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3 years ago

What is the midpoint of a segment shown below?

Mathematics

2 answers:

Gekata [30.6K]3 years ago

7 0

Answer:

C. (2,0)

Step-by-step explanation:

You use this equation to solve it:

( $\frac{-2+6}{2}$ , $\frac{4+(-4)}{2}$ )

This is basically taking the average of the points.

The answer is thus (2,0)

kipiarov [429]3 years ago

3 0

Answer:

(2,0)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates together and divide by 2

(-2+6)/2 = 4/2 =2

To find the y coordinate of the midpoint, add the y coordinates together and divide by 2

(4+-4)/2 = 0/2 =0

(2,0)

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What is the equation of the graphed line written in standard form? 2x – y = –4 2x – y = 4 y = 2x – 4 y equals StartFraction one-

svp [43]

Answer:

The answer is "2x-y=4"

Step-by-step explanation:

Given:

$2x-y=-4\\2x-y=4\\y=2x-4\\y=\frac{1}{2}(x-4)\\$

The Formula of Slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

by replacing the (2,0) and (0,-4) coordinates in the above formula:

$\to m= \frac{-4-0}{0-2}\\\\ \to m= \frac{-4}{-2}\\\\ \to m= \frac{4}{2}\\\\ \to m= 2\\\\$

if point y intercepting in x then x=0, for this the value of x= 0 and c=-4.

Equation of the line:

$\to y=mx+c$

apply m and c value in the above equation:

$\to y=2x-4\\$

Subtract by 2x on both sides of the equation we get:

$\to y-2x= 2x-4-2x\\\\\to y-2x=-4\\\\\boxed{\boxed{2x-y=4}}\\\\$

5 0

4 years ago

Read 2 more answers

I need help please give 10 points

Alinara [238K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Mr. Green teaches mathematics and his class recently finished a unit on statistics. The student scores on this unit are: 40 47 5

Harrizon [31]

Answer:

Mean = 64.46, Median = 62 and Mode = Bi-modal (50 and 62)

Range of the data is 55.

Step-by-step explanation:

We are given that Mr. Green teaches mathematics and his class recently finished a unit on statistics.

<u>The student scores on this unit are:</u> 40, 47, 50, 50, 50, 54, 56, 56, 60, 60, 62, 62, 62, 63, 65, 70, 70, 72, 76, 77, 80, 85, 85, 95.

We know that Measures of Central Tendency are: Mean, Median and Mode.

Mean is calculated as;

Mean = $\frac{\sum X}{n}$

where $\sum X$ = Sum of all values in the data

n = Number of observations = 24

So, Mean = $\frac{40+ 47+ 50+ 50+ 50+ 54+ 56+ 56+ 60 +60+ 62+ 62+ 62+ 63+ 65+ 70+ 70+ 72+ 76+ 77+ 80+ 85+ 85+ 95}{24}$

= $\frac{1547}{24}$ = 64.46

So, mean of data si 64.46.

For calculating Median, we have to observe that the number of observations (n) is even or odd, i.e.;

If n is odd, then the formula for calculating median is given by;

Median = $(\frac{n+1}{2})^{th} \text{ obs.}$

If n is even, then the formula for calculating median is given by;

Median = $\frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.} }{2}$

Now here in our data, the number of observations is even, i.e. n = 24.

So, Median = $\frac{(\frac{n}{2})^{th}\text{ obs.} +(\frac{n}{2}+1)^{th}\text{ obs.} }{2}$

= $\frac{(\frac{24}{2})^{th}\text{ obs.} +(\frac{24}{2}+1)^{th}\text{ obs.} }{2}$

= $\frac{(12)^{th}\text{ obs.} +(13)^{th}\text{ obs.} }{2}$

= $\frac{62 + 62 }{2}$ = $\frac{124}{2}$ = 62

Hence, the median of the data is 62.

A Mode is a value that appears maximum number of times in our data.

In our data, there are two values which appear maximum number of times, i.e. 50 and 62 as these both appear maximum 3 times in the data.

This means our data is Bi-modal with 50 and 62.

The Range is calculated as the difference between the highest and lowest value in the data.

Range = Highest value - Lowest value

= 95 - 40 = 55

Hence, range of the data is 55.

5 0

4 years ago

Which of the following equations is the result of cross multiplying the given proportion?

AnnZ [28]

(3)/(k+3)=(8)/(k-2)

Cross multiply:

3(k-2) = 8(k+3)

Simplify:

3k -6 = 8k +24

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3 years ago

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What is the solution to the equation x + 17 = 74? (Input a whole number only.) Numerical Answers Expected!

miss Akunina [59]

The answer is x=57

its this because x+17=74 you subtract 17 from each side getting x=57

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3 years ago

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