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Juliette [100K]
3 years ago
15

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?

Mathematics
2 answers:
svp [43]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (x, - 6)

m = \frac{-6-1}{x-4} = 1

m = \frac{-7}{x-4} = 1 ( cross- multiply )

x - 4 = - 7 ( add 4 to both sides )

x = - 3 → A

myrzilka [38]3 years ago
4 0

Slope formula is m= (y2-y1)/(x2-x1)

We know that slope is 1. So,

(-6-1)/(x-4) = 1

Then solve for x

-6-1 = x-4

x-4 = -7

x= -7+4

x= -3

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Harrizon [31]
SOLUTION:

Let's establish the formula for a cylinder as displayed below:

Let volume of cylinder = V

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V = ( Pi )( 64 )( 4 )

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FINAL ANSWER:

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C. 256( Pi ) units^3

Hope this helps! :)
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3 years ago
Ralph buys a desk that regularly sells for $250 and a desk chair that regularly sells for $145. both items are on sale at 15% of
Lunna [17]
C) (0.85 + x/100)(250+145) does not give the correct answer.

Explanation
A) works; adding the two costs together is 250+145=395.  We multiply this by 0.85 because 100%-15%=85%=0.85.  We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00.  Altogether this gives us 
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B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%.  This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
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So for this, you just substitute x with a cero to obtain the x-axis.

So, (0,5)

Then, you do the same with other numbers (replace x) and get the points to later graph it.

Also, you can use desmos, it really helps

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