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>
Answer:
Slope: 1/5
Step-by-step explanation:
Answer:
22 units
Step-by-step explanation:
Known Quantities:
Calculations:
Final Calculations:
- perimeter = 2 x (3+8)
- perimeter = 22
<h2><u>
PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>
Apply the means-extremes property of proportions: this allows you to cross multiply:


Apply the distributive property:



Add 24 to both sides:


Substract 3x to both sides



<h3><u>Answer</u>. The value of x = 24.</h3>
Answer:
[Vertex form]
Step-by-step explanation:
Given function:

We need to find the vertex form which is.,

where
represents the co-ordinates of vertex.
We apply completing square method to do so.
We have

First of all we make sure that the leading co-efficient is =1.
In order to make the leading co-efficient is =1, we multiply each term with -3.


Isolating
and
terms on one side.
Subtracting both sides by 15.


In order to make the right side a perfect square trinomial, we will take half of the co-efficient of
term, square it and add it both sides side.
square of half of the co-efficient of
term = 
Adding 36 to both sides.


Since
is a perfect square of
, so, we can write as:

Subtracting 21 to both sides:


Dividing both sides by -3.

[Vertex form]