Important: to denote exponentiation use " ^ ":
<span>(x + y)1 = ___ x + ___ y NO
</span><span>(x + y)^1 = ___ x + ___ y YES
(x+y)^1 = 1x + 1y
(x+y)^2 = 1x + 2xy + y^2
(x+y)^3 = 1x^3 + 3x^2*y + 3x*y^2 + y^3
and so on. Look up "Pascal's Triangle" if you want more info on this pattern.
*******************
</span><span>(x + y)4 = ___ x4 + ___ x3y + ___ x2y2 + ___ xy3 + ___ y4 NO
</span>
<span>(x + y)^4 = ___ x^4 + ___ x^3y + ___ x^2y^2 + ___ xy^3 + ___ y^4 YES
(x+y)^4 = 1x^4 + 4x^3*y + 6x^2*y^2 + 4x*y^3 + y^4</span>
The value of y should be 8
<h3>
Answer: 10.99</h3>
Work Shown:
Angle B = 20 is the reference angle
AC = 4 is the side opposite this reference angle
BC = x is the unknown adjacent side
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(20) = 4/x
x*tan(20) = 4
x = 4/tan(20)
x = 10.9899 approximately (make sure your calc is in degree mode)
x = 10.99 rounding to two decimal places
BC = 10.99
It depends on how big the fish tank is. I need the image
To represent the change in points, you can think of it in two ways:
1. You will go down 25 points for every wrong answer, so -25 + -25 + -25 would represent what is happening. They are all negative, so you keeping moving down in value.
2. You can also think of this as 3 groups of -25.
Both answers are -75. The answer is negative because the change was down in points.
-75 is the integer that represents this situation.