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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This should be the right answer
Answer:
Area = 23.38 square"
Step-by-step explanation:
It is given that a regular hexagon is having a side = 3"
Since hexagon is inscribed in a circle therefore all the triangles formed by the radii and the sides of hexagon will be equilateral triangles.
In a hexagon number of triangles formed = 6
Area of an equilateral triangle = 1/4s²√3
By putting the value of s = 3"
Area of one triangle = 1/4×3²√3 = (9√3)/4
and we know number of triangles formed inside the hexagon = 6
Therefore area of hexagon = 6×(9√3)/4 = 23.38 square"
Answer is 23.38 square"
Answer: either 1113 or 11.13 i don't know what 5 3 means or 2
1 so either one
Step-by-step explanation:
Answer: quadratic
Constant term -6
Quadratic term -18x^2
Linear term -21x
Step-by-step explanation:
(3x+2)(-6x-3)=-18x^2-21x-6