Please, in the future, post just one problem at a time.
Looking at Problem #1: The line intersects the y-axis at (0,-3) and intersects the x-axis at (1,-1). At least, this is what I see; your graph is small.
-3-[-1]
The slope of that line is then m = rise / run = ------------ = +2.
0 - 1
[change in y]
Slope = m = rise / run = --------------------
[change in x]
Answer:
(-4, -1)
Step-by-step explanation:
x = 4y
-4x - y = 17
Plug in 4y for x in the second equation:
-4(4y) - y = 17
Simplify. Remember to follow PEMDAS. Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.
First, multiply 4y with -4:
-4(4y) = -16y
-16y - y = 17
Simplify. Combine like terms:
-16y - y = 17
-17y = 17
Isolate the variable, y. Divide -17 from both sides:
(-17y)/-17 = (17)/-17
y = 17/-17
y = -1
Plug in -1 for y in the first equation:
x = 4y
x = 4(-1)
x = -4
x = -4, y = -1
Answer: (-4, -1)
~
Answer:
-2 and 2
Step-by-step explanation: just did the problem
Answer:
108 pi inches cubed
Step-by-step explanation:
The volume of a cylinder is base area times volume. Since we have our base area of 12 pi, and our height of 9, we have the are as 12* 9 = 108 pi inches cubed. Thus, the answer is D.
