An elliptical mirror measures 20 inches wide and 24 inches high. The ellipse is centered at (0, 60) on a coordinate plane, where units are in inches. Which equation represents the mirror?

Answers

Answer 1

The height and width of the outline (perimeter) of the mirror, as well as the

center in relation to the plane of the edges are given.

[tex]\displaystyle The \ mirror \ can \ be \ \mathbf{ represented} \ by \ the \ equation; \underline{\frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Reasons:

Width of the elliptical mirror = 20 inches

Height of the elliptical mirror = 24 inches

Center of the ellipse = (0, 60)

The equation of an ellipse is; [tex]\displaystyle \mathbf{\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2}} = 1[/tex]

Where;

(h, k) = Coordinates of the center;

a = Semi major axis

b = Semi minor axis

In the mirror, we have;

(h, k) = (0, 60)

a = 24 ÷ 2 = 12

b = 20 ÷ 2 = 10

Which gives;

[tex]\displaystyle \frac{(x - 0)^2}{10^2} + \frac{(y - 60)^2}{12^2} = \frac{x ^2}{100} + \frac{(y - 60)^2}{144} = \mathbf{\frac{(y - 60)^2}{144} + \frac{x^2}{100}} = 1[/tex]

Therefore;

[tex]\displaystyle The \ equation \ that \ represent \ the \ mirror \ is; \underline{ \frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

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Professor Lee Xiao teaches an online class. She is paid $2,409 for up to 25 students,
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Answer:

25 + 6 = 31

Step-by-step explanation:

Her actual pay is 3262

Her base rate is 2409 Subtract to get the amount over the base

Amount of + 25 853

So how many student more does that amount to?

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If you have to round to the nearest integer, the answer is 6.

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Step-by-step explanation:

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Most plumbing companies charge a fee to come to your house plus a charge per hour of work. The fees and charges for two plumbing companies are shown.
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Answers

Answer:

Company A: [tex]y=40x+50[/tex]

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Step-by-step explanation:

The initial fee is the y-intercept, as that is the cost at x = 0, or the cost before any time has passed. Afterwards, the rate the cost increases is the slope.

Linear equation in slope-intercept form:

[tex]y=mx+b[/tex]

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Answer: The answer is 2x + 7.

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9x + 3 – 7x + 4

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9x + 7 - 7x

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the answer is 2x plus 7

What is the Area of this triangle? WILL MARK BRAINLIEST

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Answer= 18

Explanation: you have to graph it on a grid paper first then make. Also trust me it’s the answer

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Answers

Step-by-step explanation:

remember 3 things

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2. 3 / 1/6 = 3/1 / 1/6 = 3/1 × 6/1 (dividing by a fraction is the same as multiplying with the upside-down fraction).

3 a/b × c/d = ac / bd. in our case 3/1 × 6/1 = 18/1 = 18

The answer would be 18? multiple num. by den. 3•6=18

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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Answers

Step-by-step explanation:

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

a=1.

b=-7

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[tex] \frac{ - ( - 7) - \sqrt{ (- 7) ^{2} - 4(1)( - 6)} }{2(1)} [/tex]

Therefore x= 7,772

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Answer:

Step-by-step explanation:

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Answer: Choice B

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=======================================================

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[tex]\huge \bf༆ Answer ༄[/tex]

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Answers

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Answers

Part 1) Computing (p °q) (5)

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===========================================================

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

The solution of the system of equation is (6, 13) and (1, 3).

How to solve system of equation?

The system of equation can be solved using substitution method. Therefore, let's solve the system of equation by substitution method.

y = 2x + 1

y = x² - 5x + 7

substitute the value of y in equation(ii)

2x + 1 = x² - 5x + 7

x² - 5x + 7 - 2x - 1 = 0

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x = 6 and x = 1

Hence,

when x = 6

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y = 12 + 1 = 13

when x = 1

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