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3 years ago

9

Pls click the screnshot

1 answer:

Morgarella [4.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

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A, b, and c are collinear, and B is between a and c. The ratio of AB to AC is 1:2. If A is at (7,-1) and B is at (2,1) what are

Nutka1998 [239]

Answer:

C(-3,3)

Step-by-step explanation:

Given

A = (7,-1)

B = (2,1)

AB:AC = 1:2

Required

Determine the coordinates of C

Since, B is between A and C; we need to determine ratio BC as follows;

$AB:AC = 1:2$

Convert to division

$\frac{AB}{AC} = \frac{1}{2}$

<em>AC = AB + BC;</em>

$\frac{AB}{AB + BC} = \frac{1}{2}$

Cross Multiply

$2 * AB = 1 * (AB + BC)$

$2 AB = AB + BC$

$2AB - AB = BC$

$AB = BC$

Divide both sides by BC

$\frac{AB}{BC} = 1$

Rewrite as

$\frac{AB}{BC} = \frac{1}{1}$

Write as ratio

$AB:BC = 1:1$

Next is to determine the coordinates of C as follows;

Because B is between both points. we have:

$B(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})$

Where

$m:n = AB:BC = 1:1$

$B(x,y) = B(2,1)$

$A(x_1,y_1) = A(7,-1)$

So; we're solving for x2 and y2

$B(2,1) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})$

Where

Solving for x2;

$x = \frac{mx_2 + nx_1}{m+n}$

$2 = \frac{1 * x_2 + 1 * 7}{1+1}$

$2 = \frac{x_2 + 7}{2}$

Cross Multiply

$2 * 2 = x_2 + 7$

$4 = x_2 + 7$

$x_2 = 4 - 7$

$x_2 = -3$

Solving for y2;

$y = \frac{my_2 + ny_1}{m+n}$

$1 = \frac{1 * y_2 + 1 * -1}{1+1}$

$1 = \frac{y_2- 1}{2}$

Cross Multiply

$2 * 1 = y_2 - 1$

$2 = y_2 - 1$

$y_2 = 2 + 1$

$y_2 = 3$

<em>Hence, the coordinates of C are: C(-3,3)</em>

4 0

4 years ago

4/5 , 0.66 , 0.86 , 84% least to greatest

faust18 [17]

Answer:

.66, 4/5, 84%, .86

Step-by-step explanation:

.66 is already in decimal form.

4/5 converted to decimal form is .8

84% in decimal form is .84

.86 is already in decimal form

5 0

4 years ago

Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper, how many apples does Phoebe have?

CaHeK987 [17]

<span>Pru and Piper have apples is ratio 5:3 Let No. of apples with Pru = 5a and no. of apples with Piper = 3a and no. of apples with Phoebe = 4a 5a - 3a = 24 2a = 24 a=12 No. of apples with Phoebe = 4x12=48 Hence Phoebe has 48 apples.</span>

3 0

3 years ago

Jim walks 2 kilometers during each trip to school how many trips will Jim have to make in all to walk a total of 8 kilometers

denpristay [2]

Answer:

huibyhbyh

Step-by-step explanation:

4 0

3 years ago

You and a friend take pictures at a motocross event. Your camera can take 24 pictures in 3.75 seconds. Your friend's camera can

UkoKoshka [18]

Answer:

bro

Step-by-step explanation:

bro i have no idea

6 0

3 years ago