Answer:
Choice B
Step-by-step explanation:
The first step is to write the polar equation of the conic section in standard form by dividing the numerator and denominator by 6;
The eccentricity of this conic section is thus 2/3, the coefficient of cos theta. Clearly, the eccentricity is between o and 1 implying that this conic section represents an Ellipse.
Lastly, the ellipse will open towards the left since we have positive cos theta in the denominator. The only graph that meets the conditions is graph B.
Answer:
w=20
Step-by-step explanation:
Solve for w by cross multiplying.
Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
Find the interquartile range and range of 125,17,23,16,21,18,16,15,11,35,18,24,18,3
bezimeni [28]
Interquartile Range = 7.5
Range = 122
Answer:
Step-by-step explanation:
1. P = (width + lengh) * 2 = (23 + 10) * 2 = 33 * 2 = 66
A = width * lengh = 23 * 10 = 230
2. width = 7
P = (width + lengh) * 2 = ( 7 + 9) * 2 = 16 * 2 = 32
