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2 years ago

What is the slope of the line that passes through the points

1 answer:

5 0

$\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-14}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{(-3)}}}\implies \cfrac{-15}{7+3}\implies \cfrac{-15}{10}\implies -\cfrac{3}{2}$

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The solution for 7(5x+9)=12-(x+9) and simplified

Charra [1.4K]

Answer:

x= -5/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7(5x+9)=12−(x+9)

7(5x+9)=12+−1(x+9)(Distribute the Negative Sign)

7(5x+9)=12+−1x+(−1)(9)

7(5x+9)=12+−x+−9

(7)(5x)+(7)(9)=12+−x+−9(Distribute)

35x+63=12+−x+−9

35x+63=(−x)+(12+−9)(Combine Like Terms)

35x+63=−x+3

Step 2: Add x to both sides.

35x+63+x=−x+3+x

36x+63=3

Step 3: Subtract 63 from both sides.

36x+63−63=3−63

36x=−60

Step 4: Divide both sides by 36.

36x/36 and -60/36

x= -5/3

4 0

2 years ago

Marco created a table to help him represent the sample space of spinning a spinner and flipping a coin. Result of spin Result of

Svetradugi [14.3K]

The probability that the result is green - tail is 1/6.

Spinner has three colors that are red, green and yellow and coin has two sides that are head or tail.

<h3>What is the formula for probability?</h3>

Divide the number of events by the number of possible outcomes

The sample space is, ${(red - head; red - tail; green - head; green - tail; yellow - head; yellow - tail)}$ In total there are 6 ways to combine different colors with coin sides.

Therefore ,the probability that the result is green - tail is 1/6.

To learn more about the probability visit:

brainly.com/question/25870256

5 0

1 year ago

Determine the first five multiples for the following number 22

iragen [17]

Lets find

$\\ \sf\longmapsto M_n=22n$

$\\ \sf\longmapsto M_1=22(1)=22$

$\\ \sf\longmapsto M_2=22(2)=44$

$\\ \sf\longmapsto M_3=22(3)=66$

$\\ \sf\longmapsto M_4=22(4)$

$\\ \sf\longmapsto M_4=88$

$\\ \sf\longmapsto M_5=22(5)=110$

3 0

2 years ago

3x+2y=23<br> 1/2x-4=y<br><br> What should I do for this one...? I dont really understand

Hitman42 [59]

Since you have y alone on one side of the equation......

Use substitution and plug in 1/2x-4 for y in the other equation.

$3x+2(1/2x-4)=23\\$

Distribute

$3x+x-8=23$

Combine like terms

$4x-8=23$

Add 8 to both sides

$4x=31$

Divide by 4

and $x=31/4$

Plug this value in for x

$31/4*1/2-4=y$

Simplify

$31/8-4=y$

Multiply everything by 8 and simplify

$31-32=8y\\-1=8y$

Divide.....

$y=-1/8$

Your answers are:

$y=-1/8\\x=31/4$

8 0

2 years ago

What is the relationship among direct variation,lines,rates of change, and slope?

JulsSmile [24]

A direct variation is a proportional equation. Such as:

For every 3 cookies, linda gets 1 glass of milk. The equation for this is y=3x where y is the glasses and x is the cookies. this is a direct variation. It also has a linear line. Linear means straight. Rate of change and slope are the exact same thing. They are the value of 'm' in y=mx+b

5 0

2 years ago