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.
Answer: Step 1: Reverse the signs of
expression.
Step 2: Removing parenthesis
Step 3: Grouping like terms
Step 4: Combing like terms
Step 5: Writing the final expression in standard form
Step-by-step explanation: First expression :
Second expression :
.
We need to subtract
from
.
Step 1: Reverse the signs of
expression.

Step 2: Removing parenthesis

Step 3: Grouping like terms
![[-3x^3) + (-6x^3)] + [4x + 2x] + [(-7) + (-3)] + [5x^2]](https://tex.z-dn.net/?f=%5B-3x%5E3%29%20%2B%20%28-6x%5E3%29%5D%20%2B%20%5B4x%20%2B%202x%5D%20%2B%20%5B%28-7%29%20%2B%20%28-3%29%5D%20%2B%20%5B5x%5E2%5D)
Step 4: Combing like terms

Step 5: Writing the final expression in standard form

We can use the difference of two squares, which is:
x^2 + y^2 = (x-y)(x+y)
So,
(9m-7)(9m+7)
Hope this helps!
Answer:DC=7
Step-by-step explanation:
As it is written △ABC = △DBC. So the corresonding legs (the legs which are equal ) are as follows:
AC=DC AB=DB BC= BC
So DC=7 the same like AC
Answer:
i put it in the comments bc someone was answering but 150 lol
Step-by-step explanation: