(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:
x = 7
y = 5
Step-by-step explanation:
Plug in:
2(12 - y) + 3y = 29
24 - 2y + 3y = 29
y + 24 = 29
y = 5
x = 7
Answer:
So a ratio of 8:3 means for every 8 cars that is 3 trucks so we have the number of trucks which is 21 so what i did to find the answer was see how many times 3 went into 21 which is 7 times then you would take the 7 and times it by 8 and get 56 so there are 56 cars.
Step-by-step explanation:
26/2 is 13 that is the answer 13 is the answer
hope this helps you
Answer:
t = 108
Step-by-step explanation:
t - 27 =
t + 21 ( subtract
t from both sides )
t - 27 = 21 ( add 27 to both sides )
t = 48 ( multiply both sides by 9 )
4t = 432 ( divide both sides by 4 )
t = 108