The solutions to the system of equations are given as follows: (1, -3) and (-4,2).
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The equations are given as follows:
- (x + 3)² + (y + 2)² = 17.
From the second equation:
y = -2 - x.
Replacing in the first:
(x + 3)² + (y + 2)² = 17.
(x + 3)² + (-2 - x + 2)² = 17
x² + 6x + 9 + x² = 17
2x² + 6x - 8 = 0
2(x² + 3x - 4) = 0
2(x + 4)(x - 1) = 0.
Then the solutions for x are:
The solutions for y are:
- When x = 1, y = -2 - 1 = -3.
- When x = -4, y = -2 -(-4) = 2.
Hence the solutions are:
(1, -3) and (-4,2).
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
B
Step-by-step explanation:
A triangles angles always sum up to 180 degrees. Since you already have 1 angle which is 43 degrees you will do 180-43 which is 137. The only angles that add up to 137 degrees is letter B.
If they both have the same volume and height, they would also have the same surface area.
If the value for three years is $3500 then the answer should be $7000. you would take 3500 and multiply it by 2 because 3 years plus 3 years is 6 years
Answer:
W = 58 yards, L = 210 yards
Step-by-step explanation:
P = 2 (L + W)
L = 4w - 22
P = 2 (4W - 22 + W)
536 = 8W - 44 + 2W
536 = 10W - 44
10 W = 536 + 44
10W = 580
W = 58 yards
Since L = 4W - 22
L = 4 (58) - 22
L = 232 - 22
L = 210 yards