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3 years ago

The midpoint (x, y) and the end point (x2, y2) are known. Find (x1, Y1) using the midpoint formula.

Mathematics

1 answer:

FrozenT [24]3 years ago

3 0

Answer:

(x1,y1) = (2x - x2, 2y - y2)

Step-by-step explanation:

Given:

Midpoint = (x , y)

End point = (x2, y2)

Find:

(x1, y1)

Computation:

Mid-point formula

x = (x1 + x2) / 2 , y = (y1 + y2) / 2

So,

2x = x1 + x2 , 2y = y1 + y2

x1 = 2x - x2 , y1 = 2y - y2

So,

(x1,y1) = (2x - x2, 2y - y2)

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Murrr4er [49]

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3 years ago

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Divide the number 20 into two parts (not necessarily integers) in a way that makes the product of one part with the square of th

Ilya [14]

Answer:

13 1/3 and 6 2/3.

Step-by-step explanation:

Let the 2 parts be x and (20 - x).

So x^2(20 - x) must be a maximum.

y = x^2(20 - x)

y = 20x^2 - x^3

Finding the derivative):

y' = 40x - 3x^2 = 0 for maxm/minm value.

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3 0

3 years ago

Jake bought 3 drawing pens for $8.07. Each pen costs the same amount. About how much did he spend for one pen? * 2 points

Marina86 [1]

Given:

Jake bought 3 drawing pens for $8.07.

Each pen costs the same amount.

To find:

How much did he spend for one pen?

Solution:

Let x be the cost of each pen. Then

Cost of three pens = 3x

Jake bought 3 drawing pens for $8.07.

$3x=8.07$

Divide both sides by 3.

$x=\dfrac{8.07}{3}$

$x=2.69$

Therefore, he spend $2.69 for one pen.

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3 years ago

Cuántos años tendre en 2030 si tengo 16 en 2022?

stepan [7]

¿Cuántos años tendre en 2030 si tengo 16 en 2022?

Resolvamos:

$\: \: {\sf \rightarrow2030 - 2022 = 82030−2022=8}$

$\: \: \sf \rightarrow16 + 8 = 2416+8=24$

Entonces, Tendrás 24 años en 2030.

Espero que te sirva, salu2!!!!

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3 years ago

How to use the results of part (b) and appropriate computation formulas to compute the sample variances s2 and sample standard d

anygoal [31]

$s^2=\displaystyle\sum\frac{(x-\bar x)^2}{n-1}=\frac1{n-1}\sum(x^2-2x\bar x+{\bar x}^2)=\frac{\displaystyle\sum x^2-2\bar x\sum x+{\bar x}^2}{n-1}$

where $\bar x=22$ is the mean. Since

$\sum x^2=2568$
$\sum x=110$

you have variance

$s^2=\dfrac{2568-2(22)(110)+22^2}{5-1}=37$

and so the standard deiviation is

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4 years ago