Answer:
Step-by-step explanation:
1). Since you have -2y and 4y, elimination is easy to do for solving for x..
Keep the first equation and multiply the second equation by 2. Then add.
5x - 2y = -1
8x + 4y = 56
10x - 4y = -2
8x + 4y = 56
-----------------
18x = 54
x = 3
Now we can use substitution to solve for y.
Substitute 3 for x in the first original equation and solve for y.
5x - 2y = -1
5(3) - 2y = -1
15 - 2y = -1
-2y = -16
y = 8
(3, 8)
2.)
3x - y = =16
-4x - y = 21
Multiply both sides of the first equation by -1 to change all signs. Then when you add the equations, you eliminate y and solve for x.
-3x + y = 16
-4x - y = 21
-----------------
-7x = 37
x = -37/7
Now multiply the first original equation by 4 and the second original by 3 to eliminate x and solve for y.
12x - 4y = -64
-12x - 3y = 63
---------------------
-7y = -1
y = 1/7
Solution: (-37/7, 1/7)
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Volume of a cone: (1/3)πr²h
Data:
V=31.5 in³,
r=3 in
Then:
V=(1/3)πr²h
31.5 in³=(1/3)π(3 in)²h
<span>(1/3)π(3 in)²h=31.5 in</span>³
(1/3)π(9 in²)h=31.5 in³
3πin² h=31.5 in³
h=(31.5 in³) / (3π in²)
h≈3.34 in
answer: the height of the cone is 3.34 in.
Answer:
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Step-by-step explanation:
