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3 years ago

What is the slope of the line whose equation is 12 = 4x – 6y?

2 answers:

6 0

Convert to slope-intercept form, y = mx + b.

12 = 4x - 6y

Subtract 4x to both sides:

12 - 4x = -6y

Divide -6 to both sides:

y = 2/3y - 2

Now its in slope-intercept form, y = mx + b, where 'm' is the slope.

So the slope is 2/3.

Delvig [45]3 years ago

5 0

Answer:

2/3

Step-by-step explanation:

I took the test

hope this helps

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Prove the following statement.

gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form $2k+1$ where $k\in \mathbb{Z}$ . Consider the following cases.

Case 1. If $k$ is even we have: $(2k+1)^{2}=(2(2s)+1)^{2}=(4s+1)^{2}=16s^2+8s+1=8(2s^2+s)+1$ .

If we denote by $m=2s^2+2$ we have that $(2k+1)^{2}=8m+1$ .

Case 2. if $k$ is odd we have: $(2k+1)^{2}=(2(2s+1)+1)^{2}=(4s+3)^{2}=16s^2+24s+9=16s^{2}+24s+8+1=8(2s^{2}+3s+1)+1$ .

If we denote by $m=2s^{2}+24s+1$ we have that $(2k+1)^{2}=8m+1$

This result says that the remainder when we divide the square of any odd integer by 8 is 1.

6 0

2 years ago

Please someone do this for me

nlexa [21]

Answer:

A = -12

B = -8

C = -4

Step-by-step explanation:

$y=2x-8$

x = -2

$y=2(-2)-8=-4-8=-12$

A = -12

x = 0

$y = 2 (0)-8=-8$

B = -8

x = 2

$y = 2 (2) -8 = 4-8 = -4$

C = -4

Hope this helps

8 0

2 years ago

Oshua's mother has a family Christmas gathering at 2:00. Joshua must travel 348 miles to join the festivities. He left his house

gavmur [86]

Answer:

58 miles/hour

Step-by-step explanation:

Given that the family Christmas gathering has been scheduled at 2:00 p.m.,

and Joshua left the house at 8:00 a.m.

So, the total time available in order to arrive on time to attend the Christmas gathering, t=6 hours

The total distance, Joshua has to travel, d= 348 miles.

As average speed= (total distance)/(total time)

So, the average speed of driving = 348/6=58 miles/hour

Hence, Joshua must drive at an average speed of 58 miles/hour in order to arrive on time.

7 0

2 years ago

Y = -x<br><br> What is is the constant of proportionality

Stels [109]

Hey!

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-x = -1

This statement shows that y equals -1. Since it doesn't show a table or word problem then we already know that the constant of proportionality is -1. Or if you just have the expression just divide the number by 1. -x/1 = -1!

------------------------------------------------

Thus, -1 is the constant of proportionality!

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Hope This Helped! Good Luck!

4 0

2 years ago

91, 77, 90, 85, 93, 72, 88, 82, 87 <br> what’s the mean?

yan [13]

Answer:

The mean would be 85 :)

Step-by-step explanation:

8 0

2 years ago