A is the answer to your question
Answer:
A
Step-by-step explanation:
The dilation with the center of dilation at the origin and scale factor of 4 has the rule
(x,y)→(4x,4y).
Thus,
- A(-1,3)→A'(-4,12)
- B(2,1)→B'(8,4)
- C(-2,-1)→C'(-8,-4)
A'(-4,12) - option B
B'(8,4) - option C
C'(-8,-4) - option D
Assuming R and H:
So volume is pir^2 * H = 1500 and H = 1500/(pir^2) while surface area is A= 2pir*H + 2pir^2
A = 2pir(r+h)= 2piR^2 + 2pir*1500/(pir^2)= 2piR^2 + 3000/r
For A to take minimum, get the derivative 4pir - 3000/R^2 and let it be 0
4pir^3 - 3000 = 0
r = cbrt(3000/(4pi)) ≈ 6.20
h = 1500/(pi(6.20)^2) ≈ 12.42
Answer:
D
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x² - 4 - (x + 2) ← distribute parenthesis by - 1
= 3x² - 4 - x - 2 ← collect like terms
= 3x² - x - 6
Answer:
5x - y + 38 = 0
Step-by-step explanation:
solution:
slope(m) = 5
(x1 , y1) = (-8 , -2)
we know that,
(y - y1) = m(x -x1)
or, (y - -2) = 5(x - -8)
or, y+2 = 5(x + 8)
or, y+2 = 5x +40
or, 5x - y + 38 = 0 is the required equation
