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3 years ago

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If CD has endpoints (–3, 4) and (5, 2), what are the coordinates of its midpoint?

1 answer:

Aleks [24]3 years ago

5 0

You can read it of the graph which is (1,3) or also calculate it with vectors:

calculate the vector CD:
(5-(-3),2-4)=(8,-2)
to calculate the midpoint you need half of the vector length:
(8,-2)/2=(4,-1)
add the vector to C:
(-3,4)+(4,-1)=(1,3)=midpoint of CD

so it's the third option

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Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of s

Sauron [17]

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

-2x + 6y + 3z = -31
-3y + 7z = 59
2z = 10

<h3>System of Equation</h3>

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

$2z = 10\\z = 5$

let us substitute the value of z into equation (ii)

$-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8$

Let's substitute the value of x and y into equation (i)

$-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1$

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

brainly.com/question/14323743

6 0

1 year ago

Mr. Chang’s class has 28 students, StartFraction 4 Over 7 EndFraction of whom are girls. Which equation shows how to determine t

Olegator [25]

Answer:

Okay, so we know a number of students and the amount of girls as a bracket. So what we have to do now is multiply them with each other.

28 *4/7 = 16

So there are 16 girls in Mr. Chang´s class.

You can also determine the boys by - the students with the girls:

28-16=12 boys

Have a nice day :D

Step-by-step explanation:

brainliest?

7 0

3 years ago

Read 2 more answers

Find the midpoint of MN M=-24 N=1

LekaFEV [45]

Midpoint=12.5 let me know if this helps

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2 years ago

If the difference of two numbers is even then so is their sum.

Nutka1998 [239]

Answer and explanation:

Statement - If the difference of two numbers is even then so is their sum.

Let the two even numbers be '2m' and '2n' with m and n are integers.

The difference of two number is

$2m-2n=2(m-n)$

Now, The sum of the numbers is

$2m+2n=2(m+n)$

Let $m+n=k$ where k is an integer

Then, $2m+2n=2k$ which is also an even number as 2 is multiplied with it.

So, If the difference of two numbers is even then so is their sum.

For example -

Let two even number 2 and 4.

The difference is $4-2=2$ , 2 is even.

The sum is $4+2=6$ , 6 is even.

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3 years ago

The point (2,7) is

maks197457 [2]

Answer:(8,28)

Step-by-step explanation: multiply times 4

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2 years ago