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:
I do to
Step-by-step explanation:
Linear relationships can be expressed in a graphical format where the variable and the constant are connected via a straight line or in a mathematical format where the independent variable is multiplied by the slope coefficient, added by a constant, which determines the dependent variable.
Answer:
a) 23.5619449 m^2 b) 351.8583772 cm^2 c) 75.39822369 cm^2
Step-by-step explanation:
a):
SA = 2πr^2+2πr
r= 3/2 = 1.5
SA= 2π*1.5^2 + 2π*1.5
SA= 15/2 ∏
SA= 23.5619449 m^2 round it as you want
b): Same steps as "a" but rather than m^2 it is cm^2
the answer will be:
SA= 112π
SA= 351.8583772 cm^2 round it as you want
c): the radius is already given so just place it in place of r
SA= 2π*3^2 + 2π*3
SA= 24π
SA= 75.39822369 cm^2
Answer: 29 cows
Step-by-step explanation:
First we need to know how many pieces of meat will be needed. But before that, we need to know how many hours are in these 30 days. 24 hours per day so, 30*24=720 hours. 720 hours and 4 pieces of meat per 10 of those hours. We can do 720/10=72, then, 72*4=288. That means we need 288 pieces of meat, if each cow gives you ten, then we can round 288 to the nearest ten which is 290, then, 290/10 is 29. This means that Dumbledore needs 29 whole cows.
<em>(Yer a wizard Harry)</em>