the list S describes all possible outcomes of the event.
the fourth option
two will get choosen, and the order matters.
Answer:
Subtract 8x8x from both sides of the equation.
y=32−8x
The formula to solve for this would be pi(r^2)xheight. Essentially what this formula does is it takes the are of the base (pi x r^2) and multiplies it by the height of the cylinder to find how many times the base can stack on itself until it reaches the top. This formula of base are times height works for all prisms with two bases. Here are the steps to solve:
1) plug in the values
- pi(15^2) x 45
2) solve for the base area of one of the circles
- pi(15^2)=225pi
3) multiply the base area by the height
- 225pi x 45 = 10,125pi
4) final answer: the tank can hold 10,125pi cubic feet of water
Answer:
y = -2x - 4
Step-by-step explanation:
So we have the x intercept and a line perpendicular to the one we are trying to find.
Perpendicular deals with the slope. Perpendicular slopes are negative reciprocals of each other, or in other words, if the slope is m the negative reciprocal is -1/m.
the slope of the perpendicular line is 1/2 so that means the negative reciprocal is -2.
x intercept is when y=0, so the point is (-2, 0). So that means the equation to make this point with the slope of -2 will look like this
y = mx + b
0 = -2*-2 + b
-4 = b
Now to get into the line we just plug in m and b into y = mx + b
y = mx + b
y = -2x - 4
And to check if you plug in -4 you'll get y = 0
