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:

h(-8)=9(-8) +27

h(-8)=72-27

h(-8)=45

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

is this answer

Answer:

w=8

Step-by-step explanation:

i took the k12 test

Answer: Not rounded: 39.6 Rounded: 40

Step-by-step explanation:

Answer:

There are 585 adults and children

Step-by-step explanation:

Let the number of adults be a, number of children be c and the number of seniors be a

Amount made per group;

adults; 52 * a = 52a

Children : 26 * c = 26c

Seniors = 20 * s = 20s

Adding all will give 20,490

52a + 20s + 26c = 20 490 ••••(i)

Now let us work with the ratios;

a : s = 6 : 1

a/s = 6/1

a = 6s •••••(ii)

Lastly;

a/c = 4/9

4c = 9a ••••(ii)

We want to get a + c

From the first equation , let’s substitute

52(6s) + 20s + 26c = 20,490

26c = 6.5 (4c)

but 4c = 9a; 6.5(9a)

But a = 6s

So we have; 6.5(9)(6s) = 351s

so we have;

312s + 351s + 20s = 20,490

683s = 20,490

s = 20490/683

s = 30

Recall;

a = 6s = 6 * 30 = 180

4c = 9a

4c = 9 * 180

c = (9 * 180)/4 = 405

So the total number of children and adult is a + c

405 + 180 = 585

Answer:

A

Step-by-step explanation:

if x=19, 19x3 =57 and 57+123=180 and straight angle = 180 so A

Answer:

X=19

Step-by-step explanation:

123 and 3x are supplementary/they equal 180 added together.

Let's solve your equation step-by-step.

123+3x=180

Step 1: Simplify both sides of the equation.

3x+123=180

Step 2: Subtract 123 from both sides.

3x+123−123=180−123

3x=57

Step 3: Divide both sides by 3.

3x/3 = 57/3

x=19

Have a splendid day.

PS. I like your bakugo profile picture.

Answer:

x = 80 degrees

Step-by-step explanation:

Answer:

y=5x-6

Step-by-step explanation:

Use form y= mx + b where m is the slope and b is the y intercept

Answer:

136

Step-by-step explanation:

Just took the test and got it right good luck with the rest

Answer:

Plug in -3 as x

Step-by-step explanation:

f= -4(-3)+1

Answer:

25

Step-by-step explanation:

Answer:

it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49

Step-by-step explanation:

Answer:

12285

Step-by-step explanation:

11x+6=12x-4

6-4=12x-11x

therefore x=2

simple

Answer: (x + 7)^2 + (y + 5)^ =9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the shake be x and the burrito y

x + 2y = 3040 ---- (1)

2x + y = 2840 ---- (2)

Make x the subject of formula in equation (1)

x + 2y - 2y = 3040 - 2y

x = 3040 - 2y

Substitute x = 3040 - 2y for x in equation (2)

2(3040 - 2y) + y = 2840

6080 - 4y + y = 2840

6080 - 3y = 2840

Subtract 2840 from both sides of the equation and add 3y to both sides of the equation

6080 - 3y + 3y - 2840 = 2840 - 2840 + 3y

6080 - 2840 = 3y

3y = 3240

Divide both sides by the coefficient of x(which is 3)

[tex]\frac{3y}{3} = \frac{3240}{3}[/tex]

y = 1080

Substitute y = 1080 for y in equation (2)

2x + 1080 = 2840

2x = 2840 - 1080

2x = 1760

[tex]\frac{2x}{2} = \frac{1760}{2}[/tex]

x = 880

∴ The caloric content of one shake is 880 and for one burrito is 1080

Hope this helps

Answer:

10w

Step-by-step explanation:

→ Work out the length

4 × w = 4w

→ State width

w

→ Find perimeter

4w + 4w + w + w = 10w

Answer:

(4.5, -0.5)

Step-by-step explanation:

dude just use desmos its so much easier :)

Answer:

Not Perpendicular

Step-by-step explanation:

Answer:

33 students

Step-by-step explanation:

ratio = 6 : 5

if there are 3 more girl that boy

ratio 1 equal 3.

total ratio

6 + 5 = 11

total number of students

11 × 3 = 33

Answer:

Part A

y = 8

Part B

We can find BF by either;

a) Through Pythagoras theorem to find the length of a side in a right triangle

b) The known rate of change of the length of the line FC with height

Step-by-step explanation:

Part A

The given parameters are;

FC = 5

We are to find BF

By the triangle proportionality theorem, we have;

FC:BF = EC:AE

From the given draining we have;

C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)

Points A,  E and C are have the same y-coordinate values, therefore, we have;

EC = 10 - 4 = 6

AE = 4 - 1 = 3

Therefore, we have;

5/BF = 6/3 = 2

BF = 5/2 = 2.5

Using the formula for finding the distance between two points, we have;

BF = √((5.5 - 7)² + (y - 6)²)

BF² = 2.5² = (5.5 - 7)² + (y - 6)²

6.25 = 2.25 + (y - 6)²

6.25 - 2.25 = 4 = (y - 6)²

√4 = √(y - 6)² = (y - 6)

±2 = y - 6

y = 6 + 2 = 8, or y = 6 - 2 = 4

Given that from the diagram, y > 6, we have y = 8

Part B

a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;

BF = √((5.5 - 7)² + (8 - 6)²) = 2.5

b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line

We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;

From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5

Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5

Answer:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \frac{x}{y} \alpha \alpha \alpha =\beta[/tex]

Step-by-step explanation:

Answer:

1 1/2 tons per hour

Step-by-step explanation:

8 1/4 ÷ 5 1/2

Answer:

Step-by-step explanation:

Answer:

she forgot to multiply the radius by 2 in the formula (B)

Step-by-step explanation:

i got it right :)

Answer:

B.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hello There!

First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)

Because the fee is 3 dollars we can immediately eliminate answers B and C

Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)

Once again we want to choose two points on the line and plug it in into the slope formula

the points are optional but i have chosen the points (1,4.5) and (2,6)

*plug it into the slope formula*

[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]

so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A  

Answer:

25%

Step-by-step explanation:

3/12=d/100

12×d=12d=3×100=300

12d÷12=d

300÷12=25

d=25

hope this helps

Answer:

he is drive 6.4 hours ......