Answer:
c) y= -3x + 3
Step-by-step explanation:
Given equation
y= 1/3x+6
Here slope m1 = 1/3
We know that the slope of perpendicular lines
m1*m2 = -1
slope of perpendicular line m2 = -1/m1
= -1/ (1/3)
m2 = -3
Also the line passes through (2, -3)
equation of line is given by y = mx+b
y= -3
x= 2
m2 = -3
Applying above values to the equation of line,
-3 = (-3*2)+b
b=3
Hence equation of perpendicular line is y = -3x + 3
Let x = the width
then
2x = the length
:
The box dimensions: 2x by x by 4
Given the surface area:
2(2x*x) + 2(2x*4) + 2(x*4) = 220
:
4x^2 + 16x + 8x = 220
A quadratic equation:
4x^2 + 24x - 220 = 0
simplify, divide by 4
x^2 + 6x - 55 = 0
Factor
(x+11)(x-5) = 0
The positive solution is what we want here:
x = 5 ft is the width
then
2(5) = 10 ft is the length
:
Find the volume
10 * 5 * 4 = 200 cu/ft is the volume
Answer:
B
Step-by-step explanation:
(1/3)^-4
=1/[(1/3)^4]
=1/(1/81)
=81
It be a 3/4 possibility that it won’t be green
