URGENT!

Write the equation of the ellipse graphed below.

I already asked this question but still no answer, sadly.

URGENT! Write The Equation Of The Ellipse Graphed Below. I Already Asked This Question But Still No Answer,

Answers

Answer 1

\Answer:

[tex]\displaystyle \frac{(x-7)^2}{4}+\frac{(y+2)^2}{36}=1[/tex]

Step-by-step explanation:

Equation of The Ellipse

Given the center (h,k) and the length of the major and minor axis, we can write the equation of the ellipse as follows:

[tex]\displaystyle \frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

If the major axis is a, then the ellipse is horizontal, if the major axis is b, then the ellipse is vertical.

The ellipse shown in the figure is centered at (7,-2). The major axis is b and it can be found by measuring the distance from the center up or down to any vertex. We find b=6 and a=2.

Thus, the equation of the ellipse is:

[tex]\displaystyle \frac{(x-7)^2}{2^2}+\frac{(y+2)^2}{6^2}=1[/tex]

Operating:

[tex]\mathbf{\displaystyle \frac{(x-7)^2}{4}+\frac{(y+2)^2}{36}=1}[/tex]


Related Questions

At Max party,3/12 of the guests are 10 years old and 7/12 of the guests are 11 years old. What fraction of the guests are 10 or 11 years old.

Answers

Answer:

10/12

Step-by-step explanation:

3/12 + 7/12 = 10/12

SHORT ANSWER: What is the volume of the irregular shaped prism? Explain how you found its volume. Use ACE! (Answer, Computation, Explain)

Answers

Answer:

Total volume = 355 cm³

Step-by-step explanation:

Volume of the irregular prism = volume of part A + volume of part B

Volume of part A which is also a rectangular prism = Length × width × height

= (11 - 5) × 5 × 6

= 6 × 5 × 6

= 180 cm³

Volume of rectangular prism B = 5 × 5 × (6 + 5)

                                                   = 5 × 5 × 11

                                                   = 275 cm³

Total volume = 180 + 175

                      = 355 cm³

Dakota has 14 chocolates, 9 candies and 12 strawberries.
Find the integer that represents the total number of things that Dakota has.

Answers

Answer:

35

Step-by-step explanation:

14 + 9 + 12= 35

if 3 bars of chocolate cost $15.00 ghana cedis how much will 7 bars cost ratio

Answers

Answer:

7 chocolate bars will cost $35

Step-by-step explanation:

if 3 cost $15 then 1 bar would cost 5 dollars and 5x7=35

here is a ratio:

3 = 7

15 = 35

Anna is x years old and her sister is 5 years older. How old was her sister 5 years ago?

Answers

Answer:

Step-by-step explanation:

if anna is x years old and her sister is 5 five years older the eqasion would be x=5-5x but there is no further information for the answer. You need to know how old anna is to answer the question. Did you write it correctly

Answer:

It's X

Step-by-step explanation:

Because We know that Anna is X, and we also know that she is 5 years younger we know that her sister's age must be x, as it is asking for her age 5 years ago.

please helppp-------------------------------

Answers

The answer is b. It’s B because 28 is more

Answer:

c

Step-by-step explanation:

b + 12 < 3 ( subtract 12 from both sides )

b < - 9 ← Lola's solution

- 3b > 27

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

b < - 9 ← Jasmine's solution

Van purchased a DVD player on sale. The original selling price was
$175,90. The sale price was $141.37. What is the first step in finding the percent markdown? Find the
percent markdown,
What is the first step in finding the percent markdown?

Answers

Answer:The percent decrease was 15%

Step-by-step explanation:

In order to find this, use the percent change equation.  

(New - Old)/(Old) * 100 = % Change

Now input 149.42 for the New price and 175.80 for the Old price.  

(149.42 - 175.80)/(175.80) * 100 = % Change

-26.38/175.80 * 100 = % Change

-.15 * 100 = % Change

-15 = % Change

Step-by-step explanation:

Find the value of x for which ABCD must be a parallelogram.

If your answer is not a whole number, write your answer in fractional form as a/b.​

Answers

Answer:

[tex]x = \frac{5}{3}[/tex]

Step-by-step explanation:

Parallelogram

It's a quadrilateral formed by two pairs of parallel sides. The opposite sides have equal lengths.

We are given a parallelogram with opposite sides of 3x+1 and 6x-4. They must be equal, thus:

6x - 4 = 3x + 1

Subtracting 3x:

3x - 4 = 1

Adding 4:

3x = 5

Dividing by 3:

[tex]\mathbf{x = \frac{5}{3}}[/tex]

In triangle ABC, what is the measure of b if a = 6, C = 4,
and B = 75°?

A. 5.64
B. 6.29
C. 6.78
D. 7.02

Answers

Given:

In triangle ABC,  a = 6, c = 4, and B = 75°.

To find:

The measure of b.

Solution:

According to the Law of Cosine:

[tex]b^2=a^2+c^2-2ac\cos B[/tex]

Substituting the given values in the above formula, we get

[tex]b^2=(6)^2+(4)^2-2(6)(4)\cos (75^\circ)[/tex]

[tex]b^2=36+16-48(0.2588)[/tex]

[tex]b^2=52-12.4224[/tex]

[tex]b^2=39.5776[/tex]

Taking square root on both sides, we get

[tex]b=\sqrt{39.5776}[/tex]

[tex]b=6.291073[/tex]

[tex]b\approx 6.29[/tex]

The measure of side b is 6.29 units.

Therefore, the correct option is B.

Pand Q are points on the line
3x + 2y = 6
(a)
Complete the coordinates of P and Q.

Answers

Answer:

you are multiplying baceicly

Step-by-step explanation:

3×2=6

What is the measurement of PR

Answers

Answer:

2.1/////_____\\\\\\

Step-by-step explanation:

hope this helps

-2n + 1.8 = 3.2
What value of n makes the equation true?

Answers

Answer:

1.4

Step-by-step explanation:

$_$

Answer:

I think its -4

Step-by-step explanation:

Write an equation for :

Three times a number decreased by five is equal to twenty five.

Answers

Answer:

3x-5=25

Step-by-step explanation:

Simplify 7-5x-(3+5x)

Answers

Answer:

4-10x

Step-by-step explanation:

Hey there!

7 - 5x - (3 + 5x)

= 7 - 5x - 1(3 + 5x)

= 7 - 5x -1(3) - 1(5x)

= 7 - 5x - 3 - 5x

COMBINE the LIKE TERMS

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

= -10x + 4

Therefore, your answer should be: -10x + 4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Determine the value of each expression.
i2 =

Answers

=-2i
you flip it to the reciprocal which would be -2i

Please help me with the following math question:
Amelia goes to Macy’s and buys a pair of shoes. The shoes are $115.95 on sale for 30% off. What is the total she will pay with 6% sales tax included?

Answers

Answer:

$86.03

Step-by-step explanation:

30% off = 70% of total price. Add .06 to 1 for 6% sales tax.

($115.95*(.70))*1.06

= $86.03

please help me pleaseeee

Answers

Answer:

.45

Step-by-step explanation:

52+31=83

83-12=71

71+23=94

94=49=45

HELP ME I NEED HELP PLEASE I HATE MATH

Answers

Answer:

The first one is X=5.

The second one is X=8

Hope this helps!

The first one is x = 5

The second one is x = 8

Hope this helps you okay

Pls give me BRAINLIEST too pls pls pls pls

1. What is the equation in point-slope form of the line that has a slope of 1/3 and passes through the point (12, 5)?
2. What is the equation in point-slope form of the line that has a slope of -4 and passes through the point (0, -8)?
3. What is the equation in point-slope form of the line that has a slope of -4 and passes through the point (0, -8)?

Answers

Answer:

45

Step-by-step explanation:

because the mass

Write an
equation of the line with a slope of 0 and y-intercept of 5.

Y=

Plz help

Answers

Answer:

y = 5

Step-by-step explanation:

The equation is:

y = 0*x + 5

y = 5

Note that this is a horizontal line ()slope of 0) and that y=5 for every value of x.

Fred has 5 3/4 feet of yarn he will use 1/8 foot of yarn for each decoration he makes what's the greatest number of decorations can Fred make

Answers

Answer: Tthe greatest number of decorations can Fred make = 46

Step-by-step explanation:

Total yarn = [tex]5\dfrac34[/tex] feet [tex]=\dfrac{23}{4}[/tex] feet

Yarn required for each decorartion = [tex]\dfrac18[/tex] foot

The greatest number of decorations can Fred make = (Total yarn) ÷ (Yarn required for each decorartion)

[tex]=\dfrac{\dfrac{23}{4}}{\dfrac{1}{8}}\\\\\\=\dfrac{23}{4}\times8\\\\=23\times2\\\\=46[/tex]

Hence, the greatest number of decorations can Fred make = 46

Solve using elimination.
X + 8y = 3
2x – 4y = -14

Answers

Answer:

X+8y=3, 2x-4y=-14

Step-by-step explanation:

Since we do not know the values of x or y we have to leave them the way they are because you can't combine x and y

Expand.
Your answer should be a polynomial in standard form.
(x + 1)(x+8)
Stuck? Watch a video or use a hint.

Answers

Answer:

[tex]x^{2} +9x+8[/tex]

Step-by-step explanation:

Multiply using the terms using the FOIL (first, inside, outside, last) method.

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

1 (x) = 1x

8 (x) = 8x

1 (8) = 8

After combining like terms (1x + 8x) you are left with a polynomial expression in standard form.

The owner of a small store buys coats for ​$55.00 each. Answer parts a and b.
a. She sells the coats for ​$77.00 each. What percent of the purchase price is the sale​ price?

Answers

Answer:

120

Step-by-step explanation:

120 =1233

100= mk109

What is an equation of the line that passes through the points (-7,3) and (-4,3)?

Answers

Answer:

Step-by-step explanation:

Slope = 0

y-y1=m(x-x1)

y-3=0

y = 3

Find the mean of the data in the dot plot below.

Answers

Mean - add them all up =15
Count how many there are in total =6
Divide it by that amount = 15/6= 2.5

Answer:

2.5

Step-by-step explanation:

1+2+3+4 = 10

10 divided by 4 is 2.5

Please help me solve this. And please include explanation​

Answers

Answer: B

Step-by-step explanation:

I NEED HELP PLEASE !!!

Answers

The answer is C, “BC = EC”

Using polar coordinates, evaluate the integral which gives the area which lies in the first quadrant below the line y=5 and between the circles x2+y2=100 and x2−10x+y2=0.

Answers

First, complete the square in the equation for the second circle to determine its center and radius:

x ² - 10x + y ² = 0

x ² - 10x + 25 + y ² = 25

(x - 5)² + y ² = 5²

So the second circle is centered at (5, 0) with radius 5, while the first circle is centered at the origin with radius √100 = 10.

Now convert each equation into polar coordinates, using

x = r cos(θ)

y = r sin(θ)

Then

x ² + y ² = 100   →   r ² = 100   →   r = 10

x ² - 10x + y ² = 0   →   r ² - 10 r cos(θ) = 0   →   r = 10 cos(θ)

y = 5   →   r sin(θ) = 5   →   r = 5 csc(θ)

See the attached graphic for a plot of the circles and line as well as the bounded region between them. The second circle is tangent to the larger one at the point (10, 0), and is also tangent to y = 5 at the point (0, 5).

Split up the region at 3 angles θ₁, θ₂, and θ₃, which denote the angles θ at which the curves intersect. They are

θ₁ = 0 … … … by solving 10 = 10 cos(θ)

θ₂ = π/6 … … by solving 10 = 5 csc(θ)

θ₃ = 5π/6  … the second solution to 10 = 5 csc(θ)

Then the area of the region is given by a sum of integrals:

[tex]\displaystyle \frac12\left(\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\}\left(10^2-(10\cos(\theta))^2\right)\,\mathrm d\theta+\int_{\frac\pi6}^{\frac{5\pi}6}\left((5\csc(\theta))^2-(10\cos(\theta))^2\right)\,\mathrm d\theta\right)[/tex]

[tex]=\displaystyle 50\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\} \sin^2(\theta)\,\mathrm d\theta+\frac12\int_{\frac\pi6}^{\frac{5\pi}6}\left(25\csc^2(\theta) - 100\cos^2(\theta)\right)\,\mathrm d\theta[/tex]

To compute the integrals, use the following identities:

sin²(θ) = (1 - cos(2θ)) / 2

cos²(θ) = (1 + cos(2θ)) / 2

and recall that

d(cot(θ))/dθ = -csc²(θ)

You should end up with an area of

[tex]=\displaystyle25\left(\left\{\int_0^{\frac\pi6}+\int_{\frac{5\pi}6}^{2\pi}\right\}(1-\cos(2\theta))\,\mathrm d\theta-\int_{\frac\pi6}^{\frac{5\pi}6}(1+\cos(2\theta))\,\mathrm d\theta\right)+\frac{25}2\int_{\frac\pi6}^{\frac{5\pi}6}\csc^2(\theta)\,\mathrm d\theta[/tex]

[tex]=\boxed{25\sqrt3+\dfrac{125\pi}3}[/tex]

We can verify this geometrically:

• the area of the larger circle is 100π

• the area of the smaller circle is 25π

• the area of the circular segment, i.e. the part of the larger circle that is bounded below by the line y = 5, has area 100π/3 - 25√3

Hence the area of the region of interest is

100π - 25π - (100π/3 - 25√3) = 125π/3 + 25√3

as expected.

C=S + 16
The variable s represents the number of additional sticks of butter Max buys, and the variable
c represents the total number of cakes he can bake. How many additional sticks of butter
does Max need in order to bake a total of 17 cakes?

Answers

I’m pretty sure it’s 1 you would do 17=s+16 and you would get 1.
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