Answer:
units
Step-by-step explanation:
The median is the line segment connecting the vertex with the midpoint of the opposite side.
<u>The midpoint has coordinates:</u>
- x = (-3 + 5)/2 = 2/2 = 1
- y = (3 + 1)/2 = 4/2 = 2
<u>Use the distance formula to find the distance between points (2, 7) and (1, 2):</u>
- <u />
Answer:
(fog)(a) = a³ - 3a² + 4a - 2
= (a - 1)×(a² - 2a + 2)
Step-by-step explanation:
<u><em>Given</em></u> :
g(a) = a -1
f(a)= a³ +a
…………………………
(fog)(a) = f(g(a)))
= g(a)³ + g(a)
= (a - 1)³ + (a - 1)
= (a³ - 3a² + 3a - 1) + (a - 1)
= a³ - 3a² + 3a - 1 + a - 1
= a³ - 3a² + 3a + a - 1 - 1
= a³ - 3a² + 4a - 2
<u><em>Second method</em></u> :
(fog)(a) = f(g(a)))
= f(a - 1)
= (a - 1)³ + (a - 1)
= (a - 1)×[(a - 1)² + 1]
= (a - 1)×[a² - 2a + 1 + 1]
= (a - 1)×(a² - 2a + 2)
Answer:
3) 11x+3
4) 8x³+2x²+2x+8
Step-by-step explanation:
Answer:
As shown in picture,
volume of cone V = base area x height x (1/3) = pi x (4/2)^2 x 6 x (1/3) = 8 x pi
volume of cup V = base area x height = pi x (3/2)^2 x 3 = 6.75 x pi
(all the volumes are in cubic inches)
A - Incorrect
24 pack of cups: V = 24 x 6.75 x pi = 162 x pi
21 pack of cones: V = 21 x 8 x pi = 168 x pi
162 x pi < 168 x pi
B - Correct
12 pack of cups: V = 12 x 6.75 x pi = 254.5 > 250
C - Correct
14 pack of cones: V = 14 x 8 x pi =351.9 > 350
D - Correct
Volume of cylinder 8 tall, 6 wide: V = pi x (6/2)^2 x 8 = 72 x pi
12 pack of cups: V = 12 x 6.75 x pi = 80.4 x pi > 72 x pi
Hope this helps!
:)
