Determine the total length of the major and minor axes for the ellipse 25x^2+y^2=25
Will give brainliest

Answers

Answer 1

Answer:

Step by step Solution :-

25X^2 + Y^2 = 25

A) Finding X value :-

1. Subtract Y^2 from both sides:

25X^2 = 25 - Y^2

2. Divide both sides by 25 :

( 25X^2 ) ÷ 25 = ( 25 - Y^2 ) ÷ 25

3. Dividing by 25 undo the multiplication by 25 :

X^2 = ( 25 - Y^2 ) ÷ 2

4. Divide ( 25 - Y^2 ) by 25 :

X^2 = ( - Y^2 ÷ 25 ) + 1

5. Take Square Root for both sides of equation ( before & after (=) ) :

X = √ ( 25 - Y^2 ) ÷ 5

X = - √ ( 25 - Y^2 ) ÷ 5

------------

Now that we knew what X value is, we'll figure out Y value too!

B) Finding Y value ( Finding Square Root ):-

Y^2 = 5√ ( 1 - X^2 )

1. Finding Square Root :

25X^2 + Y^2 = 25

2. Subtract 25X^2 value from both sides :

Y^2 = 25 - 25X^2

3. Take square root for both sides of equation :

Y = 5√ ( 1 - X^2 )

Y = - 5√ ( 1 - X^2 )


Related Questions

Can you help me solve this

Answers

Answer:

27 miles

Step-by-step explanation:

27 miles is your answer

PLEASE HELP ASAP!! 30 POINTSSSS!!!!! EXPLANATION PLEASEEEEE, IM BEGGING PLEASE DONT JUST PUT AN ANSWER

Solve for 'x' in both of the following problems.

Answers

Answer:

x = 73° , x = 7

Step-by-step explanation:

(1)

the measure of an inscribed angle is half the measure of its intercepted arc.

∠ B = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 128° = 64°

the sum of the 3 angles in Δ ABC = 180°

then

x = 180° - (64 + 43)° = 180° - 107° = 73°

(2)

2 chords iintersecting in a circle, then

the products of the parts of one chord is equal to the product of the parts of the other chord, that is

KH × HI = JH × HG ( substitute values )

10x = 14 × 5 = 70 ( divide both sides by 10 )

x = 7

7. Given: AD || BC and AD=BC.
B
Prove: AB || DC

Answers

Answer:

Step-by-step explanation:

Find the solutions to the equation below.

Check all the apply.

16x^2 - 64 = 0

A. x = 4

B. x = 2

C. x = -64

D. x = -2

E. x = -4

F. x = -8

Answers

Answer:

x = 2

x = - 2

Step-by-step explanation:

⇒ 1: Common Factor

16x² - 64 = 016(x² - 4) = 0

⇒ 2: Use the sum-product pattern

16 (x² - 4) = 016 (x² + 2x - 2x - 4) = 0

⇒ 3: Common factor from the two pairs

16((x² + 2x) + (-2x - 4) = 016(x(x+2)-2(x+2))=0

I dont feel like adding more details.

- rewrite in factored form

16(x(x+2)-2(x+2))=0

16(x-2)(x+2)=0

- create seperate equations

16(x-2)(x+2)=0

x-2=0

x+2=0

- solve

*rearrange and isolate the variable to find each solution

x = -2

x = 2

Answer:

B.x=2

Step-by-step explanation:

[tex]16x ^{2} - 64 = 0[/tex]

[tex]16x ^{2} = 64[/tex]

[tex]4 ^{2} {x}^{2} = {4}^{3} [/tex]

[tex] {x}^{2} = \frac{4 ^{3} }{4 ^{2} } [/tex]

[tex]x^{2} = 4[/tex]

[tex] \sqrt{x ^{2} } = \sqrt{4} [/tex]

[tex]x = 2[/tex]

Graph the parabola. Plot five points on the parabola. button.​

Answers

Step-by-step explanation:

The graph looks like the above picture

Answer:

Image Attached

Step-by-step explanation:

Hello!

To have points with whole numbers, multiples of 3 need to be used for x.

x = 3

y = (1/3)(3)²y = (1/3)(9)y = 3

x = 6

y = (1/3)(6)²y = (1/3)(36)y = 12

x = 9

y = (1/3)(9)²y = (1/3)(81)y = 27

x = 12

y = (1/3)(12)²y = (1/3)(144)y = 48

x = 15

y = (1/3)(15)²y = (1/3)(225)y = 75

Two images are attached, one in correlation to y = x^2, and the original graph with the given points (3,3), (6,12), (9,27), (12,48), (15, 75).

What is the value of the expression below?
(-8) 2/3

Answers

Answer:

Step-by-step explanation:

Step 1:  Multiply the numerator

[tex](-8) * 2/3[/tex]

[tex](-8 * 2)/3[/tex]

[tex]-16/3[/tex]

Answer: [tex]-16/3[/tex]

Please answer soon!
What is the median number of repairs per vehicle as shown in the box plot below?

Answers

Answer:

 B, or 4

Step-by-step explanation:

Since the line in the middle of the box plot shows the median it tells us that the median is 4

Answer:

4

Step-by-step explanation:

because it is the middle number

17,18,22,31,47, ... what's next

Answers

Answer:

Step-by-step explanation:

First establish the pattern. Notice the sequence of numbers below. These are the ones making up the pattern. You can go as far as 47 - 31 which gives 16 which is 4^2.

18 -17 = 1 = 1^2

22 - 18 = 4 = 2^2

31 - 22 = 9 = 3^2

47 - 31 = 16 = 4^2

=================

Call the number comming x.  47 taken from x must give 5^2 which is 25

x - 47 = 5^2

x - 47 = 25                        Add 47 to both sides

x  -47 + 47 = 25 + 47

x  = 72

=================

72 -47 = 25 which is 5^2.

Answer: The next number is 72

Write the number in scientific notation. 0.0805

a)8.05 × 10
b)0.805 × 10–1
c)80.5 × 100–3
d)8.05 × 10–2

Answers

D , you would move the decimal so there would only be one non digit zero to the left decimal and then move exponent on the 10. if you move the decimal to right there would be a negative exponent and that makes the left decimal a positive

Solve the problem.
Two cylindrical cans of beef stew sell for the same price. One can has a diameter of 6 inches and a
height of 4 inches. The other has a diameter of 4 inches and a height of 6 inches. Which can contains
more stew and is therefore, a better buy?

Answers

Answer:

The first can.

Step-by-step explanation:
formula: Pi x diameter x height

1st can has a volume of 113.10
2nd can has a volume of 75.40


Question
A pole that is 3 m tall casts a shadow that is 1 m long. At the same time, a nearby tower casts a shadow that is 44.5 m long. How tall is the tower?

Answers

Answer: 1,33.5 m

Step-by-step explanation:

       We can set up a proportion to solve. I will have the length of the pole / tower on the top (numerator), and the length of the shadow on the bottom (denominator). All units will be in m.

       [tex]\frac{3}{1} =\frac{x}{44.5}[/tex]

       Now, I will cross multiply and solve for x. This will give us the height of the tower.

       x * 1 = 3 * 44.5

       x = 133.5 m

Data from a sample of 576 people in a city was used to estimate the mean monthly bill
paid by city residents for internet service to be $45 with a standard deviation of $0.48.
Enter a number in the box to complete the sentence below.
S
Use the formula M=1.96 x to calculate the margin of error for a 95% confidence
VN
interval, to the nearest hundredth, $
dollars.

Answers

Using the z-distribution, it is found that the margin of error for a 95% confidence interval is of $0.04.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, the values of the parameters are:

[tex]z = 1.96, \sigma = 0.48, n = 576[/tex].

Hence, the margin of error, in dollars, is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{0.48}{\sqrt{576}}[/tex]

M = 0.04.

More can be learned about the z-distribution at https://brainly.com/question/25890103

A can of juice is 5cm in diameter and 8cm high. How much juice is in a pack of 6cans

Answers

Answer:

942.84 cm³

Step-by-step explanation:

volume of 1 can = πr²h = 22/7 × 5/2 × 5/2 × 8

= 157.14 cm³

volume of juice in 6 cans = 6 × 157.14 = 942.84cm³

this is k 12 help,
please!!! for (100 points)

Answers

Answer:

14 m²

area of sqaure pyramid: a² + 2(a)(l)

a = side of the base l = slant height

area:

(2)² + 2(2)(2.5)14 m²


HELP PLS HJJHHHJJHH

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Important facts given [needed to solve]

Time period = 3 yearsLoan amount = $5000Interest rate = 8% (semi-annually - twice a year)Monthly payment = $156.68

Solving :

Total amount to be repaid = Monthly payment x 3 years= Monthly payment x 3 x 12 months= $156.68 x 36= $5640.48 (a)

Interest paid

Total amount repaid - Initial loan amount= 5640.48 - 5000= $640.48 (b)

X - 8 = 1 what does X equal to?

Answers

Answer:

9

Step-by-step explanation:

To answer this we add 8 to both sides:

x-8+8 = 1+8

x = 9

This is our answer

Given:-

X - 8 = 1

To find :-

The value of x

Solution :-

X - 8 = 1

Transferring 8 to Right side

X = 1 + 8 ( signs change when transferred to opposite side )

X = 9

What is the LCD of -1 2/8 and 2 3/4?

Answers

Answer:

The least common denominator of [tex]-1\frac{2}{8}[/tex] and [tex]2\frac{3}{4}[/tex] is 8

Ann has some dimes and quarters. If she has 11 coins worth a total of $2.00, how many of each type of coin does she have?

Answers

Answer:

5.5 maybe i guess its fun

A fruit company guarantees that 94​% of the pineapples it ships will ripen within four days of delivery. Find the probability that at least 10 pineapples in a case of 12 are ripe within four days.

Answers

The probability that at least 10 pineapples in a case of 12 are ripe within four days as described in the task content is; 0.783

Probability of Percentage

From the task content;

It follows that 94% of the pineapples shipped will ripen within four days of delivery.

On this note, the probability for ripening of each apple is; 0.94.

Ultimately, the probability that at least 10 pineapples in a case of 12 are ripe within four days is therefore; 0.94 × 10/12 = 0.783.

Read more on probability;

https://brainly.com/question/18916756

Each interior angle of a regular polygon has a measure of 40.how many sides does the polygon have?​

Answers

Given Information :-

Each exterior angle of a regular polygon has a measure of 40°

To Find :-

The number of sides of the polygon

Formula Used :-

[tex] \qquad \star \: \underline{ \boxed{ \green{ \sf No.~of~sides = \dfrac{360^ \circ}{exterior ~angle}}}} \: \star[/tex]

Solution :-

Using the formula,

[tex] \sf \dashrightarrow No. ~of~sides= \dfrac{360}{40} \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \frac{ \cancel{360}}{ \cancel{40} } \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \underline{ \boxed{ \blue { \frak{9}}}} \: \star[/tex]

Thus, the polygon is a nonagon, and hence has 9 sides.

[tex] \underline{\rule{227pt}{2pt}} \\ \\ [/tex]

6) The frequency table represents lunch choices for 22 middle school students. Each student may only make one choice. What frequency count should be recorded for the soup category?
-------
A) 2
B) 4
C) 6
D) 8

Answers

The frequency count that should be recorded for the soup category is 6.

What does subraction mean?

Subtraction is the process of taking one number away from another number. The sign used to represent subtraction is -.

What is the frequency count for the soup category?

The frequency count on the table should be equal to the number of students. Thus, in order to determine the frequency count for the soup category, subtract 22 from the total frequency count.

The frequency count for the soup category = 22 - (5 + 8 + 2 + 1 ) = 6

To learn more about subtraction, please check: https://brainly.com/question/915789

The area of a circle is 9π m². What is the circumference, in meters? Express answer in terms of π

Answers

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

= pi ( 4.5)^2

20.25 pi

At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are filled, customers add as many toppings as they want without exceeding a total weight of 6 ounces. Which of the following represent the acceptable weights for the frozen yogurt options? Select all that apply:
A.) 0 < x ≤ 6
B.) 0 < x ≤ 3
C.) 4 ≤ x ≤ 6
D.) x ≤ 6
E.) |x - 5| ≤ 1
F.) |x - 2| ≤ 6

Answers

Answer

4 ≤ x ≤ 6 and |x - 5| ≤ 1

Step-by-step explanation:

I answered the question...i got it right...

I’ve been stuck on this question can someone help?

Answers

practice harder and harder you will get what you want

MATH. Someone please answer this for me :) 50 points


Image attached

Answers

Answer:

A=0.51

B=0.73

C=0.41

D=A student taking algebra II is dependent on whether they prefer it and a student being in 10th grade is dependent on their age

Step-by-step explanation:

These answers are all in fractions btw

A)5/255+20/245+65/225+90/725=0.514267 which rounds to 0.51

B)100+65=165

165/225=0.73

C)100/245=0.41

Hope it helps !

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

5x10x9 Is the correct answer meaning that the answer is 450

Brainliest would be very appriciated

Step-by-step explanation:

EDIT: my bad i read the question wrong, the answer is D:450

sorry for any confusion ;^;

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

ABC + DBC = ABD
(4x-4)+(4x+9) =77
4x-4+4x+9=77
8x=77-5
8x=72
X=72/8
X=9
Then
ABC=4x-4
=4*9-4
= 32
DBC=4x+9
=4*9+9
=45

Well has -55.00 in his account if he saves $2.50 his mom gives him lunch every day, how many days will it be until he has a balance of at least $0

Answers

Answer:

22 days

Step-by-step explanation:

55 divided by 2.5=22 days

Answer: 22 Days

Step-by-step explanation:

-55.00/2.50= -22
But since you can’t have a negative answer then you have to make it positive for your amount of days! So it would take that person 22 days to have 0 in his account!

- I hope this helped! I tried my best but definitely double check with your teacher for this answer!

A car rental agency rent compact, midsize, and luxury cars. Its goal is to purchase 48 cars for a total of $932,000 and to earn a daily rental of $ 1,265 from all the cars. The compact cars cost $13,000 each earn $ 20 per day in rental, the midsize cars cost $ 25,000 each earn $ 27 per day, and the luxury cars cost $ 29,000 each and earn $ 45 per day. Your task will be to find the number of each type of car the agency should purchase to meet its goal.

Answers

Answer:

25 compact15 midsize8 luxury

Step-by-step explanation:

The set of relationships can be formulated as three equations in three unknowns. These can be written as an augmented matrix and solved using a calculator.

Let x, y, z represent the numbers of compact, midsize, and luxury cars, respectively. Then the relations are ...

  x + y + z = 48 . . . . . . total number of cars purchased

  13x +25y +39z = 932 . . . . . total cost in thousands

  20x +27y +45z = 1265 . . . . daily rental revenue

The augmented matrix of coefficients looks like ...

  [tex]\left[\begin{array}{ccc|c}1&1&1&48\\13&25&39&932\\20&27&45&1265\end{array}\right][/tex]

And its solution is ...

  (x, y, z) = (25, 15, 8)

The agency should purchase 25 compacts, 15 midsize, and 8 luxury cars.

Question 13 of 14

Phillipa rode her bicycle every day over the weekend. Phillipa rode [(13.5 + 8.5) ÷ 2]
miles on Friday, [18 − (2 × 4)] miles on Saturday and [20 − (5 − 3)]

miles on Sunday.

On which day did Phillipa ride her bicycle the most?

She rode her bicycle the most on .

Answers

Answer:

Sunday

Step-by-step explanation:

Friday  

[(13.5 + 8.5) ÷ 2] = [(22) ÷ 2] = 22 ÷ 2 = 11 miles

Saturday

[18 − (2 × 4)] = 18 - (8) = 18 - 8 =  10 miles

Sunday

[20 − (5 − 3)] = 20 - (2) = 18 miles

18 > 11 > 10

Then She rode her bicycle the most on Sunday

Try:

Rereading your lessons, getting help from your tutor or others.

Answer:

Sundays

Hope this helps and don't forget to hit the thanks button! <3

Written by: RiBu

THE ANSWER IS SUNDAYS.

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