The speed of one car is 'S'. The speed of the other car is (S + 10).

In 5 hours, the first car travels (5S) miles, and the other car travels 5(S + 10) miles.

Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.

500 = (5S) + 5(S + 10)

500 = 5S + 5S + 50

500 = 10S + 50

Subtract 50 from each side:

450 = 10S

Divide each side by 10

S = <u>45</u>

S + 10 = <u>55</u>

5 0

3 years ago

Use 1/2ab sin C formula pls

Harman [31]

Step-by-step explanation:

$area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units$

3 0

3 years ago

Which parent functions go through the origin? Select all that apply.

Dvinal [7]

It also goes from linear too, I don’t know what else sorry

3 0

3 years ago

Read 2 more answers

If the slope of the line is -4, find y when (2,y) and (3,8).

charle [14.2K]

Answer:

y=12

Step-by-step explanation:

8=-4*3 +b

8=-12=b

20=b

y=-4x=20

-4*2 is -8+20 is 12

(2,12)

8 0

3 years ago