Answer:
3 grams
Step-by-step explanation:
We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:
Mass of strip = denisty * area = (1+x)*y*deltax grams
now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!
**pretend ∈ is the sum symbol
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 * 1/3 = 1
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2
Total mass = mass left + mass right = 1 + 2 = 3 grams
Three that are equivalent are 12:9 8:6 28:21
An easy way is to work out their speed. Speed = distance/time.
First part: Speed = 330/5.5 = 60 mph
Finally, the second part: time = distance / speed
So time = 720/60 = 12 hours
Answer:
Slope =-1/3
Step-by-step explanation:
(3,2)..... x1 =3, y1=2
(-3,4).... x2=-3, y2 =4
Slope=(y2-y1) /(x2-x1)
Slope=(4-2) /(-3-3)
Slope =2/(-6)
Slope=-1/3
