Answer:
parallel:

perpendicular:

Step-by-step explanation:
original line:
-7x + 8y = 4
m = 7/8
parallel:
m = 7/8
L: 7x - 8y = k
(4, -4) -> L
28 + 32 = 60 = k
L: 7x - 8y = 60
perpendicular:
m = -8/7
L: -8x + 7y = k
(4, -4) -> L
-32 + 28 = -4 = k
L: -8x -7y = -4
=> 8x + 7y = 4
Answer:
625
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The squares with 2, 6, 4, 3 will be all the left, front, right, back sides. The 1 and 5 will flap up/down to be the top and bottom. So 1 and 5 will be opposite from each other.
Answer:
Step-by-step explanation:
3x^2 * 2x^3= 6x^5
Multiply the 3 and 2 to get 6. Add the exponents.
Answer:
The function of height has a maximum value.
Step-by-step explanation:
Maximum or Minimum:
A given function f(x).
- Find out f'(x) and f''(x)
- Then set f'(x)=0 which gives x=a.
- f''(a) > 0 , then at x=a , f(x) has minimum value.
- If f''(a)<0 , then at x=a, f(x) has maximum value.
Given that, a baseball is thrown with with an velocity of 32 feet per second.
The equation of height is

Differentiating with respect to t

Again differentiating with respect to t

Next, we set h'=0



Now 
Since at t=1, h''<0.
The function of height has a maximum value.
The maximum of h is = -16.(1)²+32
= -16+32
=16 feet