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:
Gold
Step-by-step explanation:
Just google it... but yeah you're welcome
Answer:
50°
Step-by-step explanation:
From the question, m<R=110°, m<S=100°
Besides,m<S=m<U=100°
The interior angles of a kite add up to 360°
This implies,
m<U+m<S+m<R+m<T=360°
This implies,
100+100+110+m<T=360
This implies,
m<T+310=360
This implies,
m<T=360-310=50°
20 mins means the hand moves 120 degrees around the clock.
The formula to find the arc length is 2pi×r×a/360
2×pi×15×1/3=30pi×1/3=10pi
so i think the answer would be 10 pi cm