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2 years ago

Find the constant of proportionality (r) in the equation y=rx

Mathematics

2 answers:

ahrayia [7]2 years ago

8 0

Answer:

r = $\frac{1}{4}$

Step-by-step explanation:

Given the proportional equation

y = rx ← r is the constant of proportion

Divide both sides by x

$\frac{y}{x}$ = r

Use any ordered pair from the table.

Using (8, 2 ) , then

r = $\frac{2}{8}$ = $\frac{1}{4}$

Vlad1618 [11]2 years ago

4 0

Answer:

1/4

Step-by-step explanation:

Multiplying the input (x) by (1/4) results in the output. This is direct proportion, and the constant of proportionality is (1/4).

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HELP ME WITH THIS!!!!!!!!!

Aneli [31]

The first answer is 8

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2 years ago

HELP PLEASE ASAP

Pie

$\bold{\huge{\underline{ Solution }}}$

We have, 

Line segment AB
The coordinates of the midpoint of line segment AB is ( -8 , 8 )
Coordinates of one of the end point of the line segment is (-2,20)

Let the coordinates of the end point of the line segment AB be ( x1 , y1 ) and (x2 , y2)

Also, 

Let the coordinates of midpoint of the line segment AB be ( x, y)

We know that,

For finding the midpoints of line segment we use formula :-

$\bold{\purple{ M( x, y) = }}{\bold{\purple{\dfrac{(x1 +x2)}{2}}}}{\bold{\purple{,}}}{\bold{\purple{\dfrac{(y1 + y2)}{2}}}}$

According to the question,

The coordinates of midpoint and one of the end point of line segment AB are ( -8,8) and (-2,-20) .

For x coordinates :-

$\sf{ -8 = }{\sf{\dfrac{(- 2 +x2)}{2}}}$

$\sf{2}{\sf{\times{ -8 = - 2 + x2 }}}$

$\sf{ - 16 = - 2 + x2 }$

$\sf{ x2 = -16 + 2 }$

$\bold{ x2 = -14 }$

For y coordinates :-

$\sf{ 8 = }{\sf{\dfrac{(- 20 +x2)}{2}}}$

$\sf{2}{\sf{\times{ 8 = - 20 + x2 }}}$

$\sf{ 16 = - 20 + x2 }$

$\sf{ y2 = 16 + 20 }$

$\bold{ y2 = 36 }$

Thus, The coordinates of another end points of line segment AB is ( -14 , 36)

Hence, Option A is correct answer

7 0

2 years ago

Mark made a business trip of 259.5 miles. He averaged 59mph for the first part of the trip and 57mph for the second part. If the

max2010maxim [7]

Answer:

Step-by-step explanation:

d = r * t

Let the time at 59 miles / hour be t

59*t + 57* (4.5 - t) = 259.5 Remove the brackets

59*t + 256.5 - 57*t = 259.5 Combine the left

2t + 256.5 = 259.5 Subtract 228 from both sides

2t = 259.5 - 256.5 Combine

2t = 3 Divide by 2

t = 1.5

So he spent 1.5 hours going at 59 miles per hour

He spent 4.5 - 1.5 = 3 hours going 57 miles per hour.

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2 years ago

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Alik [6]

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g(x) = x^3 + 2x^2 − 25x − 50
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2 years ago

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Y_Kistochka [10]

Answer:

23.3786

Step-by-step explanation:

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x = tan33°×36

x = 23.3786

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2 years ago

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