Answer:
x = -4
Step-by-step explanation:
4 = 2/3x - 5/3x
4 = -3/3x
4 = -x
-4 = x
A tilted or slanted cylinder has the same volume as its equivalent right cylinder, provided that
(a) the two bases of the tilted cylinder are parallel,
(b) the base areas of the tilted and right cylinders are equal,
(c) the vertical height of the right and tilted cylinders are equal.
This fact can be verified by slicing the tilted cylinder into thin, flat washers, as in integral calculus.
Because all 3 conditions are satisfied, the volume of the tilted cylinder is 450 cm³.
Answer: 430 cm³
3x+2y=22
3x-2y=2
we add these to equations together
6x=24
x=4
then we plug in x to find y
3*4+2y=22
12+2y=22
2y=10
y=5
solution is (4,5) (x=4 and y=5)
<h3>
Answer: 80 ounces</h3>
Work Shown:
1 pound = 16 ounces
5*(1 pound) = 5*(16 ounces)
5 pounds = 80 ounces
Answer:
-10x + y = 63
Step-by-step explanation:
Let's find the slope of this line. Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10). Thus, the slope, m, is m = rise / run = 10 / 1 = 10.
Using the point-slope version of the equation of a straight line, we get
y + 7 = 10(x + 7)
Performing the multiplication results in
y + 7 = 10x + 70.
Rearranging these terms in the form Ax + By = C, we get:
-10x + y = 63
Check this by substituting -6 for x and 3 for y:
-10(-6) + 3 = 63 This is TRUE
