Use the method of completing the square to transform the quadratic equation into the equation form (x – p)^2 = q.
1 answer:
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Answer:
19.2cm²
Step-by-step explanation:
Given parameters:
Radius of the circle = 7cm
Angle subtended by the arc = 45°
Unknown:
Area of the sector = ?
Solution:
To find the area of the sector, use the expression below;
Area of sector =
where r is the radius ;
Insert the parameters and solve;
Area of sector = x
x 7²
Area of sector = 19.2cm²
Answer:
x is equal to negative one, and y is equal to negative four.
Step-by-step explanation:
You can do this by solving one of the equations by either x or y, then substituting it into the other. Let's solve the second one for y:
Now we'll substitute that into the first equation:
So we now know that x is equal to -1. We can simply substitute that into one of the original equations to find y:
We now know that x is equal to -1, and y is equal to -4. We can also check our answer by plugging that -4 into the other equation, and see if we still get -1:
So we know that our answer is correct.