A = 5y (7y - 4) multiply 5y by 7y and -4
5y (7y) = 35y^2 (y^2 means y squared)
5y (-4) = -20y
= 35y^2 - 20yThe area of the figure is 35y^2 - 20y square units. « simple sentence answer
20. Apply the distributive property to simplify 2x (x-4) - 3x (x - 4).
2x (x-4) -3x (x-4)
=2x^2 - 8x - 3x^2 + 12x remember that it's -3x (x-4). Multiply 2x(x-4) and -3x (x-4)
=2x^2 - 3x^2 - 8x + 12x then you combine like terms
=-x^2 + 4x
21. A pool table is twice as long as it is wide. If the area of the pool table is 2.88m^2, what are the dimensions of the table?I find it helpful to draw a diagram
A = lw
2.88 = 2w(w)
2.88 = 2w^2
2.88/2 = 2w^2/2
1.44 = w^2
then you find the square root
1.2 = w
The length is 2 times the width
l = 2w The dimensions are length = 2.4m and width = 1.2m.
l = 2 (1.2)
l = 2.4
We also went over these two questions.
(x + 5)^2 = (x +5) (x+5)
= x^2 +5x + 5x +25
= x^2 +10x + 25
2. 3(x+2)^2 = 3 (x+2) (x + 2)
= (3x + 6) (x+2)
= 3x^2 + 6x + 6x + 12
= 3x^2 + 12x + 12
Get ready Chapter 6
go to www.mathplayground.com and play "zogs"
Well, that's all for my scribe. If I missed anything, please let me know. PLEASE COMMENT! (also, I have no idea who hasn't done a scribe yet, so if you haven't, YOU'RE NEXT :P) Okay, bye.