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VLD [36.1K]
2 years ago
12

What is the constant of proportionality in the equation 3y=2x

Mathematics
2 answers:
Inessa05 [86]2 years ago
4 0

Answer:

2/3

Step-by-step explanation:

3y = 2x

Divide each side by 3

3y/3 = 2x/3

y = 2/3 x

The  direct variation relationship is

y = kx

In this case k = 2/3

Zanzabum2 years ago
4 0

Answer:

2/3

Step-by-step explanation:

3y = 2x (Divide each side by 3)

3y/3 =2x/3

y=2/3x

so the direct variation relationship is

y=mx (m constant of proportionality)

In this case m is

2/3

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HELP
Otrada [13]

Answer:

(x + 2)² + (y + 9)² = 49

Step-by-step explanation:

Equation:

(x - h)² + (y - k)² = r²

(x - -2)² + (y - -9)² = 7²

(x + 2)² + (y + 9)² = 49

5 0
3 years ago
Read 2 more answers
What number sets do 17/3 belong to?​
Delicious77 [7]

Answer:

it is an improper fraction

Step-by-step explanation: mixed=5  2/3 is the mixed fraction

8 0
3 years ago
Grade 7 Checkpoint 4- Part 1
zhannawk [14.2K]

Answer:

26

Step-by-step explanation:

Its 26 because we know that the other side of the line we know that it is 90 degrees so we subtract 90 from 64 and get 26 degrees

I'm in 6th grade by the way

3 0
2 years ago
Rozlyn invested $2000 in an account that pays 4.25% annual
densk [106]

9514 1404 393

Answer:

  $850

Step-by-step explanation:

The amount of interest earned is ...

  I = Prt . . . . . on principal P at annual rate r for t years

Using the given values, the interest earned is ...

  I = $2000·0.0425·10 = $850

The interest Rozlyn's account earns in 10 years is $850.

4 0
3 years ago
Please help asap!!! i dont understand it
pshichka [43]

Answer:

a

Step-by-step explanation:

A perpendicular bisector, intersects a line at its mid point and is perpendicular to it.

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13)

m = \frac{13-1}{9-(-7)} = \frac{12}{9+7} = \frac{12}{16} = \frac{3}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{3}{4} } = - \frac{4}{3} ←  slope of perpendicular bisector

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

(\frac{x_{1}+x_{2}  }{2}, \frac{y_{1}+y_{2}  }{2} )

using (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13) , then

midpoint = ( \frac{-7+9}{2}, \frac{1+13}{2} ) = ( \frac{2}{2}, \frac{14}{2} ) = (1, 7 )

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{4}{3} , then

y = - \frac{4}{3} x + c ← is the partial equation

To find c substitute the midpoint (1, 7) into the partial equation

7 = - \frac{4}{3} + c ⇒ c = \frac{21}{3} + \frac{4}{3} = \frac{25}{3}

y = - \frac{4}{3} x + \frac{25}{3} ← equation of perpendicular bisector

7 0
2 years ago
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