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:
5/-3
Step-by-step explanation:
The slope formula is rise/run.
If you graph this, the two points make a line that slopes downwards. The higher point is in the negative axis, which means that the run will be negative.
you rise up 15 points from the first point (1,-6) to get to the same level as the second point. (-8,9). This is your rise.
You go over to the other point, this is your run. The run is -9.
15/-9
we can simplify this fraction.
5/-3 is your final answer.
Answer:
-3.
Step-by-step explanation:
In the table, the y value goes down by -4 and then -2, for a total of -6.
We did this over a period of two units (To go from -1 to 1, we add 2).
-6/2 = -3.
-3 is the average rate of change over the interval.
1) 4 divided by 7 = 0.57
2) 4 times 5 = 20 and 4 times 8 = 32
3) 20 plus 32 = 52
4) 0.57 times 52 = 29.64
5) answer : 29.64
i hope this is correct. i tried to break it down.
