All categories

2 years ago

Find the coordinates of the point 7/10 of the way from A to B

Mathematics

1 answer:

OverLord2011 [107]2 years ago

7 0

Answer:

(6.8, 1.3)

Step-by-step explanation:

Given:

A(-3, -5), B(11, 4)

Find:

P such that AP/AB = 7/10

Solution:

Using the desired relation, we have ...

(P -A)/(B -A) = 7/10

10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)

10P = 7B +3A . . . . . . . . add 10A to both sides

10P = 7(11, 4) +3(-3, -5) = (77 -9, 28 -15) = (68, 13)

P = (68, 13)/10 = (6.8, 1.3)

The point 7/10 of the way from A to B is (6.8, 1.3).

You might be interested in

the length of a rectangle is equal to triple the width . if the perimeter is 8 centimeters .what is the length and the width of

madam [21]

Answer:

Length = 3 cm

Width = 1 cm

Step-by-step explanation:

Let the length of rectangle be l and width of rectangle be w.

According to problem,

l = 3w {Length of rectangle is equal to triple the width}

And Perimeter,P = 8 cm

Since, P = 2 ( l + w )

or 8 = 2( l + w)

Plug l =3w in the above perimeter equation.

We get:

8 = 2( 3w + w)

8 = 2(4w)

8 = 8w

or w = 1 cm

Then length ,l = 3w =3 * 1 = 3 cm

Hence length of rectangle is 3cm and width of rectangle is 1cm.

3 0

3 years ago

Select the correct answer.

mr Goodwill [35]

I believe its c because that is the suitable answer

6 0

2 years ago

Instructions:Select the correct answer. What is the general form of the equation of the given circle with center A? x2 + y2 + 6x

forsale [732]

Its the third one hope this helps

8 0

3 years ago

Read 2 more answers

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from

Kryger [21]

Answer:

The expression would give the probability that one marble is yellow and the other marble is red is,

$P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)$

Step-by-step explanation:

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. So in total there are 25 marbles.

Hence,

Probability of getting yellow ball = $P(Y)=\dfrac{8}{25}$

Probability of getting red ball = $P(R)=\dfrac{5}{25}$

Probability that one marble is yellow and the other marble is red is,

$P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)=\dfrac{8}{25}\cdot \dfrac{5}{25}+\dfrac{5}{25}\cdot \dfrac{8}{25}=0.128$

8 0

3 years ago

Read 2 more answers

In a class full of men and women, 5/9 of the class are women. What is the ratio of men to women in its simplest form?

andrew-mc [135]

Answer:

4/5

Step-by-step explanation:

5x are women

9x are full class

9x - 5x = 4x

4x are men

$\frac{4x}{5x} = \frac{4}{5}$ is the ratio of men to women in its simplest form

Hope this helps ^-^

3 0

3 years ago