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pychu [463]
3 years ago
13

Find the slope of a line parallel to the line through the given points. P(-2, 4), Q(6, -2) 4/3 3/4 -3/4

Mathematics
2 answers:
ehidna [41]3 years ago
6 0
Attached the solution and work.

zavuch27 [327]3 years ago
4 0

Answer:

Option 3 - m=-\frac{3}{4}

Step-by-step explanation:

Given : P(-2, 4), Q(6, -2)

To find : The slope of a line parallel to the line through the given points?

Solution :

First we find the slope of the line passes through given points P(-2, 4), Q(6, -2)

The slope formula is

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

m=\frac{-2-4}{6-(-2)}

m=\frac{-6}{8}

m=-\frac{3}{4}

When two lines are parallel then there slope are equal.

Therefore, The slope of a line parallel to the line through the given points is

m=-\frac{3}{4}

So, Option 3 is correct.

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Answer: Question 1

a)5.47

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Step-by-step explanation:

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2 years ago
Solve for x and y:<br> 3/x -1/y =13/10<br> 1/x + 2/y =9/10
harkovskaia [24]

Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...

  3x' -y' = 13/10

  x' +2y' = 9/10

Adding twice the first equation to the second, we get ...

  2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)

  7x' = 35/10 . . . . . . simplify

  x' = 5/10 = 1/2 . . . . divide by 7

Using the first equation to find y', we have ...

  y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5

So, the solution is ...

  x = 1/x' = 1/(1/2) = 2

  y = 1/y' = 1/(1/5) = 5

  (x, y) = (2, 5)

_____

The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.

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3 years ago
What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?
mixas84 [53]

We have that  the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

a_4=a_1+(n-1)d

Therefore

For seventh term

5=23+(6)d\\\\d=5-23/(6)\\\\d=-3

Therefore

For Fourth term

a_4=23+(3*(-3))

a_4=14

For more information on this visit

brainly.com/question/23366835

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Nataly_w [17]

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Step-by-step explanation:

Simplify the expression to 2^1/4

Now transform the expression using a^m/n = n root a raised to a power of m.

And that's how you get your answer.

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