Question

help

Answer 1

Find the point C such that AC and BC form a 2:3 ratio.

(−1, 1.2)

(−0.6, 3)

(0, 2.4)

(0.5, 2)

Answer 2

I don't know

Answer 3

@ShailKumar

Answer 4

Tell me the coordinates of A and B

Answer 5

A (-3, 5) B (3, 0)

Answer 6

Good! Now, see the situation in the figure

Answer 7

we have to use the slope formula?

Answer 8

We want to find the coordinates of the point which divides AB in a ratio of m1:m2.

Answer 9

i don't understand

Answer 10

If the coordinates of this point be (x,y) then
\[x = \frac{ m _{1}x _{2} + m _{2} x _{1} }{ m _{1}+m _{2}}\]

Answer 11

And y = \[y = \frac{ m _{1}y _{2} + m _{2} y _{1} }{ m _{1}+m _{2}}\]

Answer 12

Now A (-3, 5) gives you x1 = -3 and y1 = 5;
B (3, 0) gives you x2 = 3 and y2 = 0
And m1:m2 is 2:3, so m1 = 2 and m2 = 3

Answer 13

Put these values in the formula and get the values of x and y.

Answer 14

@shinebrightlikeadimon Could you find x and y ?

Answer 15

let me see

Answer 16

y = 15 / 5?

Answer 17

Yes, y = 3

Answer 18

x = -0.6

Answer 19

is that correct?

Answer 20

Great! So the point C is (-0.6,3).

Answer 21

THANK YOU!

Answer 22

You are welcome :)

Answer 23

A quadrilateral PQRS is inscribed in a circle, as shown below:

What is the measure of arc PQR?

210° <--- my answer

255°

105°

75°

Answer 24

@ShailKumar

Answer 25

Correct!

Answer 26

thanks

Answer 27

Box A has a volume of 24 cubic meters. Box B is similar to Box A. To create Box B, Box A's dimensions were multiplied by four. What is the volume of Box B?

6 m3

1,536 m3

384 m3 <--- my answer

96 m3

Answer 28

No. This time you are wrong. :(

Answer 29

If the side of the cube A is s then its volume is s^3. Right ?

Answer 30

yes

Answer 31

i think

Answer 32

The side of the cube B is 4s, So it's volume should be (4s)^3 i.e 64 s^3. Right ?

Answer 33

whats i.e?

Answer 34

We are assuming that boxes are cubical. i.e stands for "that is"

Answer 35

ok

Answer 36

now what?

Answer 37

But s^3 is 24 cubic meters

Answer 38

So volume of B should be 64*s^3 = ??

Answer 39

so 64 x 24?

Answer 40

1536

Answer 41

Find the diameter of a cone that has a volume of 29.31 cubic inches and a height of 7 inches. Use 3.14 for pi.

4 inches <---- my answer

2 inches

8 inches

6 inches

Answer 42

How did you get that ?

Answer 43

how did i get 4 ?

Answer 44

Yes

Answer 45

V =1/3* pi * r^2 * h

Answer 46

Ok, I got it. Your answer is correct :)

Answer 47

29.31 = 1/3 * 3.14 * r^2 * 7
so 29.31 = 7.326 x r^2
29.32/7.326 = r^2
4 = r^2

Answer 48

and r = 2 but r is half the diameter so its 4

Answer 49

am i correct