Answer:
D. 
Step-by-step explanation:
The point-slope form of a line is given by:
The line given to us has equation; 
.
The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.
Our slope of interest is therefore; 
Since the point goes through (-2,7), we have 
.
We plug in the slope and the point into the point-slope formula to obain;
The required equation is:
Answer:
(f o g) (x) = 36x² + 3
(g o f) (x) = 6x² + 18
Step-by-step explanation:
f(x) is x² + 3
g(x) is 6x
(f o g) (x) means for all xs in f replace it with g(x) or 6x
(f o g) (x) = (6x)² + 3 - see 6x is in place of x and 6x is g(x)
(f o g) (x) = 36x² + 3
(g o f) (x) = 6(x² + 3)
(g o f) (x) = 6x² + 18
Answer:
x>1
Step-by-step explanation:
move the constant to the right side and change its sign 7x>10-3
Then subtract the numbers 7x>7
Then divide the inequality by 7 from for both sides.
x>1
First, solve for the volume of each cube through the equation,
V = e³
Substituting the known value,
V = (13 in)³ = 2197 in³
Then, multiply this volume by the number of cubes. Thus, the total volume of the prism,
V = (2197 in³)(3996)
V = 8,779,212 in³
21+45+70=136
136+(2+x)=180
First subtract 136 from both sides
(2+x)=44=M<ROS
Subtract 2 from both sides
x=42
