Answer:
12x^2 -5x - 3
Step-by-step explanation:
( 4x - 3)( 3x + 1 )
distribute
12x^2 + 4x - 9x - 3
combine like terms
12x^2 - 5x - 3
Hope this helps!!!
Any perpendicular line has a negative reciprocal slope. So your slope would be 2. The. You would have the equation : y=2x+b. You would then replace the coordinate (5,6) with x and y on your line to solve for b. Your equation would be : y=2x-4
Complete question :
A traditional "square" bale of hay is actually in the shape of a rectangular prism. Its dimensions are 2 feet by 2 feet by 4 feet. How many square bales contain the same amount of hay as one large "round" bale of height is 4 ft and its width is 5 ft?
Answer:
4 bales
Step-by-step explanation:
Given :
Dimension of rectangular prism = 2 feet by 2 feet by 4 feet
Round Bale:
Height = 4 feets
Width = 5 feets
Volume of 'Square' Bale
Volume = 2 feets * 2 feets * 4 feets
Volume = 16ft³
Volume of 'round' Bale
V = πr²h
radius, r = 4/2 = 2 feet ;
V = π * 2^2 * 5
V = 62.831853 ft³
Volume of 'round' bale ÷ Volume of 'square' bale
62.831853 ft³ ÷ 16 ft³
= 3.9269908
= 4 (nearest whole number)
Answer:
0.85,8/9,0.92
Step-by-step explanation:
8/9=0.8888
If the total bill is $85, and you want to leave a 15% tip, then you can calculate it as follows:
85 * 15%
= 85 * 15/100
= 85 * 0.15
= 12.75
The amount that should be left as a tip is D. $12.75.