I think you mean volume.
V=8
Answer:
B
Step-by-step explanation:
The point-slope form of the equation for a line can be written as
... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)
Your function gives
... f'(h) = m
... f(h) = k
a) The tangent line is then
... y = 5(x -2) +3
b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.
... y = (-1/5)(x -2) +3
_____
You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.
In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
Rewrite g(x) as x-1
------
4
and then substitute this result for x in f(x) = x^2 - 3x + 3:
f(g(x)) = (x-1)^2 / 4^2 - 3(x-1)/4 + 3.
At this point we can substitute the value 5 for x:
f(g(5)) = (5-1)^2 / 4^2 - 3(5-1)/4 + 3
= 16/16 - 3(4/4) + 3 = 1 - 3 + 3 = 1
Therefore, f(g(5)) = 1.
3. A square is a rhombus in which all the angles equal (to 90°).
4. 20 : 24 ratio that the ball picked wont be green
5. false
11. 15
12. half a chance (1/2)
13. 51
16. 9.79 × 10^-5
17. 4y = 29
18. b) 6.1
19. 80
20. x = -8/7
30. Area ≈ 7982.79
34. check the picture i attached for the histogram
THIS TOOK SO LONG