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

Find the area of this parallelogram.
13 cm
15cm
h
20cm

Answers

Answer:

260 square centimeters

Step-by-step explanation:

The formula for the area of a parallelogram is:

b x h

Where the base (b) is multiplied by the height (h) perpendicular to it.

The base here is 20 cm

The height perpendicular to the base is 13 cm

20 x 13 = 260

Or you can decompose and rearrange it into a rectangle. You will get 20 cm as the length and 13 cm as the width. The answer will be just the same!

Hope this helps!

Answer: 260 cm²

Step-by-step explanation: A parallelogram is a

quadrilateral with two pairs of parallel sides.

The formula for the area of a parallelogram is A = bh.

Since the base of the parallelogram is 20 cm and the height

of the parallelogram is 13 cm, we can plug this information into the formula

to get (20 cm)(13 cm) which gives us 260 cm².

So the area of the parallelogram shown is 260 cm².

f(x)=2x+3/4x+5 find f(-9)

pls solve it ​

Answers

Answer:

15/31

Step-by-step explanation:

substitute -9 were there's x in the function

f(-9)=2(-9)+3/4(-9)+5

=-18+3/-36+5

=-15/-31

the negatives cancel giving you

15/31

true or false? A circle could be circumscribed about the quadrilateral below.

Answers

Answer: the answer is true

Answer:

false

Step-by-step explanation:

here the opposite angle of quadrilateral aren't supplematary the circle have no chance to be circumscribed

5 times the complement of an angle is 15 more than two times the supplement of the angle. Find the angle,
the complement, and the supplement.

Answers

Answer:

The angle measures 25°; the complement measures 65°; the supplement measures 155°.

Step-by-step explanation:

The sum of the measures of two complementary angles is 90.

If the angles measure x and y, then x + y = 90.

Given angle x, then y = 90 - x.

The sum of the measures of two supplementary angles is 180.

If the angles measure x and y, then x + y = 180.

Given angle x, then y = 180 - x.

Let the angle be x.

Its complement is 90 - x.

Its supplement is 180 - x.

5(90 - x) = 2(180 - x) + 15

450 - 5x = 360 - 2x + 15

-3x = -75

Angle: x = 25

Complement: 90 - x = 90 - 25 = 65

Supplement: 180 - x = 180 - 25 = 155

Answer: The angle measures 25°.;, the complement measures 65°; the supplement measures 155°.

is (-3,-5) a solution of the graphed inequality
Choose 1 answer:
Yes
No

Answers

Answer:

No

General Formulas and Concepts:

Algebra I

Reading a coordinate planeCoordinates (x, y)Solving inequalities

Step-by-step explanation:

When we plot (-3, -5) on the coordinate plane, we can see that it is not in the shaded region.

∴ (-3, -5) is not a solution.

The measure of two supplementary angles are (6x+28)° and (7x+87)°. Find the value of x.

Answers

Answer:

[tex]x = - 59[/tex]

Step-by-step explanation:

[tex](6x + 28) = (7x + 87)[/tex]

[tex]6x + 28 = 7x + 87[/tex]

[tex]6x - 7x = 87 - 28[/tex]

[tex]1x = - 59[/tex]

[tex]x = \frac{ - 59}{1} [/tex]

[tex]x = - 59[/tex]

Hope it is helpful....

Pipe A can fill 3 tanks in 8 minutes. Pipe B can fill 5 tanks in 10 minutes. How long will it take for them to fill a single tank if they work together?​

Answers

Answer:

8/7 min  = [tex]1 \frac{1}{7} minutes[/tex]

Step-by-step explanation:

A rate 2 2/3 = 8/3 min per tank

B rate 2 min per tank

thus:

A rate = 3/8 tank per min

B rate = 1/2 tank per min

A+ B =  3/8 + 4/8 = 7/8 tank per min

7/8 x = 1

x = 8/7 min

 

which point is a solution to y>2x-1?

Answers

Answer:

B) (0,2)

Step-by-step explanation:

We substitute the values of x and y into this inequality:

2 ≥ 2(0)-1

2 ≥ 0-1

2 ≥ -1

This is true, so this is the correct point

hope this helps have a good day

Answer:

there it is

Step-by-step explanation:

Help me please ASAP thank you

Answers

Answer:

The first one: 3x+4=-2x-1

Step-by-step explanation:

3(-1)+4=1

-2(-1)-1=1

the answer is A or 3x + 4 = -2x + 1

Which expressions are in simplest form? Check all that apply.​

Answers

a^-9


Because you can simplify the rest the answers

After the increase the price of a rail season ticket from brighton to london was 2828.80 work out the price before this increase

Answers

Answer:

2720

Step-by-step explanation:

Given that,

Price of the ticket = 2828.80

To find,

The price before the increase = ?

Procedure:

Let the price before the increase be x

so,

x(100% + 4%) = 2828.80

⇒ 1.04x = 2828.80

⇒ x = 2828.80 ÷ 1.04

∵ x = 2720

Thus, the price before the increase was 2720.

Evaluate the expression. 37

Answers

Answer:

[tex]2187[/tex]

Step-by-step explanation:

[tex] {3}^{7} \\ = (3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3) \\ = 2187[/tex]

Hope it is helpful....

Answer:

2187

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

81*3=243

243*3=729

729*3=2189

Translate this sentence into an equation. 144 is the product of Diego's age and 9.

Answers

Step-by-step explanation:

Represent Diego's age by d. Then 9d=144.

the maximum mark of 30 student is 100. if its range is 75, find the minimum mark and coefficient of range.​

Answers

Answer:

3000 ................,...

a. 12.4
b. 12.9
c. 8.5
d. 8.1

Answers

It would be c because it djfjfjd. F fjdjfjf

I say 8.5 not sure so c.

PLEASE HELP I'LL MARK BRANLIEST!
Activity Gina is playing dominoes with her family. She and her brother, Greg, are playing as a team (team A) against their parents (team B). The table shows how many points the two teams have scored in each round. Gina is keeping track of the scores and wants to know which measures of center and spread best represent each team’s data.

Team A: 15 20 15 5 10 15 10 15 5 20
Team B: 20 15 25 30 20 25 0 15 25 30

Part B What is the mean score for team A? Show your calculation.

Answers

Answer:

Mean of team A is 13

Step-by-step explanation:

I hope it helps:)

simplify (-81)÷9 pls ans ​

Answers

Answer:

[tex] \frac{ - 81}{9} [/tex]

[tex] - 9[/tex]

Graph a line with a slope of 4 that contains the point (3,0). FOR 100 POINTS PLS

I DONT NEED THE EQUATION I NEED TO SEE IT GRAPHED

ALSO PLEASE PLEASE HELP ME

Answers

Answer:

Hi there!

Recall that slope-intercept form is:

y = mx + b

Where m = slope

In this instance, we are given a slope of 4,

therefore:

y = 4x + b

Substitute in the x and y coordinates of the point given:

0 = 4(3) + b

0 = 12 + b

Substract 12 from both side:

-12 = b

Therefore, the equation would be:

y = 4x - 12

Graph the equation by finding x and y values or using a calculator:

x = 0, y = 4(0) - 12 = 12 (0, 12)

x = 1, y = 4(1) - 12 = - 8 (1, -8)

x = 2, y = 4(2) - 12 = - 4 (2, -4)

x = 3, y = 4(3) - 12 = 0 (3, 0)

And so forth:

Thanks<8

F(x)=sqrt x -4.find the inverse of f(x) and it’s domain

Answers

Answer:

B

Step-by-step explanation:

[tex]y = \sqrt{x } - 4 \\ \sqrt{x} = y + 4 \\ x = (y + 4) {}^{2} \\ [/tex]

Domain of inverse = Range of f = x>-4

Hence B

The correct option is B which is f⁻¹(x) = ( x + 4 )² and x ≥ -4.

What is an inverse function?

The inverse function of a function f in mathematics is a function that reverses the operation of f. If and only if f is bijective, the inverse of f is true.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The given function is f(x) = √x - 4. The inverse function will be calculated as:-

y = √x - 4

√x = y + 4

Squaring on both sides.

x = ( y + 4 )²

Replace x with y.

y = ( x + 4 )²

The range of the function is x ≥ -4.

Therefore, the correct option is B which is f⁻¹(x) = ( x + 4 )² and x ≥ -4.

To know more about an inverse function follow

https://brainly.com/question/3831584

#SPJ5

Find the slope of the line that passes through (1, 2) and (8, 8).

Answers

Answer:

slope = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 8)

m = [tex]\frac{8-2}{8-1}[/tex] = [tex]\frac{6}{7}[/tex]

Hi i need help please
Find the volume of this sphere.
Use 3 for TT.
V
11 in
V ~ [?]in3
V= inr3

Answers

Answer:

So the volume of a sphere is calculated using the formula: [tex]\frac{4}{3} \pi r^{3}[/tex]

r = the radius = 11 inchesπ = 3.14

Substitute in the value of r and solve:

[tex]\frac{4}{3} \pi 11^{3}\\\\=\frac{4}{3} \pi *1331\\\\=\frac{4*3.14*1331}{3}\\\\=5,575.28[/tex]

Which expression has a value of 15 when n = 7?

1: 43 minus 5 n
2: 3 n minus 5
3: 6 n minus 28
4: 19 minus StartFraction 28 Over n EndFraction

Answers

Answer:

[tex]19-\frac{28}{n}[/tex] is the expression with the value of 15 when n = 7

Step-by-step explanation:

To find the expression whose value is 15, substitute the value of n = 7 in each given expression.

Expression 1:

[tex]43-5n[/tex]

Substitute the value of n & simplify,

[tex]43-5(7)[/tex]

[tex]43-35=8[/tex]

Since the value of the expression is 8 which is not equal 15.

Hence expression [tex]43-5n[/tex] does not have value of 15 when n = 7.

Expression 2:

[tex]3n-5[/tex]

Substituting the value of n & simplify,

[tex]3(7)-5[/tex]

[tex]21-5=16[/tex]

Since the value of the expression is 16 which is not equal 15.

Hence expression [tex]3n-5[/tex] does not have value of 15 when n = 7.

Expression 3:

[tex]6n-28[/tex]

Substituting the value of n & simplify,

[tex]6(7)-28[/tex]

[tex]42-28=14[/tex]

Since the value of the expression is 14 which is not equal 15.

Hence expression [tex]6n-28[/tex] does not have value of 15 when n = 7.

Expression 4:

[tex]19-\frac{28}{n}[/tex]

Substituting the value of n & simplify,

[tex]19-\frac{28}{7}[/tex]

[tex]19-4=15[/tex]

Since the value of the expression is 15 which is equal 15.

Hence expression [tex]19-\frac{28}{n}[/tex] has the value of 15 when n = 7.

Write the following phrase as an expression c less than 27
A C +27
B C -27
C c/27
D 27 - C

Answers

Answer:

(D) 27 - C

Step-by-step explanation:

The "less than" means we are subtracting C from 27, so 27 - C.

Hope it helps (●'◡'●)

Two exponential functions are shown in the table.
х
f(x)=2*
g(x)=
1
2
2
4
1
4
Which conclusion about f(x) and g(x) can be drawn from
the table?
O The functions f(x) and g(x) are reflections over the x-
axis.
O The functions f(x) and g(x) are reflections over the y-
axis.
O The function f(x) is a decreasing function, and g(x) is
an increasing function.
O The function f(x) has a greater initial value than g(x).
1
2
OT
1
2
1
2
1
1
2
1
4
-2.
4

Answers

Yep exponential functions are shown in the answer 2

The true statement about the exponential functions is (b) the functions f(x) and g(x) are reflections over the y-axis.

The functions are given as:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = (\frac 12)^x[/tex]

Reflect function over the y-axis.

The rule of this transformation is:

[tex](x,y)\to (-x,y)[/tex]

So, we have:

[tex]f(x) = 2^x[/tex]

[tex]f'(x) = 2^{-x}[/tex]

Apply power rule of indices

[tex]f'(x) = (\frac{1}{2})^x[/tex]

By comparison:

[tex]g(x) = f'(x) = (\frac{1}{2})^x[/tex]

Hence, the functions f(x) and g(x) are reflections over the y-axis.

Read more about function transformation at:

https://brainly.com/question/1548871

What is the explicit formula for this sequence?
7, 2, -3, -8...

Answers

Answer:

The explicit formula of that sequence is T - 5

Step-by-step explanation:

Let T represent each term in the sequence. So now try replacing T with each term in the sequence. Like this ;

7 - 5 = 2

2 - 5 = -3

-3 - 5 = -8

hope this helps

In the diagram, what is AC?

Answers

find the DB =[tex]\displaystyle\bf \sqrt{17^2-8^2} =15[/tex]  ; now find AD=AB-DB=21-15=6  .Then                AC=[tex]\displaystyle\bf \sqrt{AD^2+CD^2} =\sqrt{6^2+8^2} =10[/tex]  

Answer:

C

Step-by-step explanation:

Using Pythagoras' identity in both right triangles

To find BD

BD² + CD² = BC²

BD² + 8² = 17²

BD² + 64 = 289 ( subtract 64 from both sides )

BD² = 225 ( take the square root of both sides )

BD = [tex]\sqrt{225}[/tex] = 15

Then

AD = AB - BD = 21 - 15 = 6

To find AC

AC² = AD² + CD²

AC² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

AC = [tex]\sqrt{100}[/tex] = 10 → C

According to a survey of 1000 families of any town in 2010 A.D.,794 families have radio and 187 families have television.lf 63 families do not have any one of them,then how many families will have both radio and television?Find it.​

Answers

Answer:

Number of families will have both radio and television = 44

Step-by-step explanation:

Given:

Number of family have radio = 794

Number of family have TV = 187

Number of family haven't both = 63

Find:

Number of families will have both radio and television

Computation:

Number of families will have Tv or radio = 1,000 - 63

Number of families will have Tv or radio = 937

Number of family have one of them = 794 + 187

Number of family have one of them = 981

Number of families will have both radio and television = 981 - 937

Number of families will have both radio and television = 44

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Step-by-step explanation:

The solution and answer are well written in the Pic above.

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?

Answers

Answer:  28/45

Explanation:

Angle E is 90 degrees. The segment DC = 53 is opposite this angle. Note how "DC" does not contain the letter "E". Furthermore, note how this is the largest side. So it's the hypotenuse.

The side ED = 28 is the opposite side of reference angle C, because "C" is nowhere to be found in the sequence "ED".

The side CE = 45 is the adjacent side because "E" is found in "CE".

The tangent ratio is...

tan(angle) = opposite/adjacent

tan(C) = ED/CE

tan(C) = 28/45

After substituting, what is the first step when evaluating vegy 4 2 when x 6?
O Multiply 3 by 5
O Add 5 and 3
Subtract 4.2 from 5
Add 3 and 4.2 hurry I'm being timedd!!!

Answers

Answer:

Multiply 3 by 5

Step-by-step explanation:

After substituting, what is the first step when evaluating x+3x-4.2 when x=5

Given:

x + 3x - 4.2

when x = 5

Substitute x = 5 into the expression

x + 3x - 4.2

= 5 + 3(5) - 4.2

= 5 + 15 - 4.2

= 20 - 4.2

= 16.8

x + 3x - 4.2, when x = 5 is 16.8

After substituting, the first step when evaluating x + 3x - 4.2 when x = 5 is Multiply 3 by 5

Other Questions
what are the effects of the terms of the contract in a contract of employment Although neither ________ nor the ________ is officially set by the Federal Open Market Committee, decisions concerning these policy tools are effectively made by the committee. A. margin requirements; discount rate B. margin requirements; federal funds rate which sentence is best structured to combine ideas of equal importance when they include at least one unequal element? A. my daughter is allergic to peanuts.B. some argue that all peanut products should be removed from schools, but others feel that peanuts are a nutritious food that should be available to students and that those who are allergic can find ways to avoid contact with the nuts. C. My daughter is allergic to peanuts, but she can eat other types of nuts.D. Although nuts are healthy for most people, they can cause allergic reactions in others. The pKa of an acid can be determined through _____ (reduction, titration, filtration) with a strong base. Gradually increase the volume of the base, stopping _____ (before, as, after) the equivalence point is reached. The pKa of the acid is equal to the pH at the _____ (equivalence point, midway volume to the equivalence point, maximum volume). All of the following safety tips are true EXCEPT Select one: a. It is not acceptable to handle broken glass with your bare hands b. It is acceptable to grasp the electrical cord when removing an electrical plug from its socket c. It is not acceptable to immerse hot glassware in cold water d. It is not acceptable to reuse dirty glassware Which process is the one that starts all things off by generating glucose from sunlight? photosynthesis cellular respiration aerobic respiration A succession of items displayed in sequence to indicate definite steps, or chronology is a _______________. Solve the equation 2sin^2(x) = 1 for x [-,], expressing all solutions as exact values. please help its urgent !! if$3=2 and Rs. 325=$3, how many pound() will be equal to Rs. 39000 9.I've been called the storage tankBy those with little tasteI'm a sack filled with water,Food, enzymes, and wasteWhat am I?A)Golgi Body (Complex)B)Endoplasmic ReticulumC)NucleusD)Ribosomes E)Cell membraneF)Cell wallG)VacuoleH)LysosomesI)VesiclesJ)ChloroplastK)ChromosomesL)Mitocondria not a school-related question:Best places to get ripped jeans or just skinny/curvy jeans What impact does mixed migration have on migrants? "Nepal is a country rich in social tradition."Justify the statement forte ang antas ng boses ng nanay na nagpapatulog ng sanggol You have a Windows 2016 Server with DFS. During normal operation, you recently experience an Event 4208. What should you do first to address this issue Which of the following must be equal to 30% of x?3x(A)1,0003x(B)1003x(C)10(D) 3x You are to receive the following payments at the end of the following periods: Year 1 : $250 Year 2: $300 Year 3: $450The interest rate is 15% per year.Required:What is the future value of these cash flows 20 years from now? cover your mouth isnt something to joke about Which of the following would BEST fit into the category of a social bill? A.a new law against public smokingB.a new law for military spendingC.a new law for taxing American citizensD.a new law for funding welfare programsPlease select the best answer from the choices providedABCD the volume of a rectangular pyramid with a length of 7 feet, a width of 6 feet, and a height of 4.5 feet. Complete with the conditional form of ir. Dnde ____________________ t?