Step-by-step explanation:
(X1,Y1) = (-2,2)
(X2,Y2) = (0,1)
• Find slope.
m = (Y2 - Y1)/(X2 - X1)
m = (1 - 2)/(0 - (-2))
m = -1/2
The answer is C.
Answer:
$24
Step-by-step explanation:
1/4x + 1/3x + 8 = 22
1/4x + 1/3x = 7/12x
7/12x + 8 = 22
22 - 8 = 14
7/12x = 14
14/ 7/12
x = 24
1) -3(5x+2y=-3)⇒ -15x-6y=9
⇒ -9x=27
2(3x+3y=9)⇒ 6x+6y=18
2) -9x/-9=27/-9 ⇒ x=-3
3) 3(-3)+3y=9⇒ -9+9+3y=9+9⇒ 3y/3=18/3⇒ y=6
Answer: (-3,6)
Reasoning:
Step 1) In order to eliminate, first I had to multiple the first equation by -3 and the second by 2 so that when combining the equations y would cancel each other out so that I could solve for x. <em>Note: There are many combinations as to how you could multiple the equations so that either the x or y would cancel out.
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Step 2) Once y is eliminated, solve for x.
Step 3) Now plug x back into one of the original equations and solve for y. <em>Note: Plug x back into one of the original equations, not the equations that were changed by multiplication,</em>
No, no value for x will result in you getting the same amount of money
I.e. on the first day if x =2 you earn 33. on the second day you would've earned 44. Of course this may be wrong so best to double check
The volume of a cylinder is
(pi) (radius²) (height) .
Radius = 1/2 diameter.
Radius of this pool = (1/2) (18 ft) = 9 ft
The pool is a cylinder with height of 4.5 feet.
The water in it is also a cylinder, but only 4 ft high.
Volume of the water =
(pi) x (radius²) x (height)
= (pi) x (9 ft)² x (4 ft)
= (pi) x (81 ft²) x (4 ft)
= (pi) x (324 ft³) = 1,017.9 ft³ .