Answer:
the left curve is: y=(x+2)³-1;
the right curve is: y=3(x-2)³-1
Daniel has 36 different outfits to choose from.
4 • 3 • 3 = 36
A(n)=A(n-1)+17 with A(1)=3
What is inside the parentheses can also be written as a subscript.
Hope this helps!
Answer:
Step-by-step explanation:
Add all the beads together to get your total amount of beads (This will be your denominator)
1+2+2+1=6 beads in total
You only want to focus on the amount of green beads. (Which is 2 and that will be you numerator)

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.