Which of the following equations could represent the points in the table? Select all that apply.
х
y
0
11
1
5
2
-1
3
-7
o
A. y - 11 = -6(x - 0)
B. y - 1 = -6(x + 5)
C. y + 1 = -6(x - 2)
D. y - 7 = -6(x - 3)

Answer: x=8/81

Step-by-step explanation

3x divide by 3

8/27 divide by 3

it becomes x=8/27 divide by 3 and 3 becomes 1/3

8/27 x 1/3=8/81

x=8/81

Answer: the answer is A

Step-by-step explanation:

The equation of an ellipse having a major axis of length 18 and foci located at (4,7) and (4,11) is given by: Option A: (x-4)^2/77 + (x-9)^2/81 = 1

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis, then the equation of that ellipse would be:

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

Coordinates of its foci would be: [tex](h \pm c, k)[/tex] where [tex]c^2 = a^2 - b^2[/tex]

If its major axis is parallel to y-axis, then,

coordinates of its foci would be: [tex](h , k\pm c)[/tex] where [tex]c^2 = a^2 - b^2[/tex] and its equation would be:

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

For this case, we're specified that:

Assume that:

Then, we get:

2a = 18, or a = 9 units

Also, as we have:

Coordinates of its foci as: (4,7), and (4,11)

Foci lie on major axis, and the x-coordinate of both foci is constant, so major axis is parallel to y-axis.

For such ellipse, its foci is [tex](h , k\pm c)[/tex]

The value of c is always non-negative as a ≥ b always as 2a is length of major axis and 2b is length of minor axis.

Thus, we get:
[tex]k - c = 7\\k + c = 11[/tex] (c isn't 0 as it has some effects as foci' y coordinates are different. Thus, c > 0. Andt therefore a fixed number - positive number < that fixed number + that positive number, therefore we alloted 7 and 11 to those foci).

From those 2 equations, we get:
[tex]k = c + 7\\k+ c =c+7+c = 11\\c = 2\\k = 2+7 = 9\\[/tex]

Also, from foci coordinates, we get h = 4

Thus, center of the ellipse considered is (h,k) = (4,9)

Also, as we've got [tex]c^2 = a^2 - b^2[/tex]  and c = 2, and a = 9, therefore, we get:
[tex]2^2 =9^2 - b^2\\b^2 = 77[/tex]

Thus, the equation of the ellipse considered is:

[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1\\\\\dfrac{(x-4)^2}{77} + \dfrac{(y-9)^2}{81} =1[/tex]

Thus, the equation of an ellipse having a major axis of length 18 and foci located at (4,7) and (4,11) is given by: Option A: (x-4)^2/77 + (x-9)^2/81 = 1

Learn more about ellipse here:

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Answer: 1 bulb

Step-by-step explanation:

Using the proportion of flawed bulbs in the first scenario, you can get the number of flawed bulbs in the other bath.

First scenario total bulbs = 2 + 36 = 38

Proportion of flawed bulbs = 2/38 = 1/19

In a batch of 19, the flawed bulbs are;

= 1/19 * 19

= 1 bulb

Answer:

0.03

Step-by-step explanation:

khan says it’s right

Answer:

Step-by-step explanation:20

Answer:

The total amount he pays back will be $1,401.6

Step-by-step explanation:

First off, we transform 5.6% to a decimal and multiply it by 3 (years), and that will get us 0.168. Then we use the total amount borrowed and multiply it by 0.168 (total interest for 3 years). Finally, we add that to our total amount borrowed and we get the final answer.

1200 + (1200 * 0.168) = 1,401.6  

The total amount he pays back at the end of 3 years is 1413.1 .

Growth rates refer to the percentage change of a specific variable within a specific time period.

According to the question

Fredrick borrows $ 1200 for 3 years at a rate of 5.6% per year simple

interest.

Principal amount P = $ 1200

Time t = 3 years

Growth Rate r = 5.6 % = 0.056

Total amount = [tex]P(1+r)^{t}[/tex]

= [tex]1200(1+0.056)^{3}[/tex]

= [tex]1200(1.056)^{3}[/tex]

= 1413.1

The total amount he pays back at the end of 3 years is 1413.1 .

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Answer:

A. J (Jonathan's age) = 1/3 M+0; I got this because he is 1/3 her age so 1/3 times her age is his age

B. J=1/3m+5; same as before but plus 5 years

C. he will be 17 because 36 times 1/3 is 12 then you add the 5 year

D. I put explanations with each one

I really hope this helps and if you have any questions be sure to comment them! Have a great day!

Answer:

14 ounces

Step-by-step explanation:

you count the tick on the ounce side until it is at the same point as the grams

14 ounces, extra characters

Answer:

46

Step-by-step explanation:

180 minus 105 minus 29

Answer:

46 degrees

Step-by-step explanation:

im assuming this is a triangle so 105+29=134

180-134=46

Answer:

x= 1

Step-by-step explanation:

7x-4x= -1+4

3x = 3

x= 1

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

7x - 4 = 4x - 1

Step 2: Solve for x

Answer:

The answer is

[tex]y = \frac{7}{2}x - 600[/tex]

Step-by-step explanation:

Formula:

[tex]y = mx + b[/tex]

We first need to find the slope:

[tex] m = \frac{25 - 200}{50 - 100} = \frac{ - 175}{ - 50} = \frac{7}{2} [/tex]

Now we need to find the y-intercept:

y = mx + b (substitute)

100= 7/2(200) + b

100 = 700 + b

-700=-700

-600 = b

Using the information we now have:

[tex]y = \frac{7}{2}x \: - 600[/tex]

Answer:

Nice!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to find 5/8 of 11/2:

Answer:    sorry if i am wrong but i think it is    c or a

Step-by-step explanation:

Answer:

8 out of 24y + 88z.

8 (3y + 11z)

Step-by-step explanation:

Brainliest Please!!!!

Answer:= 8(3y + 11z)

rewrite 88 as 11 x 3

    rewrite 24 as x 8                                      

         = 3 x 8y + 11 x 8x                        

 factor out common term 8

= 8( 3y + 11z)          

Answer:

2s-10

Step-by-step explanation:

Answer: S - 10

Step-by-step explanation:

The question states the 3rd side is 10cm less than the 2nd side. The keyword is less, less means subtract. Knowing we have to subtract we can eliminate the 3rd and 4th answer. Since the 2nd is equal to “s”, and the third side is 10cm less than the 2nd, the 3rd side must be equal to:

“s - 10”.

Answer:

7 more weeks

Step-by-step explanation:

36-8=28

2×2=4

4×7=28

28+8=36

Answer:

n=2

Step-by-step explanation:

4n-2n=2n

2n/2=4/2

n=2

Hope this helps/ Happy Holidays!

Answer:

by the fourth week farrah will know 20 appetizer recipes

Answer:

4 weeks

Step-by-step explanation:

15/3= 5

20/5= 4

do you need the equations solved? i'll answer in the comments after you lmk what i need to do with the equations lol

Answer:

All equilateral triangles have angles equal to 60°.

Answer:

-7

Step-by-step explanation:

The value of the y-intercept is -7.

Given that, slope=5 and the coordinate points is (3, 8).

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

Substitute m=5 and (x, y)=(3, 8) in y=mx+c, we get

8=5×3+c

⇒8=15+c

⇒c=-7

Therefore, the value of the y-intercept is -7.

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Answer:

278 cheeseburgers and 350 hamburgers sold on Thursday

Step-by-step explanation:

To confirm that these combined equal 628 we can add them together using the equation 278 + 350. Once confirm that these both equal 628 when combined, we can find the difference between the 350 hamburgers and 278 cheeseburgers by subtracting one from the other using the equation, 350 - 278. When you do that, you will get a difference of 72 which means that there were 72 fewer cheeseburgers sold than hamburgers.

(sorry if this is confusing, I'm not good at explaining things)

Answer:

45%

Step-by-step explanation:

You would add 11 and 9 together to find the mix number, which would be 20. Then, you see that the crackers is 9. So, you would do 9 divided by 20 (to find the percentage). 9 divided by 20 is 0.45

0.45 as a percent is 45%.

Answer:

0

Step-by-step explanation:

Given the expression

(-22)-14-(-22)+14

First you must knw the following sign operations

-×- = +

+×-= -

Using the operation in the question

(-22)-14-(-22)+14

= -22-14+22+14

= -22+22-14+14

= (22-22)-(14-14)

= 0-0

=0

Heme the required answer is 0

Answer:

3x=36-6x

or, 3x+6x=36

0r,9x=36

or,x=36/9

or,x=4

Step-by-step explanation:

if you are satisfied then you can give brainliest

A square's diagonal has a length equal to √(2) times the length of its sides. So if the side length is x, then the diagonal is such that

√(2) x = 10 cm

→   x = 10/√(2) cm ≈ 7.07 cm

The perimeter of a square is 4 times its side length, so the perimeter is

4 (10/√(2) cm) = 40/√(2) cm ≈ 28.3 cm

which makes 28.4 cm the closest answer.

Answer:

28.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-(-9)}{0-3}=\dfrac{12}{-3}=-4[/tex]

Point-slope frorm:

[tex]y-y_o=m(x-x_o)[/tex]

m = -4 ;    point (0, 3)   ⇒   x₀=0,  y₀=3

y - 3 = - 4(x - 0)

y - 3 = - 4x            

y = - 4x + 3     ←   slope intercept form

Answer:

-0.7

Step-by-step explanation:

You are subtracting 0.7 from 8. The pattern keeps going