Given two strings, each extending from a different focus to a common point on an ellipse, what is the relationship
between the two points?
A. They are collinear.
B. They have the same slope.
C. The sum of their lengths is equal to the length of the major axis.
D. The difference of their lengths is equal to the length of the minor axis.

Answer:

5.5

Step-by-step explanation:

Let [tex]x[/tex] be equal to the number.

1) Convert the clues into an equation

If you double it ([tex]2x[/tex]) and subtract two ([tex]-2[/tex]), you get 9 ([tex]=9[/tex]).

[tex]2x-2=9[/tex]

2) Solve the equation

[tex]2x-2=9[/tex]

Add 2 to both sides

[tex]2x-2+2=9+2\\2x=11[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{11}{2} \\x=5.5[/tex]

Therefore, the number is 5.5.

I hope this helps!

Answer:

Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 8 1/6 / 1 7/8 = 196/

45

= 4 16/

45

≅ 4.3555556

hope this helps you

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

x-2

Step-by-step explanation:

(x+2)× ___=(x+2)(x-2)

___=(x+2)(x-2)/(x+2)

___=x-2

The polynomial which should be filled in the blank is (x - 2).

Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given that,

x² - 4 = (x + 2) (x - 2).

We have to find the blank space.

By commutative property, the other side is also equal.

That is,

(x + 2) (x - 2) = x² - 4

Hence the correct option is (x - 2).

Learn more about polynomials here :

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Answer:

Step-by-step explanation:

Answer:

2.3 hours or 2 hours and 30 minutes thinkkk

Answer:

20

Step-by-step explanation:

The total degrees in a circle is 360 degrees

x+40+2x+110+3x+90 = 360

==> 6x = 120

x = 20

Answer:

The answer would be x=20

Answer:

2 cm is were youll find the polygon at. it shouldnt be hard to see the area of were the polygon is

Answer:

208 cm²

Step-by-step explanation:

14 cm × 16 cm = 224 cm²

14 cm - 6 cm = 8 cm

8 cm × 2 cm = 16 cm²

224 cm² - 16 cm² = 208 cm²

Answer:

the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160

the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216

the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152

Step-by-step explanation:

Hi there, it wont let me leave this page without posting a answer and I don't have an answer. I dont know why it wont let me.. So I thought instead of just posting a blank answer I would give you an explination for my actions. I am not doing this on purpose or for points im just trying to help others.. If you want you can reply back to my comment and I will give you 10 coins. Since I did just take 5 of yours, and it seems only fair. Again my apoligizes.

Answer:

Perimeter of rectangle = 4x + 80

Area = x² + 40x + 384

Step-by-step explanation:

Perimeter of rectangle = 2*(length + width)

                                      = 2* (x + 24 + x + 16)

                                      = 2*( x +x + 24 + 16)    {Combine like terms}

                                      = 2* (2x + 40)

Use Distributive property : a*(b +c) = a *b + a*c

                                     = 2*2x + 2*40

                                     = 4x + 80

Area of rectangle = length * width

                             = (x + 24) (x + 16) {use FOIL method}

                            = x*x + x*16 + 24*x + 24*16

                             = x² + 16x + 24x + 384  {Combine like terms}

                             = x² + 40x + 384

Answer:

23

Step-by-step explanation:

The number of points that she would need to score in her 12th game in order to decrease the interquartile range by 1 point is; 23

An interquartile range is one of the measure of variability that measures the spread of middle 50% of the data.

The formula to calculate interquartile range is:

IQR = Q₃ - Q₁

where;

Q₃ is third quartile

Q₁ is first quartile

The given points when arranged in increasing order gives us:

13, 15, 17, 18, 20, 20, 21, 22, 24, 25,27

Q₁ is the (n + 1)/4 terms = 3rd term.

Thus; Q₁ = 17

Q₃ is 3(n + 1)/4 term = 9th term.

Thus; Q₃ = 24

Then; IQR = 24 - 17

IQR = 7

The desired interquartile range should decrease by 1 point. Thus;

Desired IQR = 7 - 1 = 6.

To find the score of the 12th game, let us try  23 points as the score of the 12th game:

Thus;

Q₁ = 17.5

Q₃ = 23.5

IQR = 23.5 - 17.5

IQR = 6

Thus, required number of points is 23.

Read more about Interquartile Range at; https://brainly.com/question/3859769

Answer:

Step-by-step explanation:

you do 10/2 for the radius, so that will be 5. then you do 3.14*5*5= 78.5

Answer:

The amount of apples is the Xs and The cost is the Ys

Step-by-step explanation:

Answer:

D.40.96

Step-by-step explanation:

1-.01×2=.02

2-.02×2=.04

3-.04×2=.08

4-.08×2=.16

5-.16×2=.32

6-.32×2=.64

7-.64×2=1.28

8-1.28×2=2.56

9-2.56×2=5.12

10-5.12×2=10.24

11-10.24×2=20.48

12-20.48×2=40.96

Answer: g(x)=3f(x)

Step-by-step explanation:

So we know it isnt a translation. Which eliminates the first 2 answer choices. So its between the last 2. If it were 1/3 the grap would have been steeper.

I hope this helps!

Answer:

Ramon would need 27 bags

Step-by-step explanation:

This is because if you divide 6.75 by 0.25 you would get 27

Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.

To determine the number of 0.25 kg bags Ramon needs for his 6.75 kg coffee, we divide the total weight of the coffee by the weight of each bag.

Total weight of coffee = 6.75 kg

Weight of each bag = 0.25 kg

Number of bags = Total weight of coffee / Weight of each bag

Number of bags = 6.75 kg / 0.25 kg

Calculating this division, we find:

Number of bags = 27

Therefore, Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.

To know more about bags click here :

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Answer:

Slope (m) =  18 /-17 =-1.0588235294118

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

11259.5

Step-by-step explanation:

25×386+3219÷2

Multiply 25 and 386 to get 9650.

9650+3219/2

Convert 9650 to fraction 19300/2.

19300/2+3219/2

Since 19300/2 and 3219/2 have the same denominator, add them by adding their numerators.

19300+3219/2

Add 19300 and 3219 to get 22519.

22519/2

Divide 22519 by 2 to get 11259.5.

11259.5

Answer:

C should be correct

Step-by-step explanation:

I am not sure if you or anybody else does this another way or maybe the same way, who knows.

Anyways, what I did here was just simply add the powers, and no, not the base, I mean what it is being multiplied by.

When I did this, I got 5^15, but I had to check to make sure, which is what I did

5^10x5^5 is  30517578125

And guess what.

5^15 = 30517578125

So the answer is C, and I hope my explanation helps in a way.

Answer:

so I'm not 100% sure but in these types of questions you are supposed to divide

so you have a pack of 24 bottles for 7.99

so you would do 7.99÷24 = 0.33

then to check it you can multiply

0.33× 24 bottles and it gives you 7.93 which is super close to 7.99 anyway I hope this helps ...

Answer:

−8y^2+9x+4y+11

Step-by-step explanation:

=12x+4y+−3x+2+−8y^2+9

Combine Like Terms:

=12x+4y+−3x+2+−8y^2+9

=(−8y^2)+(12x+−3x)+(4y)+(2+9)

=−8y^2+9x+4y+11

Good luck <3

Answer:

-8y^2+9x+4y+8

Step-by-step explanation:

^ refers to squared in my answer