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egoroff_w [7]
3 years ago
12

What is the midpoint of a segment whose endpoints are (–3, –6) and (6, –2)?

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad  (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) \qquad \left(\cfrac{ x_2 +  x_1}{2}~~~ ,~~~ \cfrac{ y_2 +  y_1}{2} \right) \\\\\\ \left( \cfrac{6-3}{2}~~,~~\cfrac{-2-6}{2} \right)\implies \left(\cfrac{3}{2}~~,~~\cfrac{-8}{2}  \right)\implies \left(1\frac{1}{2}~,-4  \right)

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In 2006 the state of nevada had two area codes how many phone numbers could nevada accommodate if the first digi cannot be zero
Aleks04 [339]
Answer: There are 16 million different phone numbers possible. 

First, let's find the number of possible phone numbers without the area code. There are 7 numbers in a phone number. There are 10 digits for each position. However, the first one can't be 1 or 0, so there are only 8 options.

Multiply the possibilities to find the total number.

8 x 10 x 10 x 10 x 10 x 10 x 10 = 8,000,000

Since, there are 2 different area codes, just multiply 8 million by 2 to get 16 million.
3 0
3 years ago
The correct answer is y < 18. Let's pretend a student forgot to flip the symbol and they mistakenly believe the solution set
snow_tiger [21]

Answer:

It is wrong

Step-by-step explanation:

y < 18

This is read as y is less than 18. If the students forgot to flip the symbol and mistakenly believe that y > 18.

y > 18

This is read as y is greater than 18.

There is a difference between the numbers greater or less than 18 .

y must have numbers less than 18 and 21 is greater than 18.

Therefore it is wrong.

But to make it true we can multiply minus with the inequality y > 18

-y > -18

This reverses the inequality sign and it becomes

y< 18

The solution which is required.

4 0
3 years ago
Point S is not on line k. How many different planes contain both point Sand<br> line k?
goldenfox [79]
There’s not enough context could you maybe post a picture?
5 0
4 years ago
Which matrix Is the product of a 3x3 identity matrix and the scalar 3
maw [93]

Answer:

  Each diagonal element will be 3. Off-diagonal elements will be zero.

Step-by-step explanation:

The one that looks like ...

  \left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right]

8 0
4 years ago
3. If mZEFH = (5x + 1), mZHFG = 62°, and<br> mZEFG = (18x + 11), find each measure.
arsen [322]

Answer/Step-by-step explanation:

Given:

m<EFH = (5x + 1)°

m<HFG = 62°

m<EFG = (18x + 11)°

Required:

1. Value of x

2. m<EFH

3. m<EFG

SOLUTION:

1. Value of x

m<EFH + m<HFG = m<EFG (angle addition postulate)

(5x + 1) + 62 = (18x + 11)

Solve for x using this equation

5x + 1 + 62 = 18x + 11

5x + 63 = 18x + 11

Subtract 18x from both sides

5x + 63 - 18x = 18x + 11 - 18x

-13x + 63 = 11

Subtract 63 from both sides

-13x + 63 - 63 = 11 - 63

-13x = -52

Divide both sides by -13

-13x/-13 = -52/-13

x = 4

2. m<EFH = 5x + 1

Plug in the value of x

m<EFH = 5(4) + 1 = 20 + 1 = 21°

3. m<EFG = 18x + 11

m<EFG = 18(4) + 11 = 72 + 11 = 83°

8 0
4 years ago
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