Answer:
4m3+18m2−34m+12
Step-by-step explanation:
=(4m+−2)(m2+5m+−6)
=(4m)(m2)+(4m)(5m)+(4m)(−6)+(−2)(m2)+(−2)(5m)+(−2)(−6)
=4m3+20m2−24m−2m2−10m+12
Answer:
Area = 33√3
Perimeter = 122
Step-by-step explanation:
This is a parallelogram and perimeter for a parallelogram is calculated by adding side length to base and that's multiplied by 2
perimeter (6 + 11) × 2 = 122
The area is calculated by multiplying height to the base
there's a 30° 60° 90° special triangle inside the parallelogram and the side length that sees 60° in this special triangle is 3√3 so this is our height and base is given as 11
Therefore the area of this parallelogram is
3√3 × 11 = 33√3
Answer:
Option B is correct, i.e. The amount of water originally in Wilson's can was 2.5 gallons.
Step-by-step explanation:
Given is the graph of Amount of water (in gallons) v/s Time (in seconds).
It is a linear graph whose general equation is given as follows:-
y=mx+b.
Where y = Amount of water, x = Time, m = slope, b = y-intercept (when time is zero).
Finding slope of line, m = (2.3 - 2.5)/(1 - 0) = -0.2 gallons per second.
Finding y-intercept of line, b = 2.5 gallons (at t=0).
Hence, option B is correct, i.e. The amount of water originally in Wilson's can was 2.5 gallons.
Y=1 we can check this by looking at the slope of the line: m=
so m=0. By looking at the graph we know our y-int is 1. By plugging in this information into the equation of a line we get the following: y=0x+1. That is y=1
Answer:
6
Step-by-step explanation:
because 3 pieces
divided by 2 because there half pieces.
