_3}\\\\\dfrac{x}{12}=\dfrac{1}{3}\qquad\text{multiply both sides by 12}\\\\x=\dfrac{1}{\not3_1}\cdot12\!\!\!\!\!\diagup_4\\\\\boxed{x=4}\\\\4)\\\dfrac{x}{12}=\dfrac{\not6^3}{\not8_4}\\\\\dfrac{x}{12}=\dfrac{3}{4}\qquad\text{multiply both sides by 12}\\\\x=\dfrac{3}{\not4_1}\cdot12\!\!\!\!\!\diagup_3\\\\x=3\cdot3\\\\\boxed{x=9}$

8 0

3 years ago

Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y =

sergejj [24]

Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job, $9.00 compared to $8.75

What is the hourly rate of Jason from the lifeguard job?

The hourly rate of the lifeguard job can determined as the total amount earned divided by the total of number of hours worked

hourly rate=($52.50+$70.00+$43.75)/(6+8+5)

hourly rate=$8.75

The lifeguard job when compared to the camp counselor for the summer job pays lesser hourly rate of $8.75 as against $9.00 per hour from latter job, hence, Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.

Find out about hourly rate comparison on:brainly.com/question/8575731

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1 year ago

⚠️NEED HELP ASPA⚠️ Determine whether each pair of triangles is similar. Justify your answer.

bekas [8.4K]

So the answer is A. The way to check if triangles are similar is find the ratio and make sure they are equal.
For example if you divide 42 by 27 you get 1.55
And if you do that to all the sides you also get 1.55 so therefore they are similar

7 0

3 years ago

The total of 26, 78, 198, 475 and 620 is

MissTica

The answer is 1,397

26+78+198+475+620=1,397

8 0

4 years ago

Read 2 more answers

Each side of a regular pentagon is m+10 inches. The formula for finding the perimeter of the pentagon is shown below.

stiv31 [10]

Answer:

5m+50