Answer: 
On a keyboard you would type sqrt(41)
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Work Shown:


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A slight alternative is to plot the point M(2,-5) to form right triangle LMN. The 90 degree angle is at point M.
The legs are of length LM = 4 and MN = 5, which are found by subtracting the x coordinates together and the y coordinates together (or you can count the spaces). From there, use the Pythagorean theorem to get the hypotenuse LN.
The distance formula is an altered version of the Pythagorean theorem.
Answer:
x=10
Step-by-step explanation:
3x-5x+5.6=-14.4
Simplify
-2x+5.6=-14.4
Subtract 5.6 from both sides
-2x=-20
Divide both sides by -2
x=10
Answer:
The slopes are neither perpendicular nor parallel.
Step-by-step explanation:
First we are going to find the slope-inercept form from the equation, -2x + 10y = 5.
Solve for y.
-2x + 10y = 5
<u>+2x. =</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>+2x</u>
10y = 2x + 5

So we now have

Looking at the equation above, the slopes are neither perpendicular nor parallel.
Ignore the decimal places and do 789x38 and you get 29982. Now all you have to do is put the decimal places back. Since 789 was 7.89 it had 2 decimal places and 38 had 1 you have to move 29982 three decimal places to the left making your final answer 29.982.
First identify the y-int. The y-int is the b in y=mx+b. So in this case, y=2/3x-3, meaning the y intercept is -3. Now, transfer the equations on the bottom to the form y=mx+b by moving the x over to the right side. The answer is the third choice.
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