(2x-1)^7
=(2x)^7+7(2x)^6(-1)+21(2x)^5(-1)^2+35(2x)^4(-1)^3+35(2x)^3(-1)^4+21(2x)(-1)^5+7(2x)(-1)^6+(-1)^7
=128x^7+7(64x^6)(-1)+21(32x^5)+35(16x^4)(-1)+35(8x^3)+21(4x^2)(-1)+14x-1
=128x^7-7(64x^6)+672x^5-35(16x^4)+280x^3-21(4x^2)+14x-1
=128x^7-448x^6+672x^5-560x^4+280x^3-84x^2+14x-1
The coefficient of x^2 is -84
Answer:
Length = 45 inches and Width = 20 inches
Step-by-step explanation:
Let the width be w.
Length(l)=2.25w
Area = 900 in^2
The formula for the area of a rectangle is Area = length * width
So substituting our values we get:

So we get width = 20 inches
Length = 2.25w
so Length= 2.25*20
=45 inches
Answer:
two angles that are on the same side of the transversal and on the interior of (between) the two lines.
Step-by-step explanation:
Answer:
Equation is P=4s
Step-by-step explanation:
There is a pattern here:
8 is 4 times as much as 2
12 is 4 times as much as 3
20 is 4 times as much as 5
40 is 4 times as much as 10
Since P varies directly with s, we can make an equation: P=4s where k=4 in the form of y=kx