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Answer:

The equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Step-by-step explanation:

The statement is incomplete, the most probable outcome may be the equation of the ellipse based on information given.

The equation of an ellipse whose major axis is vertical and is centered at a point different from origin is defined by:

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

Where:

[tex](h,k)[/tex] - Coordinates of the center of the ellipse.

[tex](x,y)[/tex] - Coordinates of a point in the line of the ellipse.

[tex]a[/tex] - Length of the major semiaxis.

[tex]b[/tex] - Length of the minor semiaxis.

The coordinates of the center of the ellipse is midpoint of the segment between vertices, which are collinear with foci:

[tex](h,k) = \frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2}(x,y)[/tex] (1)

Where [tex]V_{1} (x,y)[/tex] and [tex]V_{2} (x,y)[/tex] are the coordinates of the vertices.

If we know that [tex]V_{1} (x,y) = (2,0)[/tex] and [tex]V_{2} (x,y) = (2, 20)[/tex], then the coordinates of the center ellipse are:

[tex](h,k) = (2, 10)[/tex]

The length of the semimajor axis can be determined by using the following vectorial expression, which is equivalent to the Pythagorean Theorem:

[tex]a = \sqrt{[(h,k)-V_{1}(x,y)]\,\bullet\,[(h,k)-V_{1}(x,y)]}[/tex] (2)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]V_{1} (x,y) = (2,0)[/tex], then the length of the semimajor axis is:

[tex]a = \sqrt{(2-2)^{2}+(10-0)^{2}}[/tex]

[tex]a = 10[/tex]

And the length of the minor semiaxis is found by means of this Pythagorean identity:

[tex]b = \sqrt{a^{2}-c^{2}}[/tex] (3)

Where [tex]c[/tex] is the length between the center and any of the foci. This distance can be found by using this vectorial formula:

[tex]c = \sqrt{[(h,k)-F_{1}(x,y)]\,\bullet\,[(h,k)-F_{1}(x,y)]}[/tex] (4)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]F_{1} (x,y) = (2,4)[/tex], then the length between the center and any of the foci is:

[tex]c = \sqrt{(2-2)^{2}+(10-4)^{2}}[/tex]

[tex]c = 6[/tex]

And the length of the minor semiaxis is:

[tex]b = \sqrt{10^{2}-6^{2}}[/tex]

[tex]b = 8[/tex]

FInally, the equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Answer:

352.7 m

Step-by-step explanation:

Distance from the cliff 2000m

Angle = 10°

How tall is the cliff?

We solve the above question using the trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = x

Adjacent = 2000m

θ = 10°

Hence:

tan 10 = x/2000m

Cross Multiply

x = tan 10 × 2000m

x = 352.65396142 m

Approximately = 352.7 m

The cliff is 352.7 m tall

Answer:

17

Step-by-step explanation:

-32 and 32 get cancel

and the answer is 17

Answer:

y=7

Step-by-step explanation:

x=3

Answer:

Heres one

c = 5 + 1.5t

Step-by-step explanation:

Let t represent the number of toppings

and c represent the total cost of the pizza

Answer:

Total students = 1240

Step-by-step explanation:

Given that,

Number of boys: number of girls=11:9

[tex]\dfrac{x}{y}=\dfrac{11}{9}\\\\9x=11y[/tex] ......(1)

There are 124 more boys than girls i.e.

x = 124+y .....(2)

Put the value of x from equation (2) in equation (1). So,

9(124+y) = 11y

1116 +9y = 11y

1116 = 2y

y = 558

Put the value of y in equation (2).

x = 124+558

x = 682

Total students = x+y

= 682+558

= 1240

So, there are 1240 students at the school.

Answer: 5.7p + 10

Step-by-step explanation:

From the question, we are given the information that when ringing up a customer, the cashier will need 10 seconds to process the payment and 5.7 seconds to scan every item that are purchased.

The equation that shows the relationship between the items being purchased, p, and the time, t will then be:

= 5.7p + 10

Answer:

(x-2)*(x-9)

Step-by-step explanation:

hope this helps!!

Answer:

$6500

Step-by-step explanation:

Given data

Monthly Earnings= $4500

Commission= 4%

Sales= $50000

Let us find the amount of the commission

=4/100*50000

=0.04*50000

= $2000

Since the monthly earning is $4500, hence the total earning is

=2000+4500

=$6500

Answer:

[tex]0 < 0.99 < 1[/tex]

Step-by-step explanation:

Given

[tex]Number = 0.99[/tex]

Required

Determine the interval which it belongs

The given number is less than 1

i.e.

[tex]0.99 < 1[/tex]

And it is greater than 0.

[tex]0.99 > 0[/tex]

So, the number is located between 0 and 1

i.e.

[tex]0 < 0.99 < 1[/tex]

Answer:

x=30

m<G

3(30)-17

73

m<H

x+13

43

Step-by-step explanation:

Answer:

m∠G = 73°

m∠H = 43°

Step-by-step explanation:

Use the exterior angle theorem. The exterior angle theorem states that the exterior angle's measurement will be the sum of the two opposite interior angles. Set the equation:

(3x - 17) + (x + 13) = 116

First, combine like terms by simplifying:

3x + x - 17 + 13 = 116

4x - 4 = 116

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, add 4 to both sides of the equation:

4x - 4 = 116

4x - 4 (+4) = 116 (+4)

4x = 116 + 4

4x = 120

Next, divide 4 from both sides of the equation:

(4x)/4 = (120)/4

x = 120/4

x = 30

Plug in 30 for x for each angle measurement:

m∠G = 3x - 17

m∠G = 3(30)  -17

m∠G = 90 - 17

m∠G = 73°

m∠H = x + 13

m∠H = 30 + 13

m∠H = 43°

Check:

180 - 73 - 43 = 64 (Summation of a triangle's angle).

180 - 64 = 116 (Theorem of line).

Answer:

-"My step-dad's punch packs a wallop!"

-"The stars shining in the night sky were luminous."

-"The two diametrically opposed viewpoints of ketchup and mustard have been on war for decades."

Answer:

wallop:

daneil crashed on the floor with a wallop

diametrically:

"I regret to say we're diametrically opposed to your ideas", Jessica said to john

luminous:

i have a luminous clock in my room

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Let r, g and c be the scores of, respectively, Rose, Garcia and Curran.

We know that

[tex]r + g + c = - 32 \\ r = - 9 \\ g = - 15[/tex]

Thus

[tex] - 9 - 15 + c = - 32 \\ - 24 + c = - 32 \\ c = - 8[/tex]

Answer:

Break it into 2 sections: 18 by 3 and 6 by 20

area = 54 + 120

= 174 (answer is A.)

Step-by-step explanation:

9514 1404 393

Answer:

  A.  174

Step-by-step explanation:

Use your number sense. The area can be no larger than the rectangle that is 20 high and 9 wide. That rectangle's area is ...

  A = LW = (20)(9) = 180

The only answer choice smaller than 180 is ...

  A.  174 . . . . . square units

__

If you want to compute it exactly, you can make note of the size of the empty space at the upper left corner. That space is 20-18 = 2 units high and 9-6 = 3 units wide. Its area is A = LW = (3)(2) = 6 square units. When that empty space is subtracted from the overall rectangle area, the result is ...

  180 square units - 6 square units = 174 square units.

Answer:

Step-by-step explanation:

Area = 1/2 (base)  (height)           I don't know what the numbers provided

                                                     represent in this problem.  They colud be

                                                     the base and height or they could be two

                                                     of the three sides.

Answer:

10178.7602

Step-by-step explanation:

Volume of cylinder= π·r^2·h = π·9^2·40 ≈ 10178.7602

if 18 is the diameter than 9 would be the radius. to make the formula easier.

Answer:

True. It is true.

Answer:

True

Step-by-step explanation:

They both have vacuoles but the vacuoles are much larger in plant cells than animal cells.

Answer:

27

Step-by-step explanation:

If this is a right angle triangle, we will do this.

45^2 - 36^2 =

√729 = 27

Therefore, the missing leg = 27

Hope that helps!

Answer:

Question 9

Name the ordered pairs in the table: 3, 4, 5, 6, 7

Ordered pairs: (1,3), (2,4), (3,5), (4,6), (5,7)

Graph the equation: the attachment

Step-by-step explanation:

I don't know how to do questions 11 and 12.

Also sorry if these aren't correct.

Answer:

dont listen to person above me . it's a scam

3, 2.91, -0.3, -0.9, -1.01,

Answer:

A = 70 units²

Step-by-step explanation:

Since all 4 sides are congruent then figure is a rhombus

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals )

Here d₁ = 7 + 7 = 14 and d₂ = 5 + 5 = 10 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 10 = 7 × 10 = 70 units²

Answer:

all of these are right angled triangle. so u can use pythagoras theorem, h²=p²+b²

longest side is called hypotenious (h)

and u can assume any of the remaining side as p and b as your choice

eg=

1) h=13

p=12

b=?

using pythagrous theroem

h²=p²+b²

13²=12²+b²

169= 144+b²

169-144=b²

25=b²

25 is the square root of 5 so

5²=b²

square root of each side will be cancelled so

b = 5

In this way u can solve your questione.....

Answer:

1.

[tex] {h}^{2} = {p }^{2} + {b}^{2} [/tex]

[tex] {13}^{2} \: = {12}^{2} + {b}^{2} [/tex]

[tex] {b}^{2} = {13}^{2} - {12}^{2} [/tex]

[tex] {b }^{2} = 169 - 144[/tex]

[tex] {b}^{2} = 25/tex]

[tex]b = \sqrt{25} [/tex]

[tex]b = 5[/tex]

hope this helps you all of your question's is base on the formula given above

mark me as brainliest pls

Answer:

D. 45

Step-by-step explanation:

(40+50)/2 = 45

sadly my answer has deleted here

Answer:

U GOT TO KNOW THE ANGLE

Step-by-step explanation:

Answer:

BC= 35

Step-by-step explanation:

trigonometry is used as its a right angle triangle, use the formula : a² + b² = c²

Answer:

270 degrees

Step-by-step explanation:

[tex]Area \: of \: the \: sector \\ \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 {(12)}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 \times 144 \\ \\ \theta = \frac{339.3 \times 360 \degree}{3.14 \times 144} \\ \\ \theta = \frac{122,148\degree}{452.16} \\ \\ \theta= 270.143312 \degree \\ \\ \theta \approx \: 270\degree[/tex]

Answer:

4

Step-by-step explanation:

Answer:

Hi! The answer to your question is C. 4

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka