The answer to this is B. y=-x-5.
Answer:
r = 5
Step-by-step explanation:
To solve for r, plug in the change in x values and change in y values, since the hypotenuse is simply the diagonal of both the y-coordinate and x-coordinates shown via drawing legs on the vertical and horizontal axis. So, since (0,0) is the initial point, r = sqr[(-4-0)^2 + (-3-0)^2 = sqr(16 + 9) = 5.
Now, the angle theta is the angle in which the sine, cosine, and tangent ratios are found. Simply use opposite over hypotenuse for sine, adjacent over hypotenuse for cosine, and opposite over adjacent for tangent using theta as the angle in which these values are obtained.
She has run 21 miles already. Let t be the number of additional miles added on.
In total, she has run t+21 miles
This is going to be set greater than 38 since "Ann will run more than 38 miles"
So we have this inequality
t+21 > 38
we solve for t by subtracting 21 from both sides
t+21 > 38
t+21-21 > 38-21
t+0 > 17
t > 17
The final answer is t > 17
which means that the possible additional number of miles she could run is anything larger than 17. So t = 18 is one possibility.
Answer:
Marie ran at a faster rate. It takes 27 minutes for Lisa to run 15 laps while it takes Marie 26.25 minutes to run 15 laps.
Step-by-step explanation:
18 ÷ 10 = 1.8 (Lisa's rate)
14 ÷ 8 = 1.75 (Marie's rate)
1.8 x 15 = 27 minutes (How long it takes for Lisa to run 15 laps)
1.75 x 15 = 26.25 (How long it takes for Marie to run 15 laps)
Answer:
Step-by-step explanation:
Neptune is about 2,700,000,000 miles from Earth.
Mercury is about 135,000,000 miles from Earth.
A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. The power is the number of decimal places you move.
1) 2,700,000,000 = 2.7 x
135,000,000 = 1.35 x
2)
You can see there is only one extra 0 on top, the rest will cancel so you have:
It's 20x farther to Neptune from Earth, than it is to Mercury from Earth.