Find the center, vertices, and foci of the ellipse with equation x squared divided by 9 plus y squared divided by 25

Answers

Answer 1

Answer:

[tex]C=(0,0)[/tex]

[tex]F=(\pm 4,0)[/tex]

[tex]V=(\pm 5,0)[/tex]

Step-by-step explanation:

From the question we are told that:

The Equation

 [tex]\frac{x^2}{9}*\frac{y^2}{25}[/tex]

Generally

From the Equation

 [tex]a^2=25[/tex]

 [tex]a=5\\b^2=9\\b=3[/tex]

Therefore

 [tex]c=\sqrt{a^2-b^2}[/tex]

 [tex]c=\sqrt{25-9}[/tex]

 [tex]c=\sqrt{16}[/tex]

 [tex]c=4[/tex]

Generally the equation for center is mathematically given by

 [tex]C=(h,k)[/tex]

 [tex]C=(0,0)[/tex]

Generally the equation for foci is mathematically given by

 [tex]F=(h,k \pm c,0)[/tex]

 [tex]F=(\pm 4,0)[/tex]

Generally the equation for vertice is mathematically given by

 [tex]V=(h,k \pm a,0)[/tex]

 [tex]V=(\pm 5,0)[/tex]


Related Questions

How would I be able to solve for m

Answers

Answer:

131

Step-by-step explanation:

180-49= 131 therefore the answer is 131

(50+10) ÷10=(50÷10) +10÷_)​

Answers

Answer:

40 i think

Step-by-step explanation:

A TV priced at £600 is reduced by 15% in a sale. What is the sale price of the TV?
(It’s not 90)

Answers

Answer:

It's 510!

Step-by-step explanation:

15% of 600 = 90

600-90 = 510

Can someone help me on this for 13 points

Answers

Answer:

look at the picture i have sent

Answer:

m < ABD = 135

x = 67.5

i need it solved and explaned

Answers

Answer:

m = -24

Step-by-step explanation:

(m/6) - 7 = -11

Add 7 to each side

(m/6) - 7+7 = -11+7

m/6 = -4

Multiply each side by 6

m/6 *6 = -4*6

m = -24

Answer:

Step-by-step explanation:

m/6-7=-11

m-6*7/6=-11

m-42=-11*6

m-42=-66

m=-66+42

m=-24

If a polygon has 8 sides it’s an octagon, but how do i know if it’s regular or not? do i see if the sides are equal? please let me know because i’m not so sure

Answers

Answer:

yes if it's normal all the sides are equal hope that helped can i get brainliest if you have time

Solve using the quadratic formula. Approximate answers to the nearest tenth.

Answers

Answer:

[tex]\displaystyle x=-1, \ 8[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

x² - 7x - 8

a = 1, b = -7, c = -8

Step 2: Solve for x

Substitute in variables [Quadratic Formula]:                                                  [tex]\displaystyle x=\frac{7 \pm \sqrt{(-7)^2-4(1)(-8)}}{2(1)}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle x=\frac{7 \pm \sqrt{49-4(1)(-8)}}{2(1)}[/tex][√Radical] Multiply:                                                                                           [tex]\displaystyle x=\frac{7 \pm \sqrt{49 + 32}}{2(1)}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle x=\frac{7 \pm \sqrt{81}}{2(1)}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle x=\frac{7 \pm 9}{2(1)}[/tex]Multiply:                                                                                                             [tex]\displaystyle x=\frac{7 \pm 9}{2}[/tex]Add/Subtract:                                                                                                    [tex]\displaystyle x=\frac{-2}{2}, \ \frac{16}{2}[/tex]Divide:                                                                                                               [tex]\displaystyle x=-1, \ 8[/tex]

If the data represented by the graph is normally distributed, what are the endpoints of the middle 68% of the data?

Answers

Answer: -1.8 and 11.4

Step-by-step explanation:

Trust me or don’t lol

Answer:

D. 2.6 and 7

Step-by-step explanation:

Plato course, did the test

The cumulative frequency table shows the heights (inches) of every student in Mrs. Torjman’s math class. What number should be written in the red box?

Answers

Answer:

The number 28 should be written in the red box.

PLEASE HELP!!!
The club will base its decision about whether to increase the budget for the indoor rock climbing facility on
the analysis of its usage. The decision to increase the budget will depend on whether members are using
the indoor facility at least two times a week. Use the best measure of center for both of the original data
sets to determine whether the club should increase the budget. Assume there are four weeks in a month.
If you think the data is inconclusive, explain why.

Answers

Answer:

Yes, they should increase the budget, because both 8 (Manuel) and 9 (Gretchen) are at least 8. 8 times per month is equivalent to 2 times per week.

Step-by-step explanation:

Answer from Plato

Hence, the answer is Plato.

What is the measurement?

Measurement is the process of finding a number that shows the amount of something. Time the ongoing sequence of events is time. We can measure time in seconds, minutes, hours, days, weeks, months, and years.

Here given that,

The club will base its decision about whether to increase the budget for the indoor rock climbing facility on

the analysis of its usage. The decision to increase the budget will depend on whether members are using

the indoor facility at least two times a week. Use the best measure of center for both of the original data

sets to determine whether the club should increase the budget.

As per this we get that,

Yes, they can increase the budget, because both Manuel has [tex]8[/tex] and Gretchen [tex]9[/tex] are at least [tex]8[/tex] and [tex]8[/tex] times per month is equivalent to the two times per week.

Hence, the answer is Plato.

To know more about the measurement

https://brainly.com/question/18076822

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Find the missing side length a in the similar figures below

Answers

Answer:

saan po ang picture niyo

paramasgutan

Stephanie is hosting an art show and she would like to raise at least $800. She plans on
selling VIP tickets to her family and friends for $20 each. She will also sell general admis-
sion tickets for $40 each. The venue is small, so Stephanie can sell no more than 25 total
tickets.

Answers

Answer: 10, 15

Step-by-step explanation:

Given

Stephanie wants to raise at least $800

she plans on selling VIP tickets for $20 each and general admission for $40 each

suppose there are x and y tickets for VIP and general admission

[tex]\therefore x+y\leq 25\\\\\Rightarrow 20x+40y\geq 800[/tex]

solving above two inequality

Stephanie must sell 10 tickets for VIP and 15 tickets for general admission

Find the area of the circle. Round your answer to the nearest tenth.
9 mm
area: about
mm2

Answers

Step-by-step explanation:

area of a circle

A = pi x r^2

r=9

Addison is 4 times as old as Charlie. In 22 years, Addison will be twice as old as Charlie. Which equation represents their ages in 22 years?

A.4x = x = 22
B.4x + 22 = 2 (x+22)
C.4x + 22 = 2x + 22
D.2(4x) = x + 22

HELPPP

Answers

The answer there is c

Find the area of this composite shape
11 cm
"11 cm
18 cm
6.5 cm

Answers

Answer:

166.5 cm squared

Step-by-step explanation:

Multiply 11x11 =121

Multiply 7x6.5 =45.5 (we get the 7 because 18-11=7)

Then we add 121 and 45.5 and get 166.5

The area of this composite shape is 166.5 square cm

Area of composite figures

Composite figures are figures that has more than 1 shape. The given figure is made up of two rectangles.

The area of the shape is given as shown below;

Area = (11*11) + (7 * 6.5)
Area = 121 + 45.5

Area = 166.5 square cm

Hence the area of this composite shape is 166.5 square cm

Learn more on area of composite shapes here: https://brainly.com/question/8370446

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PLEASE HEP ME WITH THIS ONE

Answers

Answer:

Your answer is about 50.27 or 50.26548

Step-by-step explanation:

A = pi*r²

A = pi*4²

A = 50.26548

Help please and thank you

Answers

Answer:

B is correct: 3x=40

Step-by-step explanation:

just cross multiply and mark brainliest if you feel like it :)

Answer:

3x =40

Step-by-step explanation:

3 will cross multiply with x then 4 will multiply 10

Hence 3x=40

Tania has a set of nesting rings. This table shows the relationship between the radius of a ring and the ring's circumference.
What is the circumference for the nesting ring with a 9.5 cm radius?

Answers

Answer:

59.66 cm

Step-by-step explanation:

Circumference of a circle = 2πr

π = 3.14

r = radius = 9.5

2 x 3.14 x 9.5 = 59.66 cm

math question, evaluation ​

Answers

Answer:

P = 131 degrees

Step-by-step explanation:

We know that the sum of the interior angles of a triangle is 180 degrees

The exterior angles shown form a straight line with the corresponding interior angle

So the two interior angles can be calculated

The sum of two angles on a straight line is 180 degrees

By subtracting the exterior angles from 180, we can get the two interior angles which we can add to the angle at P to give 180

Thus;

P + (180-162) + (180-149) = 180

P + 18 + 31 = 180

P = 180-31-18

P = 131

3) If your weekly salary is $415.00, how much do you take home each week after deductions are made for federal income tax of $82.13, state tax of $9.74, social security and Medicare tax of $31.75, and retirement plan deduction of $41.50.

Answers

Answer:

249.88

Step-by-step explanation:

415-82.13-9.74-31.75-41.50

What is the value of x that makes the following equation true? You must show your work to get credit. (-2)^4x+2 / (-2)^2x = (-2)^12

Answers

Step-by-step explanation:

you will add the powers 4×+2=6×

then(-2)^6

after this,you will multiply the (-2)^6=(-2)^12

1. Calculate exactly;
(b) 3/4 + 2/3 + 4/5

Answers

2.2166666666 this is what I got man

Which class has the largest ratio of boys to girls

Answers

Answer:

You need to calculate (# of Boys) / (# of Girls + # of Boys). The largest ratio will be the biggest number

Step-by-step explanation:

Example:

• 55 Boys and 35 Girls

• Boys Ratio = (55) / (55 + 35)

• Boys Ratio = 55 / 90

• Boys Ratio = 61%

What is cos45degrees? work shown please

Answers

Answer: [tex]\dfrac{1}{\sqrt{2}}[/tex]

Step-by-step explanation:

The value of [tex]\cos 45^{\circ}[/tex] is the fixed value i.e. [tex]\frac{1}{\sqrt{2}}[/tex]

The values of cosine changes from a maximum at [tex]0^{\circ}[/tex] to a minimum at [tex]180^{\circ}[/tex]

for example, [tex]\cos 0^{\circ}=1, \quad \cos 90^{\circ}=0,\quad \cos 180^{\circ}=-1[/tex]

Simplify.
-6√7 • 4√5
-2 √35
-24 √35
24 √35

Answers

Answer:

-24·[tex]\sqrt{35}[/tex]

Step-by-step explanation:

Please help I need this I will give brainlest

Answers

Answer:

6 is B since we finding W the variable can't be on both sides of the equation, or else we might end up with w = w.

7 is A because when you graph the equation the slope is 1 and the line crosses the y line at 2.

Step-by-step explanation:

help!! Find the inequality represented by the graph.

Answers

The inequality represented by the graph presented below would equal, (-4, 0.5)

Hope this helps! Mark me as brainliest please ;D

3x+5(2+x)=4x-7 help me out here?

Answers

Answer:

x = -17/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

[Distributive Property] Distribute 5:                                                                 3x + 10 + 5x = 4x - 7[Addition] Combine like terms:                                                                        8x + 10 = 4x - 7[Subtraction Property of Equality] Subtract 4x on both sides:                      4x + 10 = -7[Subtraction Property of Equality] Subtract 10 on both sides:                       4x = -17[Division Property of Equality] Divide 4 on both sides:                                  x = -17/4

Answer:

x=[tex]\frac{-17}{4}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5(2+x)=4x−7

3x+(5)(2)+(5)(x)=4x+−7(Distribute)

3x+10+5x=4x+−7

(3x+5x)+(10)=4x−7(Combine Like Terms)

8x+10=4x−7

8x+10=4x−7

Step 2: Subtract 4x from both sides.

8x+10−4x=4x−7−4x

4x+10=−7

Step 3: Subtract 10 from both sides.

4x+10−10=−7−10

4x=−17

Step 4: Divide both sides by 4.

[tex]\frac{4x}{4}[/tex]=[tex]\frac{-17}{4}[/tex]

x=[tex]\frac{-17}{4}[/tex]

What are the values of Limit of g (x) as x approaches 33 minus and Limit of g (x) as x approaches 33 plus?

Answers

Answer:

D

Step-by-step explanation:

74.55 divided by 5
I’m not sure of the answer I need some help

Answers

Answer:

14.91

Step-by-step explanation:

Have a good day :)

Answer:

The answer is 14.91

Step-by-step explanation:

To find the answer we must first see how many times 5 can go into 74.55.  Since 5 x 14.91 = 74.55, then it means that our answer is 14.91.  

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