(a) 4
(b) y = sqrt(9 - (9/16)x^2)
The best guess to the formula using knowledge of the general formula for an ellipse is:
x^2/16 + y^2/9 = 1
(a). An ellipse is reflectively symmetrical across both the major and minor axis. So if you can get the area of the ellipse in a quadrant, then multiplying that area by 4 would give the total area of the ellipse. So the factor of 4 is correct.
(b). The general equation for an ellipse is not suitable for a general function since it returns 2 y values for every x value. But if we restrict ourselves to just the positive value of a square root, that problem is easy to solve. So let's do so:
x^2/16 + y^2/9 = 1
x^2/16 + y^2/9 - 1 = 0
x^2/16 - 1 = - y^2/9
-(9/16)x^2 + 9 = y^2
9 - (9/16)x^2 = y^2
sqrt(9 - (9/16)x^2) = y
y = sqrt(9 - (9/16)x^2)
Answer:
find the area if the sector,then the area of the triangle.After that, Subtract the area of the triangle from the area of the sector
Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.
Answer:
1047 m = c
Step-by-step explanation:
Given : Mr.kelly pays $12,564 a year for rent. His rent is a constant amount each month.
To Find:Which equation represents the amount he pays her month if m=months and c=total rent paid for the year?
Solution :
Since he pays for a year (12 months) = $12,564
Since His rent is a constant amount each month.
He pays for one month =
Thus the amount he pays per month $1047
If he pays for m months then the total amount(c) of rent for m months
⇒1047 m = c
Hence equation represents the amount he pays her month if m=months and c=total rent paid for the year: 1047 m = c