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seropon [69]
3 years ago
14

I need help on this question

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0

Answers : A and D

Step - by - step explanation :

tip : when finding constant of proportionality it's always Y divided by X

A = what is 22.5 divided by 3 ?  7.5 ( now multiply 7.5 by the next X [ 4 ] )

what is 7.5 x 4 ?  30 ( and since on the graph it also says 30 then you can assume this one has a proportional relationship )

B = what is 12 divided by 3 ?  4 ( now multiply 4 by the next X [ 5 ] )

what is 4 x 5 ?  20 ( and because the graph says 25 then you know it's NOT a proportional relationship )

C = what is 8.5 divided by 2 ?  4.25 ( now multiply 4.25 by the next X [ 5 ] )

what is 4.25 x 5 ?  21.25 ( and because the graph says 22.5 then you know it's NOT a proportional relationship )

D = what is 10 divided by 2 ?  5 ( now multiply 5 by the next X [ 3 ] )

what is 5 x 3 ?  15 ( and since on the graph it also says 15 then you can assume this one has a proportional relationship )

( sorry it took me so long to write this )

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Use the elimination method to solve this system.
leva [86]

Answer:

The solution for this system is: x = -1, y = 1

Step-by-step explanation:

The problem states that we have to solve this system by the elimination method

In the elimination method, we transform the system in such a way that one variable can cancel each other. With this, we find the result of the other variable. Then, we can replace the variable we found in any of the equations, and we have the value of the variable that we had initially canceled.

In this problem, we have the following system:

1) -6x + 5y = 1

2) 6x + 4y = -10

If we add equations 1) and 2), the variable x is going to be eliminated

1) + 2)

-6x + 6x + 5y + 4y = 1 - 10

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y = \frac{-9}{9}

y = -1

Now, we can replace the value of y in any of the equations, to find x:

I will replace in equation 2)

6x + 4y = -10

6x + 4(-1) = -10

6x = -6

x = \frac{-6}{6}

x = -1

The solution for this system is: x = -1, y = 1

5 0
3 years ago
Convert from rectangular to polar coordinates: note: choose rr and θθ such that rr is nonnegative and 0≤θ<2π0≤θ<2π (a)(9,0
DochEvi [55]

Answer:

Step-by-step explanation:

Convert rectangle (x , y) to polar coordinates ( r , θ)

x=r  \cos \theta, y= r \sin \theta

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a) converts (9, 0) to polar coordinates  ( r , θ)

r=\sqrt{x^2+y^2} \\\\=\sqrt{9^2+0} \\\\=9

\theta= \tan^-^1 (\frac{0}{9} )\\\\=0

b) Convert (18,\frac{18}{\sqrt{3} } ) to polar coordinates ( r, θ)

r = \sqrt{18^2+(\frac{18}{\sqrt{3} })^2 } \\\\=\sqrt{324+108} \\\\=\sqrt{432}

\frac{x}{y} \theta = \tan^-^1(\frac{\frac{18}{\sqrt{3} } }{18} )\\\\= \tan ^-^1(\frac{1}{\sqrt{3} } )\\\\= \frac{\pi}{6}

c)  converts (-5, 5) to polar coordinates  ( r , θ)

r =\sqrt{(-5)^2+(5)^2} \\\\=\sqrt{50} \\\\=5\sqrt{2}

\theta=\tan^-^1(\frac{5}{-5} )\\\\= \tan^-^1(-1)\\\\=\frac{3\pi}{4}

d)  converts (-1, √3) to polar coordinates  ( r , θ)

r=\sqrt{(-1)^2+(\sqrt{3})^2 } \\\\= \sqrt{4} \\\\=2

\theta=\tan^-^1(\frac{\sqrt{3} }{-1} )\\\=\tan^-^1(-\sqrt{3} )\\\\=\frac{2\pi}{3}

= \frac{2\pi}{\sqrt{3} }

6 0
3 years ago
There are 6 math classes in 8th grade. 5 are equally sized and the 6th class has 32 students. If there are a total of 202 studen
butalik [34]

Answer:

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1 year ago
When performing tests involving two or more populations it is important to specify which population is population 1 and which is
iris [78.8K]
Answer:



a. True







Explain:

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1.Draw Angle POQ of measure 75° and find its line of symmetry<br><br> Pls answer with steps
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Step-by-step explanation:

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3 years ago
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