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2 years ago

7

How to find the midpoint of a line segment with 2 given point?

1 answer:

lorasvet [3.4K]2 years ago

7 0

If the 2 given points are endpoints, then we're in business. The formula for the midpoint is $M=( \frac{ x_{1}+ x_{2} }{2}, \frac{ y_{1} + y_{2} }{2})$ . If the endpoints of our segment are the coordinates (1,2) and (12,14), our formula would be filled in as follows: $M=( \frac{1+12}{2}, \frac{2+14}{2})$ which simplifies to (13/2, 8). See? It's pretty simple once you know how to do it.

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Is the following expression true or false? Show your work.

Paul [167]

Answer: True

Solution:

Rearrange the equation to the LHS:

[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0

Factoring x^2+8x+16

x^2 - 4x - 4x - 16

= (x-4) • (x-4)

= = (x+4)2

So now we have an equation

(x + 4)^2 • (x - 4)^2 - (x^2 - 16)^2 = 0

Step 2: Evaluate the following:

(x+4)2 = x^2+8x+16

(x-4)2 = x^2-8x+16

(x^2-16)2 = x^4-32x^2+256

(x^2+8x+16) (x^2-8x+16 ) - (x^4-32x^2+256 )

0 = 0

Hence True

3 0

2 years ago

Find the missing side of this right a triangle?<br> help pls

yaroslaw [1]

Hi, there!

_____

To find the missing side length of this triangle (which is a <em>right</em> triangle), we'll use Pythagoras' Theorem.

$-\!\!\!-\!\!\!-\!\!\!\longrightarrow\boldsymbol{a^2+b^2=c^2}$

Here,

$\textsc{legs:}\begin{cases} \bold{a}\\\bold{b} \end{cases}$

Hypotenuse (the longest side): c

We know that

$\bold{a=2 \ and \ b=28}$

So, we can substitute our parameters, and solve for c.

$\bold{2^2+28^2=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ square 2 and 28

$\bold{4+784=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ add the numbers

$\bold{788=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ square root both sides

$\bold{\sqrt{788}=c}$

Hope the answer - and explanation - made sense,

happy studying!!

6 0

1 year ago

In the X Y -plane, Line crosses the Y - axis at the point (0,3) and passes through the point ( 4,5). Which of the following is a

nikitadnepr [17]

Answer: y = 1/2x + 3

Step-by-step explanation:

Use the equation y=mx +b

Find the slope (m) of the line by finding the difference in y over the difference in x. Or "rise over run".

The y-intercept (b) is 3 (when x is zero, it is y).

4 0

3 years ago

one evening, 2/3 of the students in Rick's class watched television. of this students, 3/8 watched a reality show. Of the studen

Dimas [21]

Answer:

0.0625 of the students recorded the show.

Step-by-step explanation:

2/3×3/8×1/4= the fraction of people who watched and recorded the show (0.0625)

6 0

2 years ago

Mhanifa can you please help this is due asap

sleet_krkn [62]

Answer:

<h3>Question 1 </h3>

<em>Adjacent angles are supplementary, opposite angles are equal</em>

<u>Find x</u>

62 + 5x + 3 = 180
5x = 180 - 65
5x = 115
x = 23

<u>Find y</u>

62 = 3y + 2
3y = 60
y = 20

<h3>Question 2</h3>

<em>Diagonals bisect each other</em>

<u>Find x</u>

4x = 3x + 7
x = 7

<u>Find y</u>

6y = 2y + 16
4y = 16
y = 4

Correct choice is A

6 0

2 years ago