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:
C 10⁴
Step-by-step explanation:
The given equation is
Javier has to solve for n
He can multiply through by 100 to get;
He can now divide through by 775 to obtain:
He can now easily simplify to get:
We rewrite as a power to get:
316.7 gal = 2533.6 pints.
Answer:
B. f(x) = -x + 11
Step-by-step explanation:
First if you rearrange the equation you get f(x) = -x + 11, like this:
x + y = 11
Minus x from both sides
y = -x + 11
F(x) and y are interchangeable so we just put f(x) in
f(x) = -x + 11
Each of the graphs are attached and we see that they are the same!
<em>Hope this helps!!</em>
<em>- Kay</em>
Answer:
Last one: Symmetric with respect to the y-axis
Step-by-step explanation:
About the Y-AXIS
because think about using a few points x = -2, x = -1 , x = 1, x = 2
notice that 2*(-2)^4 = 2 *(2)^4
and 2*(-1)^4 = 2*(1)^4
