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Alekssandra [29.7K]
3 years ago
9

Contains the origin and is parallel to the line 3x-2y=12

Mathematics
1 answer:
scoray [572]3 years ago
6 0
Two parallel lines have the same slope.
the slope of the given line is: -2y=-3x+12
y=3/2x -6
so the slope is 3/2
the new line passes (0,0), so the equation is simply: y= \frac{3}{2} x
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The school has a $500 budget for pizza. Pizza costs $15 per pie and the school orders 27 of them. How much money will be left in
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Step-by-step explanation:

27×15=405 which means there is 95$ left

3 0
3 years ago
a hotel has a number of meeting rooms,m,available for events. each meeting room has social 325 chairs .write an equation to repr
chubhunter [2.5K]

Answer: The required equation be

c=325m

Step-by-step explanation:

Since we have given that

Let the number of meeting rooms a hotel has be m

Number of social chairs each meeting room has =325

So, total number of chairs m number of meeting rooms will have

325\times m=325m

Let the number of chairs be c

According to question, we get

c=325m

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c=325m

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3 years ago
Which of the following is NOT an example of a repeated-measures design?
Fed [463]
B is correct because I know
3 0
3 years ago
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Find the values of e, a, b, and c for r = 24/(4 + 2sin theta)
Kaylis [27]

Answer:

Step-by-step explanation:

r=24/(4+2sin θ)

4r+2r sin θ=24

divide by 2

2r+r sin θ=12

2√(x²+y²)+y=12

2√(x²+y²)=12-y

squaring

4(x²+y²)=144-24y+y²

4x²+3y²+24y=144

4x²+3(y²+8y+16-16)=144

4x²+3(y+4)²-48=144

4x²+3(y+4)²=144+48

4x²+3(y+4)²=192

divide by 192

\frac{x^2}{48}+\frac{(y+4)^2}{64}=1

which is an ellipse with centre(0,-4) major axis on y-axis.

a^2=64\\a=8\\major axis=2*8=16\\b^2=48\\b=4\sqrt{3}\\minor ~axis=2*4 \sqrt{3}=8 \sqrt{3}\\b^2=a^2(1-e^2)\\48=64(1-e^2)\\1-e^2=48/64=3/4\\e^2=1-3/4=1/4\\e=1/2\\c^2=a^2-b^2\\c^2=64-48=16\\c=4

7 0
4 years ago
Martha has saved 2,700 to share with her family . She divides one -third of her saving equally between her two children , lola a
VikaD [51]

Answer:

150

Step-by-step explanation:

one third of 2700 = 900

900/2 = 450

450/3 = 150

6 0
3 years ago
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