Answer:
4) M=5
Step-by-step explanation:
When multiplying exponents, you add them. When raising an exponent to another power, you multiply them.
(x^5*x²)³=(x^7)³=x^21
Answer:
Step-by-step explanation:
Let
x ------> the number of dogs Larry walked
y -----> the number of dogs Kyle walked
we know that
The linear equation that represent this scenario is equal to
Answer:
points A, B and D are all in the same plane but not all are on the same line
Step-by-step explanation:
points A, C, D are all collinear which means they must also be coplanar
|DF| = |DE| + |EF|
|DF| = 9x -36
|DE| = 47
|EF| = 3x+10
Substitute:
9x - 39 = 47 + 3x + 10
9x - 39 = 3x + 57 |+39
9x = 3x + 96 |-3x
6x = 96 |:6
x = 16
Put the value of x to the equation |EF| = 3x + 10
|EF| = (3)(16) + 10 = 48 + 10 = 58
Answer: |EF| = 58
9514 1404 393
Answer:
68.6 m/s
Step-by-step explanation:
The speed at a given time is the derivative of the height at that time.
dh/dt = -9.8t
At t=7, the speed is ...
-9.8(7) = -68.6 . . . . . meters per second (downward)
The speed is 68.6 meters per second.
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<em>Additional comment</em>
Height is considered to be positive in the up direction, so velocity and acceleration are also positive in the up direction. The derivative of height will be the velocity. Its negative sign in this case indicates the object is moving in the downward direction. The speed is the magnitude (absolute value) of the velocity.
