Step-by-step explanation:
The vertex form of a parabola can be written as

where (h, k) are the coordinates of the parabola's vertex. The vertices of the functions are as follows:
a) (3, 5)
b) (-7, 3)
c) (4, 0)
d) (0, -1)
e) (-1, -5)
f) (-1, -5)
Answer:
192000 J
Step-by-step explanation:
k = 1/2 mv²
48000 = 1/2 x m x (20)²
48000 = 200m
m = 240 kg
new k
k = 1/2 x 240 x 40²
k = 192000 J
Answer c: 2 and 3
Of course Q is on plane PQR. If S is as well, then QS is as well.
Answer: option d.
Step-by-step explanation:
If <em>y </em>varies directly as <em>x</em> and <em>z</em>, the form of the equation is:

Where<em> k</em> is the constant of variation.
If y=4 when x=6 and z=1 then substitute these values into the expression and solve for <em>k:</em>

<em> </em>Substitute the value of <em>k</em> into the expression. Then, the equation is:

To find the value of <em>y </em>when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:


<em> </em>
Answer:
B.
Step-by-step explanation:
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