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:
3x + 5 = 23
Step-by-step explanation
I tried my best I hope this is right. I hope this helps you.
Answer:
165 km ^2
Step-by-step explanation:
Answer:
P = 105°
QR = 11.6
M = 45°
LN = 8.5
Step-by-step explanation:
when reading the order of what is given LMN = PRQ the order DOES matter
so whe looking at what is being asked....
P will equal whatever its place is in the opposite equation. In this case that is L. This means that P = L. Since L = 105° then so does P.
You can do this with the rest of the letters. What ever letter is in it's place in the opposite equation that is what it equals.
Answer:
I can't do the area but area of a triangle is
A of triangle = h×b over 2
h = hieght of the triangle
b= base of the triangle
