All categories

3 years ago

Find the midpoint of the line segment with end coordinates of: (−3,−1)and (−4,2) Give coordinates as decimals where appropriate.

Mathematics

2 answers:

lawyer [7]3 years ago

4 0

Answer:

ANSWER

M=(−72,12).

Step-by-step explanation:

The midpoint for two points P=(x1,y1) and Q=(x2,y2) is

M=(x1+x22,y1+y22).

We have that x1=−3, y1=−1, x2=−4, y2=2.

So, M=(−3+(−4)2,−1+(2)2)=(−72,12)

Delvig [45]3 years ago

3 0

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(−3,−1) and (−4,2)

The midpoint is

$M = ( \frac{ - 3 - 4}{2} \: , \: \frac{ - 1 + 2}{2} ) \\ = ( - \frac{7}{2} \: , \: \frac{1}{2} )$

We have the final answer as

Hope this helps you

You might be interested in

Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container. Afte

natka813 [3]

Answer:

(a) 8 balls

(b) 4 balls

Step-by-step explanation:

Let

$N \to$ Number of balls

For a box, the probability that there are N balls in it is:

$Pr = 0.5^N$

For 2 boxes, it is:

$Pr = 2 * 0.5^N$

From the question, we have:

$\frac{80}{10000} \to$ Favorable outcome

To solve for N, we have:

$2 * 0.5^N = \frac{80}{10000}$

$2 * 0.5^N = 0.008$

Divide both sides by 2

$0.5^N = 0.004$

Take log of both sides

$\log(0.5^N) = \log(0.004)$

Apply law of logarithm

$N\log(0.5) = \log(0.004)$

Make N the subject

$N = \frac{\log(0.004)}{\log(0.5)}$

$N =7.966$

Approximate

$N = 8$

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

$Balls \approx \frac{N}{2}$

$Balls \approx \frac{8}{2}$

$Balls \approx 4$

<em>4 balls in each box</em>

6 0

3 years ago

Drag each expression to the correct location in the equation. Not all expressions will be used.

Arisa [49]

The two rational expressions will be; (x + 2)/(x² - 36) and 1/(x² + 6x)

<h3>How to simplify Quadratic Expressions?</h3>

We want to determine the two rational expressions whose difference completes the equation.

The two rational expressions will be;

(x + 2)/(x² - 36) and 1/(x² + 6x)

Now, this can be proved as follows;

Step 2 [(x + 2)/(x² - 36)] - [1/(x² + 6)]

= [(x + 2)/(x + 6)(x - 6)] - [1/(x(x + 6)]

Step 3; By subtracting, we have;

[x(x + 2) - (x - 6)]/[x(x + 6)(x - 6)]

Step 4; By further simplification of step 3, we have;

[x² + x + 6]/[x(x-6)(x + 6)]

Read more about Quadratic Expressions at; brainly.com/question/1214333

#SPJ1

7 0

2 years ago

pls help me with this i’ve been stuck on it for a while but i did it on paper and it doesn’t look right

inn [45]

i will fill the boxes from top down

4(-2)-5=-13

4(1)-5=-1

4(2)-5=3

4(3)-5=7

5 0

3 years ago

How did i work this out?

bogdanovich [222]

knowing the answer is between 3 & 4 plug those as x and see what you get for answers than adjust the number accordingly

3^3+2(3) = 33 so its higher than 3

4^3 + 2(4) = 72 so it is lower than 4

try the middle so try 3.5

3.5^3 + 2(3.5) = 49.875

question states use 1 decimal place so now try 3.6

3.6^3+2(3.6) = 53.856

3.5 is closest

6 0

3 years ago

Please answer number one as well as show your work thank you!

sveta [45]

√2 is irrational

a rational number Q can be expressed in the form $\frac{a}{b}$ where a and b are integers.

- 18 = $\frac{- 18}{1}$ ⇒ rational

$\frac{2}{3}$ ⇒ rational

3.14 = $\frac{314}{100}$ ⇒ rational

√2 = 1.414213562...... ⇒ irrational

8 0

3 years ago