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sergejj [24]
3 years ago
15

What is the equation of the line that passes through the points (-6,2) and (4,-3)

Mathematics
1 answer:
stich3 [128]3 years ago
7 0

Answer:

The equation is:  9x-y = 56

Step-by-step explanation:

Given two point:  (x,y) = (-6,2)

                            (x,y) = (4,-3)

Now, to find the slope of the line:

Slope =   y1-y2/x1-x2  => 2-4/-6-(-3) = -1/9

Then, the equation of the line passing through a point:

=>   y-y1 = m(x-x1)

=>   y-2 =  -1/9(x-6)

=>  1(y-2) = -9(x-6)

=>  y-2 = -9x+54

=>  9x-y = 56

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The quotient of a number and 3 decreased by 121 is -164. Select the solution to the sentence shown.
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Its algebra. The original equation is \frac{x}{3} -121 = -164

To solve for a variable, we reverse the order of operations, beginning with addition/subtraction, and then multiplication/division. To remove a number from one side, we must do the opposite to the other side. In this case, to get rid of the -121 we must add 121 to the -164. This gives us -43. Then, to get the x by itself, we must multiply the other side by 3. -43*3=129

When we are doing the opposite of an operation to the other side, we are really reversing the operation and, to keep both sides equal, we must do whatever we have done to one side to the other side. So when we have -121, we add 121 as it equals 0, therefore it is gone. Since a equation must be balanced, we have to do what we did to the other side (adding 121).



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3 years ago
Use the quadratic formula to solve the equation.<br> 5x2-3x + 1 = 0<br> X=
mr_godi [17]

Answer:

x= 11/3

Step-by-step explanation:

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3 years ago
What's the answer to 16-12+12x17
daser333 [38]
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3 years ago
Read 2 more answers
A cylinder has a volume of 157 cubic centimeters.
ziro4ka [17]

Answer:

4.47100222

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The gross domestic product (GDP) of a certain country, which measures the overall size of the economy in billions of dollars, ca
DiKsa [7]

Answer:

The estimated GDP in 2007 is 12782 billion dollars.

The estimated GDP in 2011 is 15010 billion dollars.

The estimated GDP in 2012 is 15567 billion dollars.

Step-by-step explanation:

Consider the provided function.

g(y) = 557y +8883

Where y = 10 corresponds to the year 2010.

Part (b) Estimate the GDP (to the nearest billion dollars) in 2007.

If y = 10 corresponds to the year 2010 then y = 7 corresponds to the year 2007.

Substitute the value of y = 7 in the provided function.

g(y) = 557(7) +8883

g(y) = 3899+8883

g(y) = 12782

Hence, the estimated GDP in 2007 is 12782 billion dollars.

Part (b) Estimate the GDP (to the nearest billion dollars) in 2011.

If y = 10 corresponds to the year 2010 then y = 11 corresponds to the year 2011.

Substitute the value of y = 11 in the provided function.

g(y) = 557(11) +8883

g(y) = 6127+8883

g(y) = 15010

Hence, the estimated GDP in 2011 is 15010 billion dollars.

Part (C) Estimate the GDP (to the nearest billion dollars) in 2012.

If y = 10 corresponds to the year 2010 then y = 12 corresponds to the year 2012.

Substitute the value of y = 12 in the provided function.

g(y) = 557(12) +8883

g(y) = 6684+8883

g(y) = 15567

Hence, the estimated GDP in 2012 is 15567 billion dollars.

4 0
3 years ago
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