Answer:
C
Step-by-step explanation:
Note that each of the y- coordinates is the x- coordinate raised to the power of 4.
(1, 1) → y = 
= 1
(2, 16) → y = 
= 16
(3, 81) → y = 
= 81
(4, 256) → y = 
= 256
(5, 625) → y = 
= 625
Thus the rule is y = 
→ C
(3j, 3k) and (3/j, 3k)
So if their x values have the same signs and their y values have the same signs, they are in the same quadrant.
If j is negative, both 3j and 3/j would be negative. If j is positive then both 3j and 3/j are positive.
And 3k is the same as 3k.
You would subtract 3/8-2/8, which equals 1/8. For drawing a model draw fraction strips to help.
:)
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:
y = -1/3x + 8
Step-by-step explanation:
If two lines are perpendicular, the signs of the slope must be opposite and the slopes are reciprocals.
(basically if one is say -2/3, the other is 3/2. just flip it upside down)
So this slope is 3, so the new slope should be -1/3
The equation is now y = -1/3x + b
To find b, substitute (-9,5) in the equation
y = -1/3x + b
5 = -1/3(9) + b
5 = -3 + b
8 = b
So the equation is y = -1/3x + b
