An ellipse has a co-vertex at (–8, 9) and a foci at (4, 4). If the center of the ellipse is located below the given co-vertex, then what is the equation of the ellipse? Write in standard form. Guide question? 1) What are the coordinates of the center of the ellipse? 2) Is the ellipse horizontal or vertical?

Answers

Answer 1

Answer:

Step-by-step explanation:

“the center of the ellipse is located below the given co-vertex”

Co-vertex and center are vertically aligned, so the ellipse is horizontal.

Equation for horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

with

a² ≥ b²

center (h,k)

vertices (h±a, k)

co-vertices (h, k±b)

foci (h±c,k), c² = a² -b²

One co-vertex is (-8,9), so h = -8.

One focus is (4,4), so k = 4.

Center (h,k) = (-8,4)

c = distance between center and focus = |-8 - 4| = 12

b = |9-k| = 5

a² = c² + b² = 169

(x+8)²/169 + (y-4)²/25 = 1


Related Questions

Select the complete subject of the sentence below. Brandon planned to win the race. Brandon planned Brandon planned to win Brandon planned to win the race Brandon

Answers

Answer:

i cant even process this.

Step-by-step explanation:

According to the general equation for conditional probability, if P(A n B) = 3/4 and P(B) = 4/5 what is P ( A|B)?
A. 35/36
B. 15/16
C. 8/9
D. 24/25

Answers

Given:

[tex]P(A\cap B)=\dfrac{3}{4}[/tex]

[tex]P(B)=\dfrac{4}{5}[/tex]

To find:

The [tex]P(A|B)[/tex].

Solution:

Conditional probability:

[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

Substituting the given values, we get

[tex]P(A|B)=\dfrac{\dfrac{3}{4}}{\dfrac{4}{5}}[/tex]

[tex]P(A|B)=\dfrac{3}{4}\times \dfrac{5}{4}[/tex]

[tex]P(A|B)=\dfrac{16}{16}[/tex]

Therefore, the correct option is B.

It takes 20 minutes to fill a wading pool. The pool has developed a leak through which it will empty in 30 minutes.
If the hole is not fixed, how long will it take to fill the wading pool?

Answers

In t minutes, t/20 of the pool is filled and t/30 of it is emptied.

t/20 - t/30 = 1
multiply both sides by LCM 60.

3t - 2t = 60
t = 60

The pool is filled in 60 minutes.

Here is a Venn diagram.
a) Write down the numbers that are in set
А.
B
16
(i) AUB 8,14, 17, 16, 9, 15
8
14
9
(ii) A B 14,17
17
15
13
12
10
11
One of the numbers in the diagram is
chosen at random.
b) Find the probability that the number is in
set A, giving your answer as a decimal.

Answers

Answer:

0.7

Step-by-step explanation:

.

Answer:  b) 0.7

Just copy that into mathswatch :>

hello I’m new here ! But I’m having trouble understanding how my teacher factored out the A from a-a(1.2^4)? And made it to A(1-1.2^4)?

I attached a picture !

Thank you everyone :)


Answers

This is the distributive property:

ab + ac = a (b + c)

In this case, you have

a - a (1.2⁴)

and a is a common factor to both a and a (1.2)⁴, so you can pull it out as

a (1 - 1.2⁴)

What does 8 represent in the decimal 478.92

A. Tenths
B. Hundreds
C. Dozen
D. Units​

Answers

Answer:

Units

Step-by-step explanation:

From the value above 478.92

4 represents hundreds

7 represents tens

8 represents units

Hence the answer is units

Shelly believes the honor roll students at her school have an unfair advantage in being assigned to the math class they request. She asked 500 students at her school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below:
Honor Roll - Not on Honor Role - Total
Received Math Class Requested 125 215 340
Didn't Get Math Class Requested 80 80 160
Total 205 295 500


Help Shelly determine if all students at her school have an equal opportunity to get into the math class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

Answers

Answer:

I believe this would be the answer?

Step-by-step explanation:

{2, 3, 4, 6, 8, 9, 10, 12}

What is the answer?? I need help

Answers

Answer:

∠EFD

Step-by-step explanation:

Δ ABC similar ΔDEF

Trick is to keep the letters in the same order. A for D, B for E, and C for F

∠BCA

Where is the B?

second.

What's the second letter in other triangle?

E.

C is the third. F is the third in the other.

A is first. D is first.

SOMEONE PLEASE HELP!!

Answers

Answer:

RV = 18

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18

Five students and two teachers pose for a picture.in how many ways can they line up side by side for a picture. 2. In how many ways can they line up if they must have the teachers on both sides of the picture? 3.what is the probability that the two teachers occupy two of the three middle slots?

Answers

First, 5 students and 2 teachers is 7 different people. That means there are 7! Ways they can stand in a line. (7! Means 7x6x5x4x3x2x1)
That is 5040 ways.

Having the teachers on either side with the five students in the middle splits the question. There are 2 ways the teachers could stand (TA on left, TB on right or vice versa). There are 5! Ways to arrange the students in the middle. That is, 120. So combined, there are 2x120 ways to have them lined up with the teachers on either side. 240 ways.

Out of the 5040 ways for all of them to line up, one teacher will be in the middle 3 spaces 3/7 of the time. The second teacher will be on one of the remaining 2 central spaces 2/6 (1/3) of the time. 3/7x1/3 = 1/7. That means 1/7 or 14.29% of the time, the two teachers will occupy two of the three middle slots.

The following system of equations represents the total distance a flight from point A to point B flies based on its initial, I, and return, R, journey speeds, as well as the total time in the air for the round trip. Determine the amount of time each leg of the journey takes.
120I+200R=2000
I+R=15

10 hours, 5 hours
12 hours, 20 hours
12.5 hours, 2.5 hours
No Solution

Answers

Answer:

ewan ask mo kay ma'am para alam mo po

PLEASE GIVE AN ANSWER AND EXPLANATION! I BEG YOU. I REALLY NEED SOMEBODY TO ANSWER!!!

Answers

Answer:

27y^12

Step-by-step explanation:

you multiply the exponents together

in this case: 4×3=12

and then multiply the base number by 3 as well.

The graphs below have the same shape. What is the equation of the blue graph?

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer:

werwegwrvetvytby46bu46unu46e8mn667mmmm

Step-by-step explanation:m7

ui 6ei 67i77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777mmm

the 3 three questions​

Answers

Answer:

Step-by-step explanation:

#2 Should be many to one; the reason for this is when doing functions a proper one will have one input to one output.

#3 Should be D; same reasoning as above.

And sorry I am at a loss for #1.

Drag the tiles to the correct boxes to complete the pairs match the scale drawing area and the actual area to the correct scale

Answers

Answer:

[tex](a)\ r = 1in : 9ft[/tex]

[tex](b)\ r = 1 in: 15ft[/tex]

[tex](c)\ r = 1 in: 16ft[/tex]

[tex](d)\ r = 1in:4ft[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The scale of each area

The scale ratio (r) is calculated as:

[tex]r = scale:actual[/tex]

So, we have:

(a)  scale : 13 square inches  and actual : 117 square feet

[tex]r = 13in : 117ft[/tex]

Divide by 13

[tex]r = 1in: 9ft[/tex]

(b) scale : 5 square inches  and actual : 125 square feet

[tex]r = 5in : 125ft[/tex]

Divide by 5

[tex]r = 1in : 25ft[/tex]

(c) scale : 8 square inches  and actual : 128 square feet

[tex]r = 8in : 128ft[/tex]

Divide by 8

[tex]r = 1in : 16ft[/tex]

 

(d) scale : 12 square inches  and actual : 48 square feet

[tex]r = 12in : 48ft[/tex]

Divide by 12

[tex]r = 1in:4ft[/tex]

Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.

If Moses ran 8 laps, how many laps did Louis run?

Answers

Answer:

Moses ran 8 Luis ran 12.

Step-by-step explanation:

.

Number of laps to Louis run is 12 when Moses ran 8 laps.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3

Now,

Since,  The ratio of the number of laps Moses ran to the number of laps Louis ran = 2 : 3

So, Number of laps Moses ran = 2x

And, Number of laps Louis ran = 3x

If Moses ran 8 laps.

Then, we get;

2x = 8

x = 4

Then, Number of laps Louis ran = 3x

                                                 = 3 × 4

                                                 = 12

Thus, Number of laps to Louis run is 12 when Moses ran 8 laps.

Learn more about the ratio visit:

https://brainly.com/question/25927869

#SPJ2

Surveying Indiana high school students about virtual learning or e-learning by sampling all of the students from only some of the online schools in Indiana would be a type of sampling known as cluster sampling.

True
False

Answers

Answer: True

Each high school in Indiana is considered a cluster. Let's say there are 1000 high schools in that state. That would mean there are 1000 clusters.

You would then randomly select say 5 clusters. Once those selections are made, you would then survey every student at those five schools selected. The number of clusters selected will depend on the situation of course.

Someone help me please if you don’t mind

Answers

Answer:

x(3x^ x - 2 x - 1)

Step-by-step explanation:

the answer is

x(3x^2 - 2x - 1)

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.
Passing through (-3, -6) and (2,9)
What is the equation of the line in point-slope form?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
What is the equation of the line in slope-intercept form?

Answers

Answer:

slope-inercept form: y = 3x + 3        point-slope form: y - 9 = 3(x - 2)

Step-by-step explanation:

slope-intercept form:

y2 - y1 / x2 - x1        

9 - (-6)/ 2 - (-3)      

= 3

y = 3x + b

9 = 3(2) + b

9 = 6 + b

3 = b

y = 3x + 3

point-slope form:

y - 9 = 3(x - 2)

Find the distance between each pair of points. Round to the nearest tenth if necessary.
(-3, 6) (2,1)

Answers

Answer:

The distance between the two points is about 7.1 units.

Step-by-step explanation:

We want to find the distance between the two points (-3, 6) and (2, 1).

To find the distance between any two points, we can use the distance formula:

[tex]\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-3, 6) be (x₁, y₁) and (2, 1) be (x₂, y₂). Substitute:

[tex]\displaystyle d=\sqrt{((2)-(-3))^2+((1)-(6))^2}[/tex]

Simplify:

[tex]\displaystyle d=\sqrt{(5)^2+(-5)^2}[/tex]

Evaluate:

[tex]d=\sqrt{25+25}=\sqrt{25(2)}=5\sqrt{2}\approx 7.1\text{ units}[/tex]

The distance between the two points is about 7.1 units.

Using the approximation of 5 miles = 8 km

How many km is 12.5 miles?

Answers

20 km
12.5 miles = (12.5*8)/5 = 20 km

Answer:

20km is in 12.5miles

Step-by-step explanation:

5miles= 8km

12.5miles=xkm

12.5÷5miles=2.5miles

2.5miles/km

2.5×8km=20km

cross out 3 digits in the number 51489704 so that the number remaining is divisible by 45

Answers

Answer:

1,152

Step-by-step explanation:

So here, we shall be removing random numbers

For ease, since the number is divisible by 45: it is advisable to end the selected number with zero

So we have it that;

we are crossing the first 4, 9 and 7

So, we are left with;

51,840

dividing this by 45 will give 1,152

this is boring
this is hard
i hate stuff that relates to pie
its anouyuibng

Answers

ask a question. will try to help and make it

[tex]easy \: as \: \pi[/tex]

p(x)=x2-1;x=-2 find wheter the following zeroes of the pollynomials are indicated towsrds them​

Answers

Given:

The polynomial is:

[tex]p(x)=x^2-1[/tex]

To find:

Whether [tex]x=-2[/tex] is a zero of the given polynomial or not.

Solution:

If [tex]x=c[/tex] is a zero of a polynomial, then [tex]f(c)=0[/tex].

We have,

[tex]p(x)=x^2-1[/tex]

Putting [tex]x=-2[/tex] in the given polynomial.

[tex]p(-2)=(-2)^2-1[/tex]

[tex]p(-2)=4-1[/tex]

[tex]p(-2)=3[/tex]

Since [tex]p(-2)\neq 0[/tex], therefore [tex]x=-2[/tex] is not a zero of the given polynomial.

Helppppp and explain pls and thankyouuu

Answers

Answer: B

Step-by-step explanation:

multiply all the the sales by 11% and you will get the answers in option b

ex: 1300*0.11=143

Find the scale factor and the value of x. HELP !

Answers

Answer:

k = 5/3

x = 21

Step-by-step explanation:

Here, we have two similar shapes

The scale factor here would be the ratio of the corresponding similar sides

so we have k as 15/9 = 5/3

To find the value of x

When two shapes are similar, the ratio of the sides corresponding are equal

So we have it that;

x/35 = 9/15

= 15 * x = 9 * 35

15x = 315

x = 315/15

x = 21

need help asap plsss!!

Answers

Step-by-step explanation:

13x - 12 = 7x - 6( remaining side of the similar triangle is equal).

What is the mode of the set of numbers {55, 57, 59, 61, 62, 63, 64, 64, 65, 68, 69)

Answers

Answer:

64

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set.  So, just look for the number that appears the most.

I hope this helps!

which statement proves that polygon ABCD is not a rectangle

Answers

Answer:

ummm u did not add the statements to the question

Step-by-step explanation:

but a polygon ABCD might not be a rectangle if:

opposite sides of polygon ABCD are not of equal lengthsall angles of the polygon may not be right angles (90°)opposite sides may not be parallel

Determine if the ordered pair (-1,-5) is a solution to the inequality y<_ -3/4x-1.

A.) No,because (-1,-5) is above the line
B.) Yes, because (-1,-5) is below the line
C.) No, because (-1,-5) is on the line
D.) Yes, because (-1,-5) is on the line

Answers

Answer:

the answer is B, comment if you need explanation

Step-by-step explanation:

The answer is B come in if you need an explanation
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