Answer: (-2, 0) and (0, -2)
Step-by-step explanation:
This system is:
y + x = -2
y = (x + 1)^2 - 3
To solve this we first need to isolate one of the variables in one fo the equations, in the second equation we have already isolated the variable y, so we can just replace it in the first equation:
(x + 1)^2 - 3 + x = -2
Now we can solve this for x.
x^2 + 2*x + 1 - 3 = -2
x^2 + 2*x + 1 -3 + 2 = 0
x^2 + 2*x + 0 = 0
The solutions of this equation are given by the Bhaskara's formula, then the solutions are:
The two solutions are:
x = (-2 - 2)/2 = -2
In this case, we replace this value of x in the first equation and get:
y - 2 = -2
y = -2 + 2 = 4
This solution is x = -2, y = 0, or (-2, 0)
The other solution for x is:
x = (-2 + 2)/2 = 0
If we replace this in the first equation we get:
y + 0 = -2
y = -2
This solution is x = 0, y = -2, or (0, -2)
I think it’s D is the answer
Answer:
5/12, 6/13, 13/28, 10/17, 2/3
Step-by-step explanation:
First, simplify the ones that could be simplified.
2/3, 5 to 12, 6:13, 10:17, 13/28
<em>(okay apparently only the first could be simplified)</em>
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You can look at all of them as fractions
2/3, 5/12, 6/13, 10/17, 13/28
Answer:
Step-by-step explanation:
- 3x-2y =7
- x+2y= -3
- 4x=4
- x=4/4
- x=1
- 3x-2y=7
- 3(1)-2y=7
- 3-2y=7
- -2y=7-3
- -2y=4
- 2y=-4
- y=-4/2
- y= -2
- Verify solution
- x+2y= -3
- 1+2y= -3
- 2y=-3-1
- 2y= -4
- y= -4/2
- y= -2
Answer:
Exterior angle of a decagon will be 36°
Step-by-step explanation:
Measure of all interior angles of a polygon is represented by (n - 2)×180°
where n is the number of sides of the polygon.
Now we have to calculate the exterior angle of a regular decagon.
As we know exterior angle of polygon is supplementary of the interior angle.
So we will calculate interior angle first.
Sum of interior angles of decagon = (n - 2)×180° = 8×180° = 1440°
Since decagon is regular so all angles will be same.
So one angle of decagon = 1440 ÷ 10 = 144°
Now exterior angle = 180 - 144 = 36°
Each exterior angle of a decagon will be 36°.
