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3 years ago

Which equation represents a proportional relationship between the x and y values?

Mathematics

1 answer:

Jet001 [13]3 years ago

8 0

Answer:

Step-by-step explanation:

A proportional relationship is depicted by the changes in one variable with respect to the other.

Let us test the values

Assume x = 2, 3 and 4 for all options

A) y + 4 = 3x,

y= 3x - 4

If x = 2, y = 2

if x = 3, y = 5

If x = 4, y = 8

B) y − 3x = 0

y = 3x

If x = 2, y = 6

If x= 3, y = 9

If x = 4 , y = 12

C) y + 5x = 6

y = 6-5x

If x = 2, y = -4

If x = 3, y = -9

If x = 4, y = -14

D) y + 1/4x = 2

y = 2 - 1/4x

If x = 2, y = 15/8

If x = 3, y = 23/12

If x = 4, y = 31/16

equations B and C represents a proportional relationship between the x and y values. A change in x always results to a corresponding and proportional change in y

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Given: Triangle ABC, AC=BC, AB=3, line segment CD is perpindicular to line segment AB, CD= sqrt 3 find AC

TEA [102]

Based on the data given, the length of line segment AC is 2.29

<h3>What is the length of side AC?</h3>

Based on the given data:

AC=BC
AB=3
line segment CD is perpendicular to line segment AB
CD= sqrt 3

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

The length of AD = 3/2

$AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29$

In conclusion, the length of AC is 2.29

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2 years ago

Could someone help me with this question? i don't know how to really work this out Order Of Operations

lozanna [386]

Answer:

Step-by-step explanation:

2[45/(11-8)^2]

=2[45/(3)^2]

=2[45/9]

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3 years ago

A population of rabbits doubles evey 4 months. if the population starts out with 8 rabbits how many rabbits will there be in 1 y

Arlecino [84]

Well. You start with two rabbits, and it triples every month, so:

0 months: 2 rabbits.
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3 months: 18*3 = 54 rabbits.

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3 years ago

IM TIMED HELP THANK YOU Dion predicted that he would sell 87 art prints. He actually sold 100 art prints. What are the values of

Feliz [49]

Answer:

Explanation:

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-Toshino

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3 years ago

Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars. What is the mean absolute deviat

Daniel [21]

If number of cars recorded by Lynn is 1, 1, 2, 2, 2, and 4 cars then the mean absolute deviation of the number of cars is 0.7

<h3>What is the mean absolute deviation?</h3>

The mean absolute deviation of a data set is the average of the absolute deviations from a central point .

Data we have is

1,1,2,2,2,4

Mean can be calculated as

$&\text { Mean }=\frac{1+1+2+2+2+4}{6}\\ \\&\text { Mean }=\frac{12}{6} \\\\&\text { Mean }=2$

Absolute value between the data points and mean can be calculated as :

$\begin{aligned}&|1-2|=1 \\&|1-2|=1 \\&|2-2|=0 \\&|2-2|=0 \\&|2-2|=0 \\&|4-2|=2\end{aligned}$

Now mean absolute deviation can be calculated as :

$\begin{aligned}&\frac{1+1+0+0+0+2}{6} \\\\&=\frac{4}{6} \\\\&=0.66\end{aligned}$$$

Rounding to nearest ten

mean absolute deviation=0.7

If number of cars recorded by Lynn is 1, 1, 2, 2, 2, and 4 cars then the mean absolute deviation of the number of cars is 0.7

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2 years ago