All categories

2 years ago

a segment has a midpoint (-2,9) and one endpoint (2,8). what is the x coordinate of the other endpoint?

Mathematics

1 answer:

svetoff [14.1K]2 years ago

3 0

<em>The x coordinate of the other endpoint is -6</em>

<h2>Explanation:</h2>

The midpoint formula can be found as:

$M(x,y)=\lef(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )$

So we have the midpoint:

$(-2,9)$

and an endpoint:

$(2,8)$

So, we can find the x coordinate of the other endpoint, say, $x_{2}$ as:

$x=\frac{x_{1}+x_{2}}{2} \\ \\ Isolating \ x_{2}: \\ \\ x_{1}+x_{2}=2x \\ \\ x_{2}=2x-x_{1} \\ \\ x=-2 \\ \\ x_{1}=2 \\ \\ x_{2}=2(-2)-2 \\ \\ x_{2}=-4-2 \\ \\ x_{2}=-6$

In conclusion, <em>the x coordinate of the other endpoint is -6</em>

<h2>Learn more:</h2>

Finding midpoint: brainly.com/question/13773601

#LearnWithBrainly

You might be interested in

What are all of these answers?

mina [271]

106

1573

53400

dfsgdjkhlkfjg

hope this helps X D

5 0

3 years ago

Read 2 more answers

Need help with these two, please thanks

Musya8 [376]

Answer:

the answer is 93.6

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line

Nataliya [291]

Answer:

Volume is $2000\pi\ m^{3}$

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

$c = \frac{1}{5}$

Therefore,

$h(y) = \frac{1}{5}y + 5$

Now, the Volume of the pool is given by:

$V = \int h(y)dA$

where

A = $r\theta$

$A = rdr\ d\theta$

Thus

$V = \int (\frac{1}{5}y + 5)dA$

$V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta$

$V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta$

$V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta$

$V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}$

$V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}$

7 0

3 years ago

I'm not sure what AAS,SAS,SSS,ASA mean .how do I solve this?

notka56 [123]

Answer:

AAS is an acronym for Angle-Angle-Side. It basically means that if two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two triangles are congruent. SAS is an acronym for Side-Angle-Side. It means that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SSS is an acronym for Side-Side-Side. It means that if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. ASA is an acronym for Angle-Side-Angle. It means that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

In the problem, we know that the corresponding sides of both triangles are congruent to each other, so those would be given. The third side of each triangle would also be congruent because of reflexive property. Reflexive property means that the two triangles share a line segment. So, the answer would be SSS.

8 0

3 years ago

How many negative roots will this function have? f(x) = x^7 – 2x^4 + 7x^2 + 2x – 2<br> help plsss

Vikentia [17]

There are two negative roots to the provided polynomial function

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

<h3>What is polynomial?</h3>

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

$\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n$