Answer:
Adam
Step-by-step explanation:
Speed is calculated with the formula distance over time.
Convert all measurements to the same unit: ft/s.
<u>Speed of Frank:</u>
d/t
=11/s
<u>Speed of Emily:</u>
d/t
=86/10
=8.6/s
<u>Speed of Adam: </u>
There are 5280 feet in a mile.
d/t
=5280/388
=13.6/s
<u>Speed of Noah:</u>
There are 60 seconds in a minute.
d/t
=600/60
=10/s
Adam runs the fastest because 13.6 > 11 > 10 > 8.6.
Answer:
its 12 juss round 12
Step-by-step explanation:
Reflecting the point (x, y) over the x-axis transforms it to the point (x, -y). Then the points (x, f(x)) on the graph of f(x) will be transformed to (x, -f(x)) when the graph is reflected over the x-axis.
The reflection of the function f(x) = |x| is -f(x) = -|x|. If we name the reflected function f(x), we have
f(x) = -|x|
The "dot product" of two vectors has several different formulas.
Since you are given the x- and y-coordinates of both vectors a and b, we can apply the formula
a dot b = ax*bx + ay*by, where ax=x-component of vector a, by=y comp of vector b, and so on.
So, for the problem at hand, ax * bx + ay * by becomes
3(-2) + (-8)(-6) = -6 + 48 = 42 (answer). Note that the dot product (or "scalar product" is itself a scalar.
3 times as much as 40
40 x 3
40 + 40 + 40
40
40
40
----
120
120 is the answer
