Perpendicular lines have negative reciprocal slopes. So if the slope is -2/5...to find the negative reciprocal, " flip " the slope and change the sign.
So we flip -2/5 and we get 5/-2...and now we change the sign...and we get 5/2. So our perpendicular slope will be 5/2.
Answer:
Standard deviation (S) = square root of the variance
Standard deviation is the measure of spread most commonly used in statistical practice when the mean is used to calculate central tendency. Thus, it measures spread around the mean
Step-by-step explanation:
Answer:
There is one solution.
x = -17
<em>Proof and step-by-step explanation:</em>
Step 1: <em>Add the numbers</em>
3x-7 = 4+6+4x
3x-7 = 10+4x
Step 2: <em>Move</em><em> </em><em>terms</em>
3x-7 = 10+4x
3x-4x = 10+7
Step 3: <em>Collect the like terms and calculate the sum</em>
3x-4x = 10+7
-x = 17
Step 4: <em>Change the sign by multiplying both sides by -1</em>
-x (×-1) = 17 (×-1)
x = -17
I hope this helped ! :)
16<2(3x-1)<28 divide all terms by 2
8<3x-1<14 add 1 to all terms
9<3x<15 divide all terms by 3
3<x<5
x=(3,5) in interval notation
On a number line, it would be a line segment from 3 to 5 with open circles at 3 and 5.
On a coordinate system graph, it would be an infinitely high shaded plane between the vertical lines x=3 and x=5
