Answer:
(-3,3)
Step-by-step explanation:
x² + y² = 18
y = x + 6
(Assuming you mean x and y to the power of 2. Use the ^ symbol to tell that is it an exponent like this: x^2)
First, substitute the y in the first equation
x² + (x + 6)² = 18
FOIL
x² + x² + 12x + 36 = 18
2x² + 12x + 36 = 18
Subtract 18 from both sides
2x² + 12x + 36 = 18
- 18 - 18
2x² + 12x + 18 = 0
Divide both sides by 2
(2x² + 12x + 18)/2 = 0/2
x² + 6x + 9 = 0
Factor
(x + 3)(x + 3) = 0
x has to be -3 for the equation to be 0, so the x = -3
Plug the new x into one of the original equations; we'll use the second one
y = -3 + 6
y = 3
A.) 135 miles in 3 hours = 45 miles per hr
B.) 22 miles in 1 hour= 22 miles per hr
C.) 7.5 miles in 1/4 hour = 30 miles per hr
D.) 100/3 in 2/3 hour = About 49.9 mph
E.) 97.5 in 1.5 hours = 65 miles per hr
5 times a number decreased by thirteen. Not sure if there should be the =12, so I didn't include it in the verbal description. Hope it helps!
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the options to select the required condition from were not listed. So, I will answer on general terms
From the question, we understand that the cube has an open-top and the surface ares is 256 in^2
Let L represents the edge length, the surface area (S) is:
Substitute 256 for S
Divide both sides by 5
Take square roots of both sides:
---- approximated
The volume of the cube is:
<em>So, the edge length of the cube is 7.16 inches and the volume is 366.36 cubic inches</em>
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