PLEASE ANWSER ASAPPPPLL I NEED IT QUICK PLS SHAWTY

Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D

polet [3.4K]

Given:
A has coordinates (-6,5)
C has coordinates (3.6,-0.4).
C divides AB in the ratio 3:2.

Refer to the diagram shown below.
The coordinates of B are determined by
$\frac{3.6-(-6)}{x-(-6)} = \frac{3}{3+2} \\ \frac{9.6}{x+6} = \frac{3}{5} \\ 3(x+6) = 48 \\ 3x +18=48 \\ x=30/3=10$
Also,
$\frac{5-(-0.4)}{5-y} = \frac{3}{5} \\ 3(5-y) = 27 \\ 15-3y=27 \\ y= \frac{12}{-3} =-4$

Answer:
The coordinates of B are (10,-4).

Now, we know the coordinates of line segment AB as A (-6, 5) and B (10,-4).
D (x,y) divides AB in the ratio 4:5.
Therefore
$\frac{x-(-6)}{10-(-6)} = \frac{4}{4+5} \\ \frac{x+6}{16} = \frac{4}{9} \\ 9(x+6)=64 \\ 9x+54=64 \\ x=1.11$
Also,
$\frac{5-y}{5-(-4)} = \frac{4}{9} \\ 5-y = 4 \\ y = 1$

Answer:
The coordinates of D are (1.11, 1)

4 0

3 years ago

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Hi hi. I have a legit question now.

pochemuha

Answer:

A. 25.14%

B. 0.99%

C. 100%

D. 86.07%

Step-by-step explanation:

μ = 52, σ = 3

Each problem gives you an x value and asks you to find a probability. First calculate the z score(s), then look up in a table or use a calculator.

z = (x − μ) / σ

A. Find P(x < 50)

z = (50 − 52) / 3

z = -0.67

P(z < -0.67) = 0.2514

B. Find P(x > 59)

z = (59 − 52) / 3

z = 2.33

P(z > 2.33) = 1 − 0.9901 = 0.0099

C. Find P(x > 40)

z = (40 − 52) / 3

z = -4

P(z > -4) = 1 − 0 = 1

D. Find P(48 < x < 57)

z₁ = (48 − 52) / 3

z₁ = -1.33

z₂ = (57 − 52) / 3

z₂ = 1.67

P(-1.33 < z < 1.67) = 0.9525 − 0.0918 = 0.8607

I used a z score table. For more accurate answers, use a calculator.

8 0

3 years ago

If bill gates gave everyone in the world his money EQUALLY how much would each person have?

Naddik [55]

Answer:

It's five hundred thousand each. 

Step-by-step explanation:

<h3>This is for everyone in the United states so everyone would get five hundred thousand ultimately ending poverty. But The only way top end out is for them to end poverty is people get a job and house and decent car. </h3>

Plz give Brainliest!!!

3 0

3 years ago

Please explain your steps when solving the equation: -3b + 6 = 18

r-ruslan [8.4K]

Answer:

b=-4

Step-by-step explanation:

-3b+6=18

-3b=12 (subtracted 6 from both sides)

b=-4 (divided both sides by -3)

6 0

2 years ago

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Please help a__ b__ c__

fomenos

Answer:

a) 4 quarts of sparkling water

b) 38.5 quarts of grape juice

c) 80 quarts of sparkling water and 20 quarts of grape juice

The answers for the letters in the chart are on the bottom for b and c.

Step-by-step explanation:

a) You would need 4 quarts of sparkling water for 1 quart of grape juice.

This proportion is to get the amount of grape juice you need you multiply the amount of sparkling water by .25 to get the amount of grape juice you need.

So for a) I know that .25 of a quart of grape juice is equal to 1 quart of sparkling water. So to get the amount of sparkling water multiply the amount of grape juice you need by .25. And the number you multiplied .25 will be the amount of sparkling water you need. Example: 4 × .25 = 1 quart of grape juice.

4 is the amount of sparkling water you need.

b) For b you just need to multiply the amount of sparkling water by .25 to get the amount of grape juice you need.

154 × .25 = 38.5

You need 38.5 quarts of grape juice.

c) You would need 80 quarts of sparkling water and 20 quarts of grape juice.

80 × .25 = 20

b on the graph is 38.5 because 154 × .25 = 38.5

c on the graph is 400 because .25 × 400 = 100

HOpe this helps ya!!

7 0

3 years ago

Read 2 more answers