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3 years ago

11

A family is driving 1,036 miles to visit the Blue Ridge Parkway. If they travel at an average of 56 miles per hour, how long wil

l it take to get there?

1 answer:

MatroZZZ [7]3 years ago

6 0

Answer:

18.5 hours will take

Step-by-step explanation:

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The formula for potential energy is P = mgh. Solve the equation for h.

Liono4ka [1.6K]

Answer:

P = mgh

P/mg = h

We can divide both sides by mg, since both mass and gravity are being multiplied and not added.

Hope this helps!! :)

Step-by-step explanation:

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3 years ago

How do you find the question mark on #4?

kiruha [24]

64÷2 =32
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3 years ago

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

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3 years ago

Elan Coil [88]

Answer:

{x,y,z} = {-22/13,29/13,6/13}

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2 years ago

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Eitan is on a train heading west into the city while Dmitri is on a train on the adjacent track heading east, away from the city

siniylev [52]

The time when the two trains reach each other is 1.25 hours
The trains are 68.75 away from the city when they reach each other.

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3 years ago

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