Mathematics High School

Write the equation of each ellipse in standard form with the given characteristics.

Answers

Answer 1

Answer:

Step-by-step explanation:

The foci are horizontally aligned.

horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

center (h,k)

vertices (h±a,k)

length of minor axis = 2b

foci (h±c,k), c² = a²-b²

Apply your data and solve for h, k, a, and b.

foci (±3√19, 6)

h = 0

k = 6

Length of minor axis = 2b = 10

b = 5

foci (h±3√19, 6)

c = 3√19

c³ = a² - b²

171 = a² - 25

a² = 196

x²/196 + (y-6)²/25 = 1

Related Questions

Sam is making a delivery to a store. The total trip will be 410 miles. He is driving at a constant rate of 65 miles per hour. He has already driven 20 miles. How much longer will it take him to get to the store?

Answers

Answer:

6 hours

Step-by-step explanation:

20 + 65x=410

65x=390

x=6

4) Madison's mom wrote the names of every day of the week on separate pieces of paper. Then she put the papers
in a hat. Madison would have to clean her room on the day that she blindly picked from the hat. What is the
probability that Madison will clean her room on a day that starts with the letter T'?
Talib

Answers

Answer:

2/7

Step-by-step explanation:

There are 7 days in a week, and 2 days start with the letter T.

Helpp pleaseeeee and could u put an explanation of how you did it?

Answers

Answer: Option A

Step-by-step explanation:

To get from A to A', what is done?

A is at the point (2,6) and A' is at the point (2,-1)

The x value of the two points stayed constant (didn't change) meaning that options C and D are invalid (because those two are transformations to the x-value)

Now let us take a look at options A and B which both concern the y value

The y-value of A is 6 and A' is -1

To get from 6 to -1, do you

a) subtract 7

or b) = multiply by -1

Let us test it out:

a) 6 - 7 = -1 (yes, it equals -1)

b) 6 * -1 = -6 (no, it does not equal the intended value of -1)

Thus correct choice is A, we subtract 7

Can someone help me with this?

Answers

Answer:

I think it's y= +10

not sure tho :))

If you make $400 a week for exactly 2 months how much do you have?

Answers

Answer:

$3200

Step-by-step explanation:

please help me this is all my grade!!!!

Answers

We need to know the options

A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature.

A number line going from negative 2 to positive 2.

Which numbers are solutions of the inequality? Choose all that apply.
–2
0
1
–10
–3
–1

Answers

Answer:

its 145

Step-by-step explanation:

Answer:

D: –10

Step-by-step explanation:

edge2020

what is the probability of getting an even number when a dice is rolled?

Answers

Answer:

1/2

Step-by-step explanation:

you could get 2 or 4 or 6

I need help with this

Answers

9514 1404 393

Answer:

pyramidprismprismpyramidprism

Step-by-step explanation:

A triangular prism will have exactly 2 triangular sides (bases).

A triangular pyramid will have at least 3 triangular faces.

Count the triangles and classify accordingly.

Left to right, the number of triangles is ...

4, 2, 2, 4, 2

The figures with 4 triangles are pyramids; the others are triangular prisms.

how much simple interest is earned on 3,500 in 3 1/2 years interest rate of 1.5%

Answers

Answer:

Loan amount

3,000

Interest

1.5

Payment

per year

Step-by-step explanation:

39 mm 52 mm What is the length of the hypotenuse?

Answers

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

39^2 + 52^2 = c^2

1,521+2704 = c^2

4,225 = c^2

Find the square root of both

65 = c

can anyone please help and tell me what the answer to this question is?

Answers

Answer: what question?

What is the question?

A farmer is painting his silo. A typical can of paint covers 400 squared meters. How many cans of paint will the farmer need to buy in order to paint the entire exterior of the silo?

Answers

Answer:

about 13 cans of paint

Step-by-step explanation:

To find how many cans the farmer needs to buy, you need to know the surface area of both the cone and cylinder.

The way to find the SA of the cone would be area = 3.14 x r^2 + 3.14 x r x sqrt(r^2 + h^2).

SA= 1976.0617791 m^2.

The way to find SA of the cylinder under the cone would be 3.14 x d x (d / 2 + h).

A = 3097.6103564 m^2

Then you have to add 1976.0617791+3097.6103564 which gives you 5,073.8. (5,073 being total surface area of the silo)

Next divide that by 400.

5,073.8/400 = 12.7

He would need to buy about 13 cans of paint to be able to paint the entire silo.

work out the gradient of a line which has a gradient of 2 and passes through the point (1,4).

Answers

y=mx+c
m is gradient so y=2x+c
y=4 when x=1 so 4 = 2 x 1 + c
so c =2
so y=2x+2

the area of a triangle is 12 cm squared. If the base of the triangle is 4 cm what is the height

Answers

Answer:

6 cm

Step-by-step explanation:

plz help me with these questions tomorrow is my exam and i need to practice them

Answers

Answer:

good luck !!!!!!!

hope this help for you !!!!!

PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST

Answers

A because a colored circle means it’s greater than

12 Units to the right of zero on a number line

Answers

Answer:

Step-by-step explanation:

0 + 12 = 12

Answer:

Step-by-step explanation:

the 2 numbers 12 units away from 0 are 12 and -12

since it's to the right of 0, it's positive

Write the equation of the line with a slope of 10 that goes through the point (8. -2) in Slope-Intercept and Point-Slope Form.
Slope-Intercept Form:

Answers

Answer:

Slope-Intercept: y = 10x - 82 Point Slope form: y + 2= 10(x - 8)

Step-by-step explanation:

To create a Slope-Intercept form, you need to first find the y-intercept. To do that, you need to plug in the coordinates in the eqaution so far, y = 10x +b.

y = 10x +b.

-2 = 10(8) + b

-2 = 80 + b

-82 = b

y = 10x - 82

Point Slope form: y + 2= 10(x - 8)

convert 5 km into millimeters

Answers

Answer:

5000000mm

im smart

Answer:

5,000,000mm

Step-by-step explanation:

1km = 1000m

1 m = 100cm

1cm = 10 mm

5km = 5000m

5000m = 500,000cm

500,000cm = 5,000,000mm

What's the greatest common factor of 30 and 15 and 60

Answers

The greatest common factor of the three numbers is 15

15. 15 is a factor of 30 and 60. Since 15 is also the largest possible factor of itself, the greatest common factor is 15.

18% as a fraction in its simplest form

Answers

Answer:

9/50

Step-by-step explanation:

18% = 18/100

GCF of 18 and 100 = 2

(18 ÷ 2)/(100 ÷ 2)

9/(100 ÷ 2)

9/50

Correct answer pleaseeeee

A financial analyst constructs a statistical model to represent the market shares of several similar companies.She then collects data over the next month to evaluate her model.At the end of the month,she finds that for one of the companies,the difference between her model and the data is 5%.
She decides to collect dats for an additional two months. If her model is valid,what could she except from the total data collected after three months?

A.)The difference between the data and the model will get larger.

B.)it is important to predict how the difference between the data and the model will change.

C.)The difference between the data and the model will get smaller

D.) The difference between the data and the model will stay the same

Answers

Answer:

Step-by-step explanation:

The difference between the percentage of the data and the model will stay the same.

Answer:

will get smaller.

Step-by-step explanation:

Exercise 5 Part 1 Calculate by justifying the measurement of angles: CAD and CDA B 45 432 35.35 Part 2 1) give the value of BD 92 2) show that AD = V50 3) show that AC = 50 3) calculate the exact value of CD 30 Part 3 Check that x is the difference between the perimeters of triangles ABC and ABD Part 4 1) Give the exact value of the area of ABD then that of ACD 2) Complete with the exact value then approximate: area of ABD = X area of ACD

Answers

Hello, I hope ur having a great day! :)

HELPPP

A. 9
B. 20
C. 16
D. 4

Answers

Answer:

C 16

Step-by-step explanation:

Using ratios

3:12

12/3=4

4:x

4*4=16

x=16

4:16

hope this helps:)

Point B has coordinates (4,1). The x-coordinate of point A is -8. The distance between point A and point B is 13 units. What are the possible coordinates of point A?

Answers

Answer:

1.3

Step-by-step explanation:

B: (4,1)

A: (-8, 1.3)

pythagorean theorem:

a leg: .3

b leg: 13

c: 13

cos 45° cos 30° + sin 45° sin 30°

Answers

Answer: hi hope this helps

Step-by-step explanation:

A ferris wheel can accommodate 50 people in 15 minutes. How many people could ride the ferris wheel in 3 hours?

Answers

Answer:

this is how you solve it

Step-by-step explanation:

so how many times can 15 fit in 1 hour

4 times right?

15 x 4 = 60

theres 3 hours

60 x 3 = 120!

120 is ur answer

hope this helps

have a great day

stay safe

i am failing. help.

Answers

x = 14
y = 29

If you subtract 32 and 24, you can see that it’s just adding 8 to be bigger.

So 6 + 8 = 14 and 21 + 8 = 29

Hope this helps!

Dave buys a goat and sheep for a total price of £120 as is surprised to find that the goat was twice the price of the sheep..

He made twice as much profit on the sheep as he did on the goat having sold both for a combined price of £180.

What is the percentage profit on the sheep?

Answers

Answer:

Let's define:

G = cost of a goat

S = cost of a sheep.

We know that the total cost for a goat and a sheep is £120, then:

S + G = £120

And the cost of the goat is twice the price of the sheep, then:

G = 2*S

To solve this system, we can just replace the second equation into the first one, then we get:

S + (2*S) = £120

3*S = £120

S = £120/3 = £40

This means that each sheep costs £40

And the cost of a goat is:

G = 2* £40 = £80.

Now we know that he sold both of them, where:

s = price of the sheep

g = price of the goat.

We know that he sold both of them for £180, then:

s + g = £180

And the profit of the sheep is twice the profit of the goat, then:

(s - S) = 2*(g - G)

(s - £40) = 2*(g - £80)

s - £40 = 2*g - £160

Then we have a system of equations:

s + g = £180

s - £40 = 2*g - £160

To solve this, we first could isolate g in the first equation:

g = £180 - s

Replacing this in the other equation we get:

s - £40 = 2*( £180 - s) - £160

s - £40 = £360 - 2*s - £160

s - £40 = £200 - 2*s

s + 2*s = £200 - £40 = £160

3*s = £160

s = £160/3 = £53.33

Then the percentage profit for the sheep is:

percentage profit = (s/S)*100% = (£53.33/£40)*100% = 133.3%

Then the percentae profit is 33.3%, which means that the sheep was sold at 133.3% of its original cost, leaving a profit of 33.3% of its original cost.

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