Answer:
Step-by-step explanation:
first, you need to know the formulas for volumes for a sphere, cone, and cube.
sphere volume is defined: V=4/3πr^3
cone volume is defined: V=πr^2(h
/3)
cuboid volume is defined: V=lwh
Then just plug in:
sphere volume=4/3π6^3=904.78
cone volume=π5^2(13
/3)=340.34
cuboid volume=11*6*5=330
Answer:
a) -6/2
b) -9/2
Step-by-step explanation:
a) rearrange by making y the subject as y = mx+c
y = -6/2x-9/2
the gradient = -6/2
b) c is the y-intercept as it touch the y-axis, therefore -9/2 is where the line crosses the y-axis
Simplifying radical expressions expression is important before addition or subtraction because it you need to which like terms can be added or subtracted. If we hadn't simplified the radical expressions, we would not have come to this solution. In a way, this is similar to what would be done for polynomial expression.
Solution:
(6y^2-9y+4)-(-7y^2+5y+1)
Distribute to get rid of ( )
6y^2-9y+4+7y^2-5y-1
Combine like terms
13y^2-14y+3
