School pennants cost $18 each. Ms.Lee says she will pay $146 for 7 pennants. Is her answer reasonable?
1 answer:
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Answer:
Slope:
Y-Intercept:
Step-by-step explanation:
1. To find the slope, we need to have the equation in slope-intercept form, which is . In this case, our equation is already in this form.
is what your slope is. In this case, our
2. To find the y-intercept we look at value that is in
. In this case,
is
. So, our ordered pair is
.
Answer:
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?
Width =
Height =
Width =√10 and Height
Step-by-step explanation:
Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)
are (h,k) and (-h,k).
Hence, the area of the rectangle will be (h + h) × k
Therefore, A = h²k ..... (2).
Now, from equation (1) we can write k = 5 - h² ....... (3)
So, from equation (2), we can write
For, A to be greatest ,
⇒
⇒
⇒
Therefore, from equation (3), k = 5 - h²
⇒
Hence,
Width = 2h =√10 and
Height =