Answer:
Step-by-step explanation:
The standard form of a parabola is
If we know the y intercept is (0, 400), that means that when x = 0, y = 400. That allows us to begin by finding c:
and c = 400.
Now to find a and b. Using the fact that the vertex is (1, 405), we know that h is 1 and k is 405. If
and h = 1, then
and
2a = -b so
b = -2a. Save that for a minute or two.
If
and k = 405, then
and
and
405 = 400 - 4a and
5 = -4a so
We will use that a value now to find the value of b. If b = -2a, then
and
Writing our parabolic equation now:
Finding the x-intercepts is just another way of saying "factor this quadratic" so we will begin that by setting the quadratic equal to 0:
and who hates all those fractions more than I do? Probably nobody, so we are going to get rid of them by multiplying everything by 4 to get
Assuming you can throw that into the quadratic formula to solve for the 2 values of x where y = 0, you'll find that the x-intercepts are
x = -16.91647287 and 18.91647287
Answer:
17.613
Step-by-step explanation:
hope this help and i hope you having a great day :)
Answer:
y=-6
Make sure to tell me if im right
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
The perimeter will also be halved: (1/2)(20) = 10.
Example: a rectangle of length 14 ft and width 8 ft has perimeter P = 2(14 ft) + 2(8 ft), or 28 ft + 16 ft = 44 ft.
If we halve the length and width, we get 7 ft and 4 ft, and the P is
2(7 ft) + 2(4 ft) = 14 ft + 8 ft = 22 ft, which is half of the original perimeter 44.
Answer:
87.5% are pennies
Step-by-step explanation:
7/8 = 87.5%
Hope this helps!!