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3 years ago

What is (4x^3) divided by (2x)

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:

2x^2

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

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What is an equation of the line that passes through (2,2) and is parellel to the line y=7x

laila [671]

Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line $y=7x$ is $y=7x-12$

Step-by-step explanation:

Given:

a line $y=7x$

To Find:

Equation of line passing through ( 2, 2) and is parellel to the line y=7x

Solution:

$y=7x$ ...........Given

Comparing with,

$y=mx$

Where m =slope

We get

$Slope = m = 7$

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.

Now the equation of line in slope point form given by

$(y-y_{1})=m(x-x_{1})$

Substituting the points and so we will get the required equation of the line,

$(y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line$

Therefore, equation of the line that passes through (2,2) and is parellel to the line $y=7x$ is $y=7x-12$

4 0

3 years ago

A car is traveling at 47 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answe

Amiraneli [1.4K]

Answer:

3676.44 rad/min

Step-by-step explanation:

It is a problem about the angular speed of the car's wheel.

You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:

$\omega=\frac{v}{r}$ ( 1 )

v: speed of the car = tangential speed of the wheels = 47mph

r: radius of the wheels = 27/2 in = 13.5 in

you change the units of the speed:

$47mph*\frac{63360in}{1mille}*\frac{1h}{60min}=49632\frac{in}{min}$

next, you replace the values of v and r in the equation (1):

$\omega=\frac{v}{r}=\frac{49632in/min}{13.5in}=3676.44\frac{rad}{min}$

Then, the car's tires are turning with an angular speed of 3676.44 rad/min

8 0

3 years ago

What is a solution to (x + 6)(x + 2) = 60?

Elden [556K]

Answer:

Ox=4

Step-by-step explanation:

expand he equation

x²+8x-48=0

using substitution method (of the options)

4 substituted as X eliminates all an results to zero

16+32-48=0

please mark brainliest

4 0

3 years ago

Solve for x. 50 = x^2 Show your work.

Tanzania [10]

50 = x^2

To isolate x you need to do the opposite of an exponent, which would be square root.

$\sqrt{50} = x Next solve what the square root of 50 is[tex]5\sqrt{2}$ = x

That is the exact form, in other words your answer, if teacher is looking for a decimal, it would be

7.07 = x

6 0

3 years ago

Read 2 more answers

Find the ratio y:x, if 3x=11y,

Aleks [24]

Answer:

3:11

Step-by-step explanation:

3x=11y

Rearrange to the format of the ratio.

11y = 3x

Let's find y/x. y/x is y:x.

11y = 3x

Divide both sides by 11.

11y/11 = 3x/11

y = 3x/11

NOW LET'S DIVIDE BOTH SIDES BY x TO GET x AS THE DENOMINATOR OF y.

y = 3x/11

y/x = (3x/11)/x

y/x = (3x/11) * 1/x

y/x = 3/11

Therefore, y:x = 3:11

Please thank, rate 5 stars, and give brainliest. Thank you.

7 0

3 years ago