#43 is 3 Slices because 12 divided by 4=3
#44 lets work out a bit more. She Practiced 4 hours and 30 minutes each week. There are typically 4 weeks in a month, so we multiply 4 times 4 which is 16. But this isn't our answer because we have the extra half hour. We multiply the half hours times 4, and we have and extra 2 hours on our hands. So this means she Practiced 18 hours each month.
#46 First, You convert everything to inches.
2' 8'=24+8=32 inches.
Divide that 32 in half, and you get 16. 16 inches=16 times 12 =192.
192 over 32 =6.
So in total, 6 boards is your answer :)
The slope that goes through those points is 1/9.
Answer:
y = -3/4(x - 6)^2 + 3
Step-by-step explanation:
y = ax^2 + bx + c
(4, 0)
16a + 4b + c = 0 Eq. 1
(8, 0)
64a + 8b + c = 0 Eq. 2
(6, 3)
36a + 6b + c = 3 Eq. 3
We have a system of three equations in three variables.
Eq. 2 - Eq. 1
48a + 4b = 0 Eq. 4
Eq. 2 - Eq. 3
28a + 2b = -3 Eq. 5
Eq. 4 - 2 * Eq. 5
-8a = 6
a = -6/8
a = -3/4
48a + 4b = 0
48(-3/4) + 4b = 0
4b = 36
b = 9
16a + 4b + c = 0
16(-3/4) + 4(9) + c = 0
-12 + 36 + c = 0
c = -24
The equation of the parabola is
y = -3/4 x^2 + 9x - 24
y = -3/4(x^2 - 12x + 32)
y = -3/4(x^2 - 12x + 36) + (-3/4)32 - (-3/4)(36)
y = -3/4(x^2 - 12x + 36) -24 + 27
y = -3/4(x - 6)^2 + 3
Answer:
the center is (-2,6)
the radius is 6
Step-by-step explanation:
you would have to get this equation in standard form (x-h)^2 + (y-k)^2 = r^2