(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:
34.10
Step-by-step explanation:
Note:
16% = .16
Important:
What was the <u>old price</u> of the shoes
Solution:
40.60 x .16 = 6.946 [Round:6.50]
40.60-6.50= 34.10
Hence, the old price of the shoes is $34.10
Answer:
14/336 ----------> 0.41
Step-by-step explanation:
you substituto 2 week to 336 cause there are 336 hours in 2 weeks therefore 14/336 = 0.41
the unit rate is 14/336
Using the Pythagoras theorem
15^2 = x^2 + h^2 where h = height of ladder on the nuiding
h^2 = 15^2 - 6^2 = 189
= 13.75 ft to nearest hundredth
The answer is C- Berthas cake weighs 463 grams more than Jessups cake
