(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)
7/16 is .4375, rounding to the nearest hundredth means you find the value that is two to the right of the decimal place, and use the 3rd number after as a basis to round it. Since 7 is greater then 5, you'll round the second number place up, putting your answer as .44, tack that onto the end of the 26 and you have 26.44 as your answer, or as a fraction, 26 11/25
Answer:
The answer is B :)
Step-by-step explanation:
Basically for a you subtract 4.5 from 4.1 and get -0.4 and for b you subtract 7.05 from 7.2 and get 0.15. Overall the answer is B, have a nice day.
Answer:
Step By Step Explanation:
Expand
Expand
Add 7 To Both Sides
Simplify
Add 16x To Both Sides
Simplify
- Both Sides Are Equal, True For All x
- Mordancy
Answer:
Simplifying
x = 11
Step-by-step explanation:
Simplifying
6x + -27 = 39
Reorder the terms:
-27 + 6x = 39
Solving
-27 + 6x = 39
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + 6x = 39 + 27
Combine like terms: -27 + 27 = 0
0 + 6x = 39 + 27
6x = 39 + 27
Combine like terms: 39 + 27 = 66
6x = 66
Divide each side by '6'.
x = 11
Simplifying
x = 11