I NEED HELP ASAP!!!! PLZZ HELP MEEEE!!!!! Which of the following lists is ordered from least to greatest?
1 answer:
You might be interested in
Answer:
1. Commutative Property of Addition
2. Distributive property
Step-by-step explanation:
Given
Required
Justify each step
From Line 1 to 2:
The property from Line 1 to 2 depicts ;
i.e.
This is referred to as Commutative Property of Addition
From Line 2 to 3:
The property here depicts
i.e.
This is referred to as Distributive property
Answer:
y= -2x -8
Step-by-step explanation:
I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.
A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).
Let's find the gradient of the given line.
Gradient of given line
The product of the gradients of 2 perpendicular lines is -1.
(½)(gradient of perpendicular bisector)= -1
Gradient of perpendicular bisector
= -1 ÷(½)
= -1(2)
= -2
Substitute m= -2 into the equation:
y= -2x +c
To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.
Midpoint of given line
Substituting (-3, -2) into the equation:
-2= -2(-3) +c
-2= 6 +c
c= -2 -6 <em>(</em><em>-</em><em>6</em><em> </em><em>on both</em><em> </em><em>sides</em><em>)</em>
c= -8
Thus, the equation of the perpendicular bisector is y= -2x -8.