Answer:
width = 18.97 inches
Step-by-step explanation:
To find the smallest width of the box to fit the bat, we need to put the bat in the diagonal of the box.
The diagonal of the box is given by:
diagonal^2 = length^2 + width^2 + height^2
Then, using the diagonal = 36 inches, length = 30 inches and height = 6 inches, we have:
36^2 = 30^2 + width^2 + 6^2
1296 = 900 + width^2 + 36
width^2 = 360
width = 18.97 inches
Answer:
slope = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 12) ← 2 points on the line
m = 
= 
= 4
Answer:
5x-4y = -32
Step-by-step explanation:
First write the equation in point slope form
y-y1 = m(x-x1)
y - -2 = 5/4 ( x- -8)
y+2 = 5/4 (x+8)
Multiply each side by 4 to clear the fraction
4( y+2 )= 4*5/4 (x+8)
4y +8 = 5(x+8)
4y+8 = 5x+40
Subtract 4y from each side
8 = 5x-4y +40
Subtract 40 from each side
-32 = 5x-4y
5x-4y = -32
