Determine each segment length in right triangle ABC

The constant of proportionality between y and x in the graph is 3/2 option third is correct.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have a graph shown in the picture.

As we can see, the given graph shows a line, which passes through (0, 0)

y = ax

a is the constant of proportionality.

We have two points (0, 0) and (6, 9) (from the graph)

From the above two points, we can find the equation of a line.

y = (9/6)x

y = (3/2)x

The value of the constant of proportionality is 3/2

Thus, the constant of proportionality between y and x in the graph is 3/2 option third is correct.

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Step-by-step explanation:

problem 1.

1. 6y = 30

2. y = 5

3. 3x + 2(5) = 16

4. 3x+10=16

5. 3x=6

6. x=2

solution: (2,5)

problem 2.

1. x=7

2. 4(2)-2y=18

3. 28-2y=18

4. -2y= -10

5. y=5

solution (7,5)

problem 3

10x=10

x=1

7(1) +y =-2

y=-9

(1,9)

problem 4

0= -6

no solution

problem 5

0=0

Infinite many

Answer:

Step-by-step explanation:

Angles 1 and 3 form a linear pair so they sum to 180°.

Substitute the values and solve for x

Find the measure of ∠1

Answer:

5

Step-by-step explanation:

→ The radius is square root of the last number which is usually denoted by r² in the format ( x - a )² + ( y - b )² = r²

Answer:

Step-by-step explanation:

Muscular Endurance - The ability of a skeletal muscle or group of muscles to continue contracting over a long period.

Step-by-step explanation:

I hope it'll help you...

Answer:

Muscular endurance is the ability of a muscle or group of muscles to sustain repeated contractions against a resistance for an extended period of time.

Step-by-step explanation:

:)

The coordinates of the image of (-3, -7) after the translation will be equal to .(-12,2)

The process of changing the location of the image on the coordinate system will be known as the translation. Here the image is translated as (x-9,y+9).

The given coordinate of the point is:- (-3,-7)

So the translation will be calculated as:-

=(x-9,y+9 )

=(-3-9,-7+9

=(-12,2)

Hence coordinates of the image of (-3, -7) after the translation will be equal to (-12,7)

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Answer:

its 90

Step-by-step explanation: multiply it 6 by 14 feet, than add 6.  

6*14=84+6=90

Answer:

90

Step-by-step explanation:

trust me

Answer:

7.1

Step-by-step explanation:

if we put this into a number sentence it will be 0.71*10 which is 7.1

Answer:

beds in the hospital ≤ 47

Step-by-step explanation:

No more 47 means not greater than 47.

But can be = to 47 or less than it.

Answer:

it a nice graph I made

Step-by-step explanation:

yeah just click the image

Answer:

x = 6.4

Step-by-step explanation:

Taking the sin ratio of the angle :

Answer:

13 gallons of gas.

Step-by-step explanation:

If amelia used 16 gallons of gas for 656 miles, she is traveling 41 miles per gallon. (656 divided by 16). So we take the amount she needs to travel which is 533, and divide it by 41 because 41 miles is equal to one pound of gas, so, 533 divided by 41 is 13, she needs 13 gallons of gas to travel 533 miles.

Answer:

monomial

Step-by-step explanation:

Answer: 15.01

Step-by-step explanation:

Answer:

Step-by-step explanation:

12P3 = 12! / (12-3)!

= 12*11*10

= 1320.

8C7 = 8!/7! *(8-7)!

= 8.

Answer:

2.6

Step-by-step explanation:

 A= -1.3

B=1.3

1.3--1.3=2.6

Answer:

2.6 units

Step-by-step explanation:

If you round down the distance is 2. then you all the 2 decimals 0.3 and 0.3 to get 2.6 units.

Hi Student!

This question is pretty straight-forward because it is asking for us to solve to equation using square roots.  We don't need to find any important information as this problem is pretty simple.  We just need to use some algebra to move numbers around and we will get our answer.

Add 81 to both sides

Square root both sides

Therefore, after solving for x we were able to determine that the solutions that we have for this equation are both 9 and -9.  If we want to test this we can plug in the values into x and we would see that both 9 and -9 would produce the same results as negatives don't matter when we are squaring numbers.

Answer:

5 pens = 15$ and 4 pencils = 4$

Step-by-step explanation:

7-3=4, so 4 pens is 12$

12/4 = 3, so 1 pen = 3$

Remove the pens from the equation

7x3=21

24-21=3

3/3=1, so each pencil costs 1$

4 pencils and 5 pens are worth $23.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let the cost of one pencil be x, and the cost of one pen be y.

Then we can set up the following system of equations based on the given information:

3x + 7y = 24 ...(1)

3x + 3y = 12 ...(2)

Solving these two equations, we can find that x = 2 and y = 3.

Now, we can use these values to find the cost of 4 pencils and 5 pens:

4x + 5y = 4(2) + 5(3) = 8 + 15 = $23

Therefore,

4 pencils and 5 pens are worth $23.

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Make dots at the given x and y values and draw a line through them.

see attached image

A free market is one where voluntary exchange and the laws of supply and demand provide the sole basis for the economic system, without government intervention. A key feature of free markets is the absence of coerced (forced) transactions or conditions on transactions.

Answer:

[tex]x=\frac{\pi}{2}, x =\frac{3\pi}{2}[/tex]

Step-by-step explanation:

The best evidence to show which diver had greater overall success is Marta was more successful because she had the greater total spread.

Box Diagram provides a quick visual summary of the variability of values ​​in a dataset. They show the median values, upper and lower quartiles, minimum and maximum values, and any outliers in the dataset.

In this case, the  total spread of Ani is from 4.5 to 9.5 and the  total spread of Marta is from 4 to 10, we can conclude that Marta was more successful than Ani because of greater total spread.

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Answer:

[tex]P(\text{Disney}| \text{Pixar})\approx0.929[/tex]

Step-by-step explanation:

[tex]P(\text{Disney}| \text{Pixar})=\frac{P(\text{Disney and Pixar})}{P(\text{Pixar})}\\\\P(\text{Disney}| \text{Pixar})=\frac{0.65}{0.70}\\\\P(\text{Disney}| \text{Pixar})\approx0.929[/tex]

Answer:

Exact form: y = [tex]\frac{14}{5}[/tex]

Decimal form: y = 2.8

Step-by-step explanation:

Distribute:

6(2y - 3) - 10 = 2y

12y - 18 - 10 = 2y

Subtract the numbers:

12y - 18 - 10 = 2y

12y - 28 = 2y

Add 28 to both sides:

12y - 28 = 2y

12y - 28 + 28 = 2y + 28

Simplify:

Add the numbers

12y = 2y + 28

Subtract 2y from both sides:

12y = 2y + 28

12y - 2y = 2y + 28 - 2y

Simplify:

Combine like terms

10y = 28

Divide both sides by the same factor:

10y = 28

10y/10 = 28/10

Simplify:

Cancel terms that are in both the numerator and denominator

Divide the numbers

y = 14/5

Answer:

$22,883

Step-by-step explanation:

Principal Amount ( P ) = $16250

Interest Rate ( r ) = 4.9% or 0.049( divide by 100)

Term ( t ) = 7

Compounded monthly( n ) = 12

Formula for Compound Interest:

A = P ( 1 + r/n)^nt

A = Future value

Solution:

Substitute the given values of P, r, n and t to the formula for the compound interest.

A = $16250 ( 1 + 0.049/12)^(7)(12)

A = $16250 ( 1.004083333)^(84)

A = $16250 ( 1.408184955 )

A = $22,883