Answer:
Volume = 1539.38 cm³
Surface Area = 747.7 cm²
Step-by-step explanation:
Volume = πr² h
V = π(7)²(10)
V = π(49)(10)
V = 490π
V = 1539.38 cm³
Surface Area = 2πrh + 2πr²
SA = 2π(7)(10) + 2π(7)²
SA = 2π(70) + 2π(49)
SA = 140π + 98π
SA = 238π
SA = 747.7 cm²
You can do this by first finding the y intercept which is the point where x = 0
-3(0) + y = 2
so y intercept is the point (0,2)
Now find the x intercept by putting y = 0
-3x = 2
x = -2/3
So we have 2 points (-2/3, 0) and (0,2) Draw a line through these 2 points and you have the required graph.
To find the product of (4x-5y)^2,
we can rewrite the problem as:
(4x-5y)(4x-5y) (two times because it is squared)
Now, time to use that old method we learned in middle school:
FOIL. (Firsts, Outers, Inners, and Lasts)
FOIL can help us greatly in this scenario.
Let's start by multiplying the 'Firsts' together:
4x * 4x = <em>16x^2</em>
Now, lets to the 'Outers':
4x * -5y = <em>-20xy</em>
Next, we can multiply the 'Inners':
-5y * 4x = <em>-20xy</em>
Finally, let's do the 'Lasts':
-5y * -5y = <em>25y</em>^2
Now, we can take the products of these equations from FOIL and combine like terms. We have: 16x^2, -20xy, -20xy, and 25y^2.
-20xy and -20xy make -40xy.
The final equation (product of (4x-5y)^2) is:
16x^2 - 40xy + 25y^2
Hope I helped! If any of my math is wrong, please report and let me know!
Have a good one.
Answer:
6.42 x 10^-8
Step-by-step explanation: