Answer:
2.04 seconds
Step-by-step explanation:
Falling objects near the surface of the earth have an acceleration of -9.81 m/s².
Acceleration is the change in velocity over change in time:
a = (v − v₀) / t
-9.81 = (-30.0 − (-10.0)) / t
-9.81 = -20.0 / t
t = 2.04
It takes 2.04 seconds.
Answer:
-7
Step-by-step explanation:
Answer:
Which point would map onto itself after a reflection across the line y = -x? ... What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the ... A triangle has vertices at R(1, 1), S(-2, -4), and T(-3, -3). ... Which shows the image of quadrilateral ABCD after the transformation R0, 90°? a.
Step-by-step explanation:
Answer:
The desired equation is y = x + 8.
Step-by-step explanation:
As we move right from (-2,6) to (4,12), x increases by 6 and y also increases by 6. Thus, the slope, m, m = rise / run, is m = 6/6, or just m = 1.
Start with the slope intercept form y = mx + b. Since m = 1, we now have y = x + b. Subbing 4 for x, 12 for y, we can find b: 12 = 4 + b. Thus, b = 8.
The desired equation is y = x + 8.
Because

and

are inversely proportional, there is some constant

such that

Given that

and

, we have

So when

, you have