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2 years ago

S= 2pier^2 + 2pierh , solve for h

1 answer:

3 0

$2pier^2+2pierh=S\ \ \ |subtract\ 2pier^2\ from\ both\ sides\\\\2pierh=S-2pier^2\ \ \ \ |divide\ both\ sides\ by\ 2pier\\\\\boxed{h=\dfrac{S-2pier^2}{2pier}\ other\ form\ h=\dfrac{S}{2pier}-r}$

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PQRS is a parralelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j. find the position vector of P

g100num [7]

The value of the variable x = 6 and y = 5. Then the position vector of P will be 6i + 5j.

<h3>What is the equation of a line passing through two points?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.

Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).

Let the point P be (x, y).

We know that the slope of the line QS and PQ will be same and line is passing through (-3, -8).

y = 1.444x + C

-8 = 1.444 (-3) + C

C = -3.667

Then the equation will be

y = 1.444x – 3.667 …1

The slope of the line PQ and RS will be same and line is passing through (5, 7).

y = -2x + D

7 = -2 (5) + D

D = 17

Then the equation will be

y = -2x + 17 …2

By solving equation 1 and 2, we have

x = 6 and y = 5

Then the position vector of P will be

⇒ 6i + 5j

The graph is given below.

Learn more about straight-line equations here:

brainly.com/question/380976

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6 0

1 year ago

In science class we discovered that 7/8 of an apple is water.What fraction of the apple is not water?

nevsk [136]

Answer:

1/8

Hope this helps

4 0

2 years ago

Read 2 more answers

16^1/4 = <br> a. 1/2<br> b. 2<br> c. 4

stiv31 [10]

Answer:

Step-by-step explanation:

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2 years ago

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Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5). What are the coordinates after the two transformations: Translati

igor_vitrenko [27]

Given :

Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5).

To Find :

The coordinates after the two transformations:

a) Translation (x, y) --> (x - 2, y - 1) .

b) Rotation: 90 degrees counterclockwise at the origin.

Solution :

Applying transition a) , we get :

R'(2-2,3-1) , S'(-2-2,1-1) , T'(-1-2,5-1)

R'( 0, 2) , S'( -4 , 0), T'( -3, 4)

Now , When any point ( h , k ) is rotated 90° counterclockwise about the origin, the new points are (-k , h) .

So , R''( -2, 0) , S''( 0, -4 ) , T''( -4 , -3 ) .

Therefore , the coordinates after transformations are

( -2, 0) ,( 0, -4 ) , ( -4 ,-3 ) .

Hence , this is the required solution .

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2 years ago

The balance after the grace period is $25,000. A payment of $5,000 is made on the 10th day. A payment of $5,000 is made on the 2

MariettaO [177]

The average daily balance after 20 days is; $1750

<h3>Average Balance</h3>

The initial balance after grace period is; $25,000

Afterwards, A payment of $5,000 each is made on the 10th and 20th day.

Hence, the total balance after 20 days is;

= $25,000 + $5000 + $5000

= $35,000.

The average daily balance is therefore the quotient of $35,000 and 20 days

The average daily balance = $35,000/20

Average daily balance = $1750