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?

An Elliptical Mirror Measures 20 Inches Wide And 24 Inches High. The Ellipse Is Centered At (0, 60) On

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]

Learn more about the equation of an ellipse here:

https://brainly.com/question/1306753


Related Questions

What’s the 16th term for 32,27,22,17

Answers

Answer:

-43

Step-by-step explanation:

By staring at it for a while you can tell that you're losing 5 every step. You can write the succession as [tex]a_n = 32-5n[/tex] (please notice the first terms starts when [tex]n=0[/tex], not 1!). The 16th term happens at [tex]n=15[/tex]:

[tex]a_1_5=32-5(15) = -43[/tex]

What is the number that is greater than 0.13 but smaller than 0.131

Answers

Answer:

any number between the two

for example: 0.1309, 0.1308, 0.1301, etc.

Step-by-step explanation:

hope this helped :)

Step-by-step explanation:

0.1308, 0.1309, 0.1301

Sara earns a basic salary of 14250 every month with an additional 12% commission on her sales. If Sara sold items worth AED 22264 last month, what was her total pay?
a. AED 16921.68
b. AED 24935.68
c. AED 1710
d. AED 2671.68

Answers

Answer:

A

Step-by-step explanation:

Commission: 22264*0.12=2671.68

Total pay: 14250+2671.68=16921.68

The total pay of Sara after adding the commission is: Option A:  AED 16921.68

How to find the net income?

Sara's total pay consists of her basic salary plus the commission on her sales.

Basic salary = AED 14250

Commission on sales = 12% of AED 22264

Commission = 0.12 * 22264

Now, calculate the commission:

Commission = 0.12 * 22264 = AED 2671.68

Total pay = Basic salary + Commission

Total pay = 14250 + 2671.68 = AED 16921.68

So, Sara's total pay is AED 16921.68

Read more about Net Income at: https://brainly.com/question/30404567

#SPJ3

A courtyard has the shape of a rectangle 45 ft and 28 ft wide. How long is a sidewalk from one corner diagonally to the opposite corner?
56 ft

47 ft

50 ft

53 ft

Answers

Answer:

53

Step-by-step explanation:

We use the pythagorean theorem, a^2 + b^2 = c^2. We can fill a and b for 45 and 28. 45^2 is 2025, and 28^2 is 784. Adding them up gives us 2809. The square root of 2809 is 53.

How do you do it i am very confused/ i just need the answer lol

Answers

Answer:

No question!

Step-by-step explanation:

Hi! Could you please insert a question so I could answer for you?

I would love to help!

Find the Value for X,Y and z using Gauss-Jordan Inversion method
2X+3Y=4
X+2Y=2

Answers

Answer:

x = 2 y = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

I’m confused with this question I need helppp please

Answers

It's the first one

I hope this help :)

Answer:

B. I and II

More Information:

Function :

A special relationship where each input has a single output.

Mark has a certain amount budgeted for dining out each month. Last month, the difference between the amount he budgeted and the amount he actually spent on dining out was less than -20 dollars.

Which of the following best describes this situation?
A.
Mark is under his budget by less than 20 dollars.

B.
Mark is under his budget by more than 20 dollars.

C.
Mark is over his budget by less than 20 dollars.

D.
Mark is over his budget by more than 20 dollars.

Answers

A. He used 20$ under his budget because he wanted to spend less then 20$ for dinner

graph A represents the function f(x)=^3 graph B and C are transformations of graph A

Answers

Answer:

A3

Step-by-step explanatio

Is 7,301,771 divisible by 6?​

Answers

[tex]\huge\boxed{Hi\: there!}[/tex]

[tex]\huge\mathfrak{Question:}[/tex]

Is 7,301,771 divisible by 6?

[tex]\huge\mathfrak{Answer:}[/tex]

No.

Remember, divisible by means the given number can be divided by a number without a remainder.

If we divide 7,301,771 by 6, we will get a remainder.

[tex]\huge\boxed{Therefore,\: 7,301,771 \: isn't \: divisible\: by 6.}[/tex]

[tex]\huge\mathfrak{Good\: luck!}\\\huge\bold {~CheerfulTeen}[/tex]

5^2 x 5^2 20 80 625 425

Answers

i’m confused about what you’re asking are we suppose to multiple or something

whats -3u + 5 if u=2​

Answers

Answer:

-1

Step-by-step explanation:

-3(2) = -6 + 5 = -1

Answer:

-1

Step-by-step explanation:

-3u + 5 =?

when u=2

= -3(2) + 5

= -6 + 5

= -1

Evaluate the expression
“-8.56x + 31.7 for x= 75.6”

A. -615.436
B. 614.436
C. 615.436
D. -614.436

Answers

Answer:

Substitute

Step-by-step explanation:

x=75.6

-8.56(75.6) + 31.7=-615.436

Answer: -615.436

Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work
3x + y = -2
y = 2x +3

Answers

The substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation or elimination method.

From the information given;

3x + y = -2      ----- (1)

y = 2x +3        ----- (2)

By using substitution method, we will replace the value of equation (2) into equation (1), by doing so, we have:

3x + (2x + 3) = -2

3x + 2x + 3 = -2

5x + 3 = -2

5x = -2 - 3

5x = - 5

x = -5/5

x = -1

From equation (2), let's replace the value of x = - 1 into equation (2);

y = 2x + 3

y = 2(-1) + 3

y = -2 + 3

y = 1

Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

Learn more about substitution method here:

https://brainly.com/question/14619835?referrer=searchResults

need help with math probelem i will give you 5 stars and a good rating

Answers

Answer:

8 feet

Step-by-step explanation:

12 x 2 =24

40 - 24 = 16

16 /2 = 8

Hope it helps :)

Find the values of x and y

Answers

Answer:

  x = 25, y = 19

Step-by-step explanation:

The external angle is supplementary to the adjacent internal angle.

  2x +130 = 180

  2x = 50 . . . . . . . subtract 130

  x = 25 . . . . . . . divide by 2

__

The external angle is equal to the sum of the remote internal angles.

  130 = 54 +4y

  76 = 4y . . . . . . . subtract 54

  19 = y . . . . . . . divide by 4

Consider this diagram of quadrilateral ABCD, which is not drawn to scale.

Answers

Answers: Choice B and Choice D.

[tex]\angle ABE \cong \angle CDE[/tex]  and [tex]\overline{AE} \cong \overline{CE}[/tex]

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

Explanation:

The tickmarks tell us which segments are congruent to one another. The segments with single tickmarks show that AE and CE are the same length. So this is why [tex]\overline{AE} \cong \overline{CE}[/tex]

---------------

The two triangles AEB and CED can be proven congruent through the use of the SAS theorem. From there, use CPCTC to conclude that the corresponding angles ABE and CDE are the same measure i.e. [tex]\angle ABE \cong \angle CDE[/tex]. They are alternate interior angles which helps lead to side AB being parallel to CD.

Answer:

B & D  or <ABE=<CDE, AE=CE

Step-by-step explanation:

I got it right on khan

Solve for x (13x + 2) (5x - 7) (3x - 4)


Thank you

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

As we know, sum of interior angles of a triangle is 180°

that is ~

[tex] \sf13x + 2 + 5x - 7 + 3x - 4 = 180[/tex]

[tex] \sf21x - 9 = 180 [/tex]

[tex] \sf21x = 180 + 9[/tex]

[tex] \sf x = \dfrac{189}{21} [/tex]

[tex] \sf x = 9 \degree[/tex]

Hence, value of x is 9°

Answer:

x = 9

Step-by-step explanation:

Sum of interior angles is 180:

(13x + 2) + (5x - 7) + (3x - 4) = 18021x - 9 = 18021x = 189x = 189/21x = 9

Find NMC triangle's perimeter if BO:BK=1:3 and ABC triangle's perimeter is 96

Answers

Answer:

  80

Step-by-step explanation:

If we assume the triangles are similar and are isosceles, and that BK is an altitude, then we can work the problem.

Triangle OKN will be similar to triangle BKA, so ...

  AN : AK = BO : BK = 1 : 3

Then ...

  AN : AK : KC = 1 : 3 : 3

In terms of ratio units, ...

  AN = 1

  AC = 3+3 = 6

  NC = 6-1 = 5

This means NC : AC = 5 : 6. The triangle perimeters will have the same ratio.

  perimeter(NMC) = 5/6·perimeter(ABC) = 5/6·96

  perimeter(NMC) = 80

product of (x+2y^2)(2x-2y^2)

Answers

Answer:

Step-by-step explanation:

(x + 2y²)(2x - 2y²)

FOIL

First

x(2x) = 2x²

Outside

x(-2y²) = - 2xy²

Inside

2y²(2x) = 4xy²

Last

2y²(-2y²) = - 4y⁴

combine like terms

2x² + 2xy² - 4y⁴

Answer:

-4y^4 + 2xy^2 + 2x^2

Step-by-step explanation:

(x + 2y^2) (2x - 2y^2)

x(2x) + x(-2y^2) = 2x^2 - 2xy^2

2y^2(2x) + 2y^2(2y^2) = 2xy^2 + 4y^4

2x^2 - 2xy^2 + 4xy^2 - 4y^4

2x^2 + 2xy^2 - 4y^2

or

-4y^4 + 2xy^2 + 2x^2

Three more than the product of 24 and Matt's height

Answers

Answer:

24m + 3 or (24 × m) + 3

Step-by-step explanation:

product = multiplying

matts height = variable

more than = addition

add together and that's your algebraic expression hope this helps :)

whats -6-10k if k=-1​

Answers

Answer:

The answer would be 4

Step-by-step explanation:

Calculate it

Answer:

4 is the answer.

Step-by-step explanation:

-6 - 10k

=> -6 - 10(-1)

=> -6 + 10

=> 4

Therefore, 4 is the answer.

Hoped this helped.

square root of the quantity x minus 3 end quantity plus 5 equals x

Answers

Answer:

x =1 if understood it correctly

Step-by-step explanation:

Which of the following is a solution of 4x + 3x = 12?
(a) (4,0)
(b) (3,0)​

Answers

Answer:

B

Step-by-step explanation:

Given equation is 4x+3y = 12

(3,0) is a solution because

LHS =

⇛ 4(3)+3(0)

⇛ 12+0

⇛ 12

⇛ RHS

LHS = RHS

also read similar questions: Find the intercepts of the graph given the following equation 4x – 3y = 12 A (4,0) and (0,-3) B (-3,0) and (0,-4) (3,0) and (0,-4) D (3,0) and (0,4)...

https://brainly.com/question/20948223?referrer

Which is a solution to the equation y=12-3x A.(4,3) C.(4,0) B.(-4,4) D.(0,4)....

https://brainly.com/question/3735786?referrer

Help help help help help help math math

Answers

Answer:

4x+14 = 2(2x+7}

12x+6=6{2x+1}

Every Thursday, Matt and Dave's Video Venture has “roll-the-dice" day. A customer may choose to roll two fair dice and rent a second movie for an
amount (in cents) equal to the numbers uppermost on the dice, with the larger number first. For example, if the customer rolls a two and a four, a
second movie may be rented for $0.42. If a two and two are rolled, a second movie may be rented for $0.22. Let X represent the amount paid for a
second movie on roll-the-dice day. The expected value of X is $0.47 and the standard deviation of X is $0.15.
If a customer rolls the dice and rents a second movie every Thursday for 30 consecutive weeks, what is the approximate probability that the total
amount paid for these second movies will exceed $15.00?

I saw other questions for this but why is the standard deviation 0.15*sqrt of 30 and not 0.15*30 because I thought this is a linear transformation

Answers

Using the normal distribution, it is found that there is a 0.1357 = 13.57% probability that the total  amount paid for these second movies will exceed $15.00.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard error is [tex]s = \sigma\sqrt{n}[/tex]

In this problem:

Mean of $0.47, standard deviation $0.15, hence [tex]\mu = 0.47, \sigma = 0.15[/tex]30 instances, hence [tex]n\mu = 30(0.47) = 14.1, s = 0.15\sqrt{30} = 0.8216[/tex]

The probability is 1 subtracted by the p-value of Z when X = 15, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering the n instances:

[tex]Z = \frac{X - n\mu}{s}[/tex]

[tex]Z = \frac{15 - 14.1}{0.8216}[/tex]

[tex]Z = 1.1[/tex]

[tex]Z = 1.1[/tex] has a p-value of 0.8643.

1 - 0.8643 = 0.1357.

0.1357 = 13.57% probability that the total  amount paid for these second movies will exceed $15.00.

A similar problem is given at https://brainly.com/question/25769446

how do i solve for this?

Answers

Answer:

see explanation

Step-by-step explanation:

(16)

The mid segment ZW is half the sum of the parallel bases

ZW = [tex]\frac{38+20}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29

(17)

The lower base angles are congruent , so

∠ UYX = ∠ VXY = 35°

(18)

Any lower base angle is supplementary to any upper base angle , then

∠ VUY = 180° - ∠ UYX = 180° - 35° = 145°

(19)

[tex]\frac{UV+XY}{2}[/tex] = ZW

[tex]\frac{3x-1+7x+1}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )

10x = 20 ( divide both sides by 10 )

x = 2

Then

XY = 7x + 1 = 7(2) + 1 = 14 + 1 = 15

(20)

The legs are congruent , so

UY = VX

5a - 6 = 3a + 2 ( subtract 3a from both sides )

2a - 6 = 2 ( add 6 to both sides )

2a = 8 ( divide both sides by 2 )

a = 4

Which statement is true about the value of 1-5/?
O It is the distance that -5 is from 0 on the number line.
O It is the distance that -5 is from 5 on the number line.
O It is less than 5.
0 It is greater than 5.

Answers

Answer:

O It is less than 5.

Step-by-Step

OK so, first u check if it has a negative. It does, so its at the left of 0. SO you know its less than.

the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer to two decimal places

Answers

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = v[tex]i[/tex] t + [tex]\frac{1}{2}[/tex] a[tex]t^{2}[/tex]

d = distance      v[tex]i[/tex] = initial velocity (m/s)    

t = time (s)     a = acceleration (m/[tex]s^{2}[/tex])

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/[tex]s^{2}[/tex] since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + [tex]\frac{1}{2}[/tex] (9.81m/[tex]s^{2}[/tex])(t)

220.98m = (4.905m/[tex]s^{2}[/tex])(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

Simplify 1/3 (5x-8)+2/3x

Answers

Answer:

7x-8

  3

Step-by-step explanation:

Answer:

2 1/3x - 2 2/3

Step-by-step explanation:

1/3 x 5

1/3 x -8

and add 2/3x to the mix

so

1 2/3x - 2 2/3x + 2/3x = 2 1/3x - 2 2/3

Other Questions
Complete the tables of values.Q1) y = x2 - 2x + 4x -1 0 1 2 3y help pls please hmmm A hybrid data mart ________ data from a data warehouse as well as other data collection systems. It incorporates a top-down approach, end-user inputs, and enterprise-level integration. g please help me ill give brainlist! Antibodies, lymphocytes, Bcells, and T cells are all a partof which type of immunesystem defense? Much of Eastern Europe is characterized byQuestion 1 options:dry winters and warm, wet summers.cold, snowy winters and hot summers.a humid subtropical climate.moderate average temperatures. Lucas is walking on a circular path modeled by the equation (x + 8)^2+ (y - 3)^2= 64 and Noal is walking on another circular path modeled by the equation (x - 10)^2 + (y - 3)^2= 100, where theirdistances are given in meters. What is the maximum distance between the walkers at any given time?18 meters21 meters36 meters40 meterspls help guys What should the IUPAC name for a binary covalent compound lack? prefixes Roman numerals an -ide ending the name of a nonmetal. Type the correct answer in each box. Use numerals instead of words. Which 2 characteristics do all magnets have? Check all that apply.1. Attraction2. Repulsion3. Amplitude4. Frequency English is the language of ______ English.Add article in this blank space. Please help me! Answer reading questions Tire King is having a sale where customers can buy 4 new tires for $ 319.96 . What is the unit price of the tires? I need help on this anyone please a piece of string 44 centermerters long.Many cuts of a piece that is 15 centermeaters long .how much string is left? Joe has $150 in his saving account and saves $40 per month. Which equation represents the amount Joe has in his account after x months?1. y=150+402. y=150x+403. y=40x+150 A retailer plans to sell two models of earbuds at costs of $250 and 5400.The $250 model yields a profit of $45 and the $400 model yields a profit of$50. The retailer estimates that the total monthly demand will not exceed250 units. Find the number of units each model that should be stocked inorder to maximize profit, given that the retailer is not investing more than$70,000 in inventory The base of a pyramid has n sides.Write an expression for the number of vertices of the pyramid. is the following section will discuss why some teenagers wear makeup to school a claim or not a claim please help me with math !! the diagram shows two parallel lines OP and RQ. Straight line PQ is parallel to the y-axis and O is the origin. a) Find the equation of the straight line PQ. b) Find the equation of the straight line RQ.c) Find the x-intercept of the straight line RQ.