The equation of an ellipse is x2/16 + y2/36= 1 , and the ellipse is centered at the origin. Find the vertices of the major axis and determine whether the ellipse has a horizontal or vertical major axis.

Answer:

2/5

Step-by-step explanation:

first, we convert the mixed fractions to improper fractions,

[tex]-1\frac{1}{14}=\frac{15}{14}[/tex]

so then we find what [tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex]

[tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex] = [tex]-\frac{3}{7} * -\frac{14}{15}[/tex]

and that equals [tex]\frac{3*14}{7*15}[/tex] , which equals [tex]\frac{42}{105}[/tex]. We can simplify that to 2/5

Answer:

3/4

Step-by-step explanation:

The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2

Answer: 2x2 + 4xy + 4y2 = 0

2 xx + 4xy +  4yy = 0

...xx + 2xy + y*y  + yy = 0

(x + y)^2  + yy = 0

if  x is a constant

... 2yy + 4xy  - 2xy  + xx = 0

(2yy + 4xy + 2xx -2xx) - 2xy + xx = 0

2(y + x)^2 - 2xx - 2xy + xx = 0

2(y + x)^2 - xx - 2xy  = 0

2(y + x)^2 - xx - 2xy  +yy  - yy = 0  

(x + y)^2  + yy = 0

x = i*y  - y

if  x = r cos a

y = r sin a

cos a )^2  + cos a sina  + sin a)^2  +  sin a)^2 = 0

cos a sin a + sin a)^2 = -1  

Step-by-step explanation:

Answer:

Ellipse; -32deg

Step-by-step explanation:

Got it right on Edge

Answer:

the answer is 7p

Step-by-step explanation:

p(5)+p(2)=7p

Answer:

x=5

Step-by-step explanation:

3 = 12/4

x = 20/4

x = 5

Answer:

9 dollars and 45 cents

Step-by-step explanation:

First find the price of one folder.

$25.20 divided by 8 = $3.15

Then, multiply by 3.

$3.15 x 3 = $9.45

(I accidentally used 3.18 instead of 3.15. Someone corrected me.)

Answer:

25.20 divided by 8 = $3.15 x 3 = 9.45

Step-by-step explanation:

used a calculator, Hope this helps!

Answer:

[tex]\huge\boxed{\sf GCF = x}[/tex]

Step-by-step explanation:

Firstly we'll factorize the terms:

45x³ = 3 * 3 * 5 * x * x * x

24x² = 2 * 2 * 2 * 3 * x * x

16x = 2 * 2 * 2 * 2 * x

The factor which is common in all three terms is:

= x

Hence GCF = x

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer: 20 hr

Step-by-step explanation:

Given

The depth of accumulated snow is [tex]d=10\ in.[/tex]

Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]

Time taken for complete melting of snow is

[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]

Answer: Angle 5

Step-by-step explanation:

The transversal is the line in between the two angles, and they are interior as they are inside two other lines, they are also alternate, thereby making them alternate interior angles.

Answer: 5

hope this helps be nice if its wrong <3

Answer:

hello as I think the answer is X= 6

Answer:

6

Step-by-step explanation:

Given

- 2(3x + 2) > - 8x + 6 ← distribute parenthesis on left side

- 6x - 4 > - 8x + 6 ( add 8x to both sides )

2x - 4 > 6 ( add 4 to both sides )

2x > 10 ( divide both sides by 2 )

x > 5

The only value on the list greater than 5 is 6

Then 6 is in the solution set

Answer:

j = $15

t = $5

Step-by-step explanation:

This question can be solved using simultaneous equation

let the price of t-shirt be represented with t

let the price of jeans be represented with j

From the question, these two equations can be derived

2j + 6t = 60  eqn 1

4j + 3t = 75  eqn 2

multiply eqn 1 by 2

4j + 12t = 120  eqn 3

Subtract eqn 2 from 3

9t = 45

divide both sides by 5

t = 5

Substitute for t in eqn 1

2j + 6(5) = 60

2j = 30

j = 15

Answer:

$344.25

Step-by-step explanation:

Answer:

546.75$

Step-by-step explanation:

202.5(2.7)=546.75

Answer:

273984828kdjsssdjdjdjdjddddeejddfj

Answer:

47

Step-by-step explanation:

First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.

Answer:

52(9/7)^t/1.5

Step-by-step explanation:

The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;

Initial number of branches = 52

Increment every 1.5 years = 2/7

N(t) = Initial * (1 + r)^t

t expressed per year = t/1.5

Hence,

N(t) = 52(1 + 2/7)^t/1.5

N(t) = 52(9/7)^t/1.5

Answer:

Greater than symbol.

2/3 > 2/4

Step-by-step explanation:

We have two fractions, 2/3 and 2/4

We then go back to the inequality part of mathematics where we have symbols such as greater than (>), less than (<), and equal to (=).

Of the three inequality symbols, we look and pick at the one that represents best, the fractions we were given.

2/3 and 2/4

With 2/3 being greater than 2/4.

2/3 = 0.67

2/4 = 0.50

Succinctly, 2/3 > 2/4.

So the first digit could be 0-9.

second is the same 0-9

And the 3rd 0-9 and lastly the 4th 0-9

There is a [tex]\frac{1}{10} *\frac{1}{10} *\frac{1}{10}* \frac{1}{10}[/tex] chance that they will get it right by guessing.

So that means a [tex]\frac{1}{10000}[/tex] chance that they will get it right.

So their are 10000 possible codes.

Answer:

21 square feet

Step-by-step explanation:

A cube has 6 faces, therefore 126/6 = 21 sq/ft the area of 1 face

The area of one face of a cube is 21 feet.

Surface area of cube is the sum of areas of all the faces of cube, that covers it.

The formula for surface area is equal to six times of square of length of the sides of cube.

A cube has a surface area of 126 feet.

The area of one face is given by;

[tex]\rm Area \ of \ one \ face=\dfrac{Surface \ area}{Total \ number \ of \ faces}\\\\ Area \ of \ one \ face=\dfrac{126}{6}\\\\ Area \ of \ one \ face=21[/tex]

Hence, the area of one face of a cube is 21 feet.

Learn more about cube here;

https://brainly.com/question/22241530

#SPJ2

Answer:

dependant

Step-by-step explanation:

Answer:

A. B. D.E.

Step-by-step explanation:

I just put it in a calculator and see if the answer was smaller or equal to 6.

Answer:

jsjzjdjdjdkthtabzgbgzbtzngzngzngsnysngsngdjysjysj

Answer

Calculator.net

i hope you use this it will help a lot

Answer:

x = 8.44, y = 7.56

Step-by-step explanation:

x + y = 16 (equation 1)

5x - 4y = 12 (equation 2)

(x + y = 16)× 5

(5x - 4y = 12) × 1

9y/9 = 68/9

y = 7.56

Substitute the value of x in equation 1

x + 7.56 = 16

x = 16 - 7.56

x = 8.44

Therefore, x = 8.44, y = 7.56

Answer:

x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]

y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]

__________________

Step-by-step explanation:

There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.

This is how it's done:

x + y = 16

5x – 4y = 12

__________

4 ( x + y = 16 )

+ 5x – 4y = 12

[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]

___________

4x + 4y = 64

+ 5x – 4y = 12

__________

9x = 76

÷9 ÷9

[Dividing by the coefficient of 9x in x to get x]

______

x = 76 / 9.

_______

Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.

So:

x + y = 16

[substituting the value of x into the equation]

(76 / 9) + y = 16

[Creating a common denominator that

can be canceled out]

(76 / 9) + (9y / 9) = (144 / 9)

76 + 9y = 144

[Subtracting 76 from both sides to isolate 9y]

–76 –76

__________

9y = 68

÷9 ÷9

[Dividing both sides by the coefficient of 9y in y to get y]

_________

y = 68 / 9

_________

We can also verify that these variables have the correct value because:

x + y = 16

5x – 4y = 12

→

(76 / 9) + (68 / 9) = 16

5(76 / 9) – 4(68 / 9) = 12

__________________

(76 + 68 / 9) = 16

(380 / 9) – (272 / 9) = 12

___________________

144 / 9 = 16

(380 – 272 / 9) = 12

__________________

144 / 9 × 9 = 16 × 9

108 / 9 = 12

__________________

144 = 144 ✓

108 / 9 × 9 = 12 × 9

_________________

144 = 144 ✓

108 = 108 ✓

Answer:

The skier has a faster rate of speed.

Snowboarder: 15m/s

skier: 18 m/s

Step-by-step explanation:

Answer:

67.75%

Step-by-step explanation:

Given:

Given that:

µ = 76 ; σ = 4.7

P(x < 80.7) - P(x < 71.4)

Obtain the standardized score, Z ; x = 71. 4

Zscore = (x - μ) / σ

P(x < 71.4) = (71.4 - 76) / 4.7

P(x < 71.4) = - 4.6 / 4.7

P(x < 71.4) = - 0.9787

P(z < 0.9787) = 0.16386

x = 80.7

P(x < 80.7) = (80.7 - 76) / 4.7

P(x < 80.7) = 4.7 / 4.7

P(x < 80.7) = 1

P(z < 1) = 0.84134

0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

Answer:

54=x

Step-by-step explanation:

90=43+(x-7)

47=x-7

54=x

symbolab is great for math equations btw