Answer:
x^2 + 8x - 65 = 0.
Step-by-step explanation:
In order to solve the side of the enlarged area of 81 square inches, we use the equation in solving the area of a square. Area = side^2.
the increase in side will be x, so (4+x)^2 = 81, x^2 + 4x + 4x + 16 = 81
x^2 + 8x + 16 - 81 = 0
x^2 + 8x - 65 = 0.
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Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).
Answer:
360°
Step-by-step explanation:
From the figure attached,
R, S, T and Q are the points on a circle O.
Since, "measure of an arc of a circle is equal to the measure of the angle subtended by the arc at the center."
By this statement,
m(major arc RQ) = m(∠QOR)
Now 
+ m(major arc RQ) = 
Since sum of all angles at a point = 360°
+ m(major arc RQ) = 360°
The domain would be x ≥ 0.
This is because the outlet cannot have profit before it was open. Therefore, the growth must be from year 0 to present. If they give a year as starting, you can have an upper limit too, but there is not enough information here to determine that information.
