A full rotation is represented by 360 degrees or 2pi radians, so
2/3 of a full rotation is repr. by (2/3)(360 deg) or (2/3)(2pi rad). (Simplify these.)
Negative reciprocal means
-1/4 times x=-1 solve for x
multiply both sides by -4/1
x=-4
so slope=-4
y=mx+b
m=slope, b=y intercpet
y=-4x+b
input 3 for x and -5 for y
-5=-4(3)+b
-5=-12+b
add 12 to both sides
7=b
the equation in slope intercept form is y=-4x+7
that is my standard form
another standard form is
y+4x=7
Answer:

Step-by-step explanation:
We want to simplify:

We convert to improper fraction to get:

We now deal with the parenthesis by multiplying with the reciprocal of 2.

This gives:

We multiply to get:

This simplfies to:

We write as mixed number

Answer:
Option D is the correct answer.
Explanation:
A girl has 3 different swimsuits, 4 different shorts and 3 different pairs of flip-flops.
Different ways can this girl wear a swimsuit, a pair of short and a pair of flip-flops = 3P₁ x 4P₁ x 3P₁
= 3 x 4 x 3
= 36
Different ways can this girl wear a swimsuit, a pair of short and a pair of flip-flops = 36
Option D is the correct answer.