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3 years ago

Solve the equation for y 9x - 3y = 12

Mathematics

2 answers:

Mekhanik [1.2K]3 years ago

8 0

3y = 9x - 12
y = 3x - 4

i am a mathematics teacher. if anything to ask please pm me

liberstina [14]3 years ago

8 0

I think its 1 for both<span />

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Find the length of the radius of the circle whose perimeter is xcm and the area is

Jobisdone [24]

$\bf \stackrel{\textit{perimeter}}{\textit{circumference}}\textit{ of a circle}\\\\ C = 2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=x \end{cases}\implies x = 2\pi r\implies \boxed{\cfrac{x}{2\pi }=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=x \end{cases}\implies x = \pi \left( \boxed{\cfrac{x}{2\pi }} \right)^2\implies x = \pi \cdot \cfrac{x^2}{2^2\pi^2}$

$\bf x = \cfrac{x^2}{4\pi }\implies 4\pi x = x^2\implies \cfrac{4\pi x}{x}=x\implies \blacktriangleright 4\pi = x\blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since the radius is}}{r = \cfrac{x}{2\pi }}\implies r =\cfrac{4\pi }{2\pi }\implies \blacktriangleright r = 2\blacktriangleleft$

6 0

4 years ago

Read 2 more answers

What is the r-value of the following data, to three decimal places

Mrrafil [7]

<h2>Answer:</h2>

Option: A is the correct answer.

A. -0.903

<h2>Step-by-step explanation:</h2>

The formula to calculate correlation coefficient r is given by:

$r=\dfrac{n\sum xy-(\sum x)(\sum y)}{\sqrt{n(\sum x^2)-(\sum x)^2}\sqrt{n(\sum y^2)-(\sum y)^2}}$

x y xy x² y²

4 23 92 16 529

5 12 60 25 144

8 10 80 64 100

9 9 81 81 81

13 2 26 169 4

-------------------------------------------------------------------------

∑ 39 56 339 355 858

Also n=5 ( as there are 5 data points )

Hence, we get:

$r=\dfrac{5\times 339-39\times 56}{\sqrt{5\times 355-(39)^2}\times \sqrt{5\times 858-(56)^2}}\\\\\\r=\dfrac{-489}{\sqrt{254}\times \sqrt{1154}}\\$

$r=-\dfrac{489}{541.40188}=-0.9032$

Hence, the r-value of the following data, to three decimal places is:

A. -0.932

8 0

3 years ago

2x+1=2x-1<br> please help asap

lbvjy [14]

Answer:

do we have to simplify it ??

4 0

3 years ago

Write a set of data with six values that has a mean of 28, median of 29, and a range of 18

Basile [38]

Mean is average example
mean of x,y,z is (x+y+z)/3

so 6 values
mean of 28
that means that they add up to 168

median means the middle number when you arrange them
range means the distance from smallest number to largest number

an example

18,27,29,29,29,36

4 0

3 years ago

4. Caroline gets into a car accident. She is

Scrat [10]

Answer:

525,000 N

Step-by-step explanation:

Since Force is mass multiplied by acceleration, you have to create the equation 25000*21 m/s^2.

25000*21 = 525000

She hit the parked car with 525,000 Newtons of force.

7 0

3 years ago