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3 years ago

Solve for x. (PLEASE HELP)

Mathematics

1 answer:

nexus9112 [7]3 years ago

7 0

9514 1404 393

Answer:

x = 6

Step-by-step explanation:

The parallel lines divide the sides proportionally. So, we can write the equation ...

x/4 = (x +3)/6

3x = 2(x +3) . . . . . multiply by 12

x = 6 . . . . . . . . . . . subtract 2x

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Endpoint given the Midpoint: * The midpoint of RP is M(2, 4). If one of the end points is R(-1,7), find the coordinates of the o

marin [14]

Answer:

The coordinates of other point are: (5,1)

Step-by-step explanation:

Given coordinates are:

M(x,y) = (2,4)

R(x_1,x_2) = (-1,7)

We have to find the coordinates of other point (x2,y2)

The formula for mid-point is given by:

$M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Putting the values we get

$(2,4) = (\frac{-1+x_2}{2}, \frac{7+y_2}{2})$

Putting respective elements equal

$\frac{-1+x_2}{2} = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\\frac{7+y_2}{2} = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1$

Hence,

The coordinates of other point are: (5,1)

8 0

3 years ago

a randon sample of 16 bookcases in one company have a mean height of 67.5 inches and a standard deviation of 2.1 inches. Constru

Lynna [10]

Answer:

For 99% of confidence interval is 67.5±1.3524

Step-by-step explanation:

Given:

Mean height =67.5 inches

Standard deviation:2.1 inches

Z at 99%.

No of samples 16.

To find:

confidence interval

Solution:

We have formula for confidence interval,

=mean ±Z*{standard deviation/sqrt(no.of observation)}

Now

Z=99%

has standard value as ,

Z=2.576

Confidence interval= mean±Z{standard deviation/sqrt(No. of samples)}

=67.5±2.57{(2.1/sqrt(16)}

=67.5±2.576(2.1/4)

=67.5±1.3524

5 0

3 years ago

Find the volume of each ball. use the formula. where v is the volume and r is the radius. record the volume in table A of your s

pochemuha

Answer:

The volume of tennis ball = 38.808 $cm^{3}$ .

Volume of golf ball = 33.523 $cm^{3}$ .

Step-by-step explanation:

Given: The radius of the tennis ball is 2.1cm and the radius of thr golf ball is 2.0cm. the formula is V=4πr(to the 3rd power) /3 .

To find: Volume of tennis ball and golf ball .

Formula used: Volume = $\frac{4 π r^{3} }{3}$ .

pi(π) = $\frac{22}{7}$ .

Explanation : We are given that

Radius of the tennis ball = 2.1 cm

radius of the golf ball =2.0 cm.

We need to find the volume of each ball

So , plugging the given values of radius in above formula

Volume of the tennis = $\frac{4*22(2.1)^{3} }{3*7}$

On simplification we get, volume of tennis ball = 38.808 $cm^{3}$

Volume of the golf ball= $\frac{4*22(2.0)^{3} }{3*7}$

On simplification we get, volume of golf ball = 33.523 $cm^{3}$

Therefore , The volume of tennis ball = 38.808 $cm^{3}$ .

Volume of golf ball = 33.523 $cm^{3}$ .

7 0

3 years ago

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30 points Given (-3, 1) and (3,-3). The slope of the line is ____________ . The equation of the line is _____________.

Liono4ka [1.6K]

Answer:

y = (3/2)x + 11/2

Step-by-step explanation:

As we move from the point (-3, 1) to the point (3, -3), x increases by 6 and y decreases by 4. Thus, the slope is

m = rise / run = 6/4 = 3/2.

Subbing the knowns into the general point-slope form of the equation of a straight line, we get

y - 1 = (3/2)(x - [-3]), or y - 1 = (3/2)(x + 3).

This is equivalent to y = (3/2)x + 9/2 + 1, or y = (3/2)x + 11/2.

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3 years ago

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lilavasa [31]

The volume would be exactly 256.76

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3 years ago