Commutative Property of Addition
Hope you understand this! :DPart a)
section A<span><span>f<span>avg</span></span>=<span><span>4(2<span>)2</span>−4(2<span>)1</span></span><span>2−1</span></span>=8</span>section B <span><span>f<span>avg</span></span>=<span><span>4(2<span>)4</span>−4(2<span>)3</span></span><span>4−3</span></span>=32</span>
Part b)
The rate of change is greater between x = 3 and x = 4 than between x = 2 and x =1 because an exponential function's rate of change is increasing, unlike a linear function which has a constant rate of change.
First of all, this problem is properly done with the Law of Cosines, which tells us

giving us a quadratic equation for b we can solve. But let's do it with the Law of Sines as asked.

We have c,a,A so the Law of Sines gives us sin C

There are two possible triangle angles with this sine, supplementary angles, one acute, one obtuse:


Both of these make a valid triangle with A=20°. They give respective B's:


So we get two possibilities for b:



Answer: 2.3 units and 7.8 units
Let's check it with the Law of Cosines:


There's a shortcut for the quadratic formula when the middle term is 'even.'




Looks good.
Answer:
Option D
Step-by-step explanation:
Formula to be used,
Scale factor = 
By this formula,


L =
= 77 inches
Similarly, width of the the dilated rectangle = 
= 35 inches
Perimeter of the new rectangle = 2(Length + width)
= 2(77 + 35)
= 224 inches
Option (D) will be the correct option.