Answer: 2.7 hours
Step-by-step explanation:
3 x 54 = 162, 162 is how many miles the drive is. If he is going 60 mph you have to divide 162/60 and you get 2.7 hours
B because each x-value is different not coordinating with the same y-value.
The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)
Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1
We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a
Now we know the equation is
.. y = -(x -2)^2 +1
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If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3
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An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above
<span>P(5,7) and Q( -1, + 7)
</span>
slope = (7 - 7)/(5+1) = 0/6 = 0
slope = 0
Answer:
width= 27 ft, length=78 ft
Step-by-step explanation:
P=2l+2w
210=2l+2w
Divide by 2
105=l+w
l=5w-57
Substitute for l
105=6w-57
6w=162
w=27
l=5(27)-57
=135-27
l=78
