What is the equation of the following graph in vertex form?
(2, 1)
(0,5)

Answer:

Therefore, the line's equation and the correct slope will be:

[tex]y = 3, m = 0[/tex]

Therefore, option J is correct.

Step-by-step explanation:

As the line is perpendicular to the y-axis means the line is parallel to the x-axis.

so according to the point slop form

[tex]y-y_{1} =m(x-x_{1} )[/tex]

[tex]y - 3 = 0 (x - 2)[/tex]

[tex]y - 3 = 0 - 0[/tex]

[tex]y = 3[/tex]

Therefore, the line's equation and the correct slope will be:

[tex]y = 3, m = 0[/tex]

Therefore, option J is correct.

Answer:

1. cos(2π + θ) = cosθ

2. tan(2π + θ) = tanθ, cot(2π + θ) = cotθ.

explanation:

cot(2π + θ) = cotθ. The Trigonometric ratios of angle 2π - θ: Thinking of θ as an acute angle, 2π -θ ends in the 4th Quadrant where only cosine is positive. 2π -θ means going 1 full turn from A to A and then returning to the M' that means as much as θ.

Answer: cos(2π + θ) = cosθ, tan(2π + θ) = tanθ, cot(2π + θ) = cotθ.

Answer:

b. 1,200 + 20 + 14

Step-by-step explanation:

617

x

2

______

1234

______

1234 aka. 1,200 + 20 + 14

Answer:

add everything to everything

Step-by-step explanation:

Answer: The cost of a child ticket is $30

Step-by-step explanation:

Let's define the variables:

A = price of an adult ticket

C = price of a child ticket

We know that:

"The Sandoval family paid $180 for 2 adult tickets and 3 child tickets to an amusement park."

This means that:

2*A + 3*C = $180

and

"The Martinez family paid $105 for 1 adult and 2 child tickets to the same park."

This means that:

1*A + 2*C = $105

Then we have a system of equations:

2*A + 3*C = $180

1*A + 2*C = $105

To solve this, the first step is to isolate one variable in one of the equations, i will isolate A in the second equation:

A = $105 - 2*C

Now we can replace this in the other equation:

2*($105 - 2*C) + 3*C = $180

Now let's solve this for C, the price of a child ticket.

2*($105 - 2*C) + 3*C = $180

$210 - 4*C + 3*C = $180

$210 - C = $180

-C = $180 - $210

-C = - $30

C = $30

The cost of a child ticket is $30

Answer:

he should get $16.20 back

Step-by-step explanation:

Answer: B (-2,6)

Step-by-step explanation:

I took the test

Answer:

5.52%

Step-by-step explanation:

Answer:

5.5226824458%

Step-by-step explanation:

Answer:

2(x - 3)  =  2x + 5

Multiply out the left side:

2x - 6  =  2x + 5

Subtract 2x from both sides:

   -6  =  5

Since this is impossible, this "equation" cannot be solved.

Answer:

B)20

Step-by-step explanation:

y=10 when x=2 and varies directly so y=5*x

when x=4 then y=5*x=5*4=20

Step-by-step explanation:

impossible event or a probablity of 0

Answer:

0.20

Step-by-step explanation:

add them all up figure out how much is left till you get to 1.00

Answer:

$82.50

Step-by-step explanation:

just subtract 1- 1 = 0

so 82.50

Answer:

$81.51

Step-by-step explanation:

I hope this helps!

Answer:

0.9

Step-by-step explanation:

Answer:

do you mean in simplest form

if so then it is 2:3

if not then 6

Step-by-step explanation:

Answer:

It's a 1954 Arnolt Bristol Bolide

Step-by-step explanation:

Answer:

A. 100 per deposit

Step-by-step explanation:

for every one deposit made, you see your y value increasing by 100

Answer: Choice A is correct

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

Explanation:

Each time x goes up by 1, y goes up by 100 (eg: from 50 to 150, so 150-50 = 100).

We then say,

slope = rise/run

slope = (change in y)/(change in x)

slope = (100)/(1)

slope = 100

The rate of change is $100 per deposit

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

We could also use the slope formula. Pick any two points on the diagonal line. Let's say we picked (1,150) and (3,350)

m = (y2-y1)/(x2-x1)

m = (350-150)/(3-1)

m = (200)/(2)

m = 100

Or we could pick (0,50) and (1,150) as our two points

m = (y2-y1)/(x2-x1)

m = (150-50)/(1-0)

m = (100)/(1)

m = 100

Either way, the slope is m = 100.

Answer:

3:7

Step-by-step explanation:

3 parts of lemonade to 7 parts punch

Answer:

how you suppose to do dis?

Step-by-step explanation:

i don't understand?

Step-by-step explanation:

given data

we are told that there are 3 bags of  dog food

each bag contains 12 pounds

the total pound is =12*3=36 pounds

Choose True or False for each statement.

The word "group" suggests multiplication.  FALSE (A group suggest addtion)

The words "share" and "equally" suggest division. TRUE

The words "each bag" suggest multiplication. TRUE

The word "contains" suggests division. FALSE

Answer:

87

Step-by-step explanation:

If you were finding the volume than it would be width x length x height like the other person said or whatever lol

Answer: Length * Width * Height

Answer:

12 hours

Step-by-step explanation:

Time taken by pipe A = 24 hours

Time taken by pipe B = 36 hours

Time taken by pipe C = 32 hours

To find:

How long would it take the three pipes to fill the pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?

Solution:

First of all, let us assume the total capacity of the pool.

Let us take LCM of 24, 36 and 32.

LCM of 24, 36 and 32 = 288

Let the total capacity of the pool = 288 units

Total units filled by pipe A in one hour = [tex]\frac{288}{24} = 12\ units[/tex]

Total units filled by pipe B in one hour = [tex]\frac{288}{36} = 8\ units[/tex]

Total units filled by pipe C in one hour = [tex]\frac{288}{32} = 9\ units[/tex]

Now, for the first 3 hours, only pipe A operates, so units filled in first three hours = [tex]12\times 3 =36\ units[/tex]

For the next one hour, A and B both operate together, so units filled in the next 1 hour = 12 + 8 = 20 units

Total number of units filled in 4 hours = 36 + 20 = 56 units

Units to be filled to completely fill the pool = 288 - 56 = 232 units

Now, after the 4th hours, all the pipes operate together.

So, number of units filled in each hour = 12 + 8 + 9 = 29 units

Time taken to fill 232 units = [tex]\frac{232}{29} = 8\ hours[/tex]

Total time taken = 4 + 8 = 12 hours

Answer:

1/2

Step-by-step explanation:

Look at a corresponding side

For example, AB in the first triangle and DE in the second.

One side is 18 while the other is 9. To get from 18 to 9 is to multiply 18 by 1/2.

Answer:

Proportionality constant = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

From the graph attached,

Data set representing the relation between seeing lightning and the hearing thunder is,

{(15, 3), (25, 5), (35, 7), (45, 9)}

Since, Distance from lightening (d) ∝ Time between lightening and thunder (t)

d = kt

Here k = proportionality constant

k = [tex]\frac{d}{t}[/tex]

From the data set one point is (15, 3).

k = [tex]\frac{3}{15}[/tex]

k = [tex]\frac{1}{5}[/tex] miles per second

Therefore, proportionality constant is [tex]\frac{1}{5}[/tex] miles per second.

Answer:

6/5

Step-by-step explanation:

you multiply by 2

Answer:

It’s c

Step-by-step explanation:

Answer:

14 2/7 x 4 3/10 is  61 3/7

Step-by-step explanation:

Answer:

it is 33÷9

Step-by-step explanation:

33÷9=3.66

366.6%

Answer:

33/9, or 11/3 (Simplified)

Step-by-step explanation:

Since the question is the ratio of plums to apples, the plums will be on top and the apples on bottom. It is 33 to 9, or 33/9, but this can be simplified to 11/3.