(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)
If you do .41x122 you get 50
f(5) is -8 ⇒ 1st answer
Step-by-step explanation:
Function is a relation between set of of ordered pairs (x , y),and every x has only one y
Examples:
- {(-1 , 2) , (2 , 4) , (5 , -3)} is a function because x = -1 has only y = 2, x = 2 has only y = 4 and x = 5 has only y = -3
- {(-2 , 4) , (0 , -1) , (-2 , 5)} is not a function because x = -2 has y = 4 and 5
The notation of the function is f(x) = y
The table:
→ x : f(x)
→ -4 : -2
→ -1 : 5
→ 3 : 4
→ 5 : -8
From the table
∵ x = -4
- The corresponding value of y to x = -4 is -2
∴ f(-4) = -2
∵ x = -1
- The corresponding value of y to x = -1 is 5
∴ f(-1) = 5
∵ x = 3
- The corresponding value of y to x = 3 is 4
∴ f(3) = 4
∵ x = 5
- The corresponding value of y to x = 5 is -8
∴ f(5) =-8
f(5) is -8
Learn more:
You can learn more about the functions in brainly.com/question/10879401
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Its 40 you basically add it kus if it gets colder than the temperature must of been higher so you add
Nine wholes with five twelves
9 5/12
