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3 years ago

What is an equation of the line that passes through the point ( 6 , − 1 ) (6,−1) and is parallel to the line x − 3 y = 3 x−3y=3?

Mathematics

1 answer:

Nataly [62]3 years ago

4 0

Answer:

y = 1

Step-by-step explanation:

Passes through (6,-1)(6,-1)

Find the slope (m)

m=(y2 - y1) / (x2 - x1)

m=(-1 - (-1) ) / (6-6)

m= 0

Parallel to x - 3y = 3

-3y = -x +3

y = 1/3 x -1

Equation of the line equation is y - y1 = m ( x - x1 )

y - ( -1 ) = 0 ( x - 6 )

y + 1 = 0

y = 1

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A 12-tooth gear on a motor shaft drives a larger gear having 42 teeth. If the motor shaft rotates at 700 rpm, what is the spee

nata0808 [166]

Answer:

203 rpm

Step-by-step explanation:

The speed of the larger gear can be calculated using the following equation:

$v = \omega*R$

Where:

ω: is the angular velocity of the motor = 700 rpm

R: is the gear ratio

The gear ratio is the following:

$R = \frac{n_{(a)}}{n_{(b)}}$

Where:

n(a): is the number of teeth on the small gear = 12 teeth

n(b): is the number of teeth on the larger gear = 42 teeth

The gear ratio is:

$R = \frac{12}{42} = 0.29$

Now, the speed of the larger gear is:

$v = \omega*R = 700 rpm*0.29 = 203 rpm$

Therefore, the speed of the larger gear is 203 rpm.

I hope it helps you!

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3 years ago

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Neporo4naja [7]

Answer:

v=√

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.

kati45 [8]

Answer:

Substitute in the values of both given coordinates & form 2 equations:

$\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.$

Find the value of B from the equation 2A - B = 1:

$2A-B=1\\-B=1-2A\\B=2A-1$

Substitute in the B-value to the other equation:

$-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}$

Find the B-value using the equation from before:

$B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}$

Therefore the equation Ax + By = 1 would equal:

$\frac{1}{7} x-\frac{5}{7} y=1$

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3 years ago

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bezimeni [28]

Answer:

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3 years ago

To assess the precision of a laboratory scale, we measure a block known to have a mass of 1 gram. we measure the block n times a

vlada-n [284]

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3 years ago