Answer:
The average rate of change is 4.
Step-by-step explanation:
It is 4 because when you do the formula to find the rate of change it comes out to be 4.
It these triangles are similar, then the sides of the triangles are in proportion:
<em>cross multiply</em>
<em>use distributive property</em>
<em>subtract 10y from both sides</em>
<em>divide both sides by 5</em>

<em>cross multiply</em>

<em>divide both sides by 8</em>

Answer:

Step-by-step explanation:
Given A = 5i + 11j – 2k and B = 4i + 7k, the vector projection of B unto a is expressed as 
b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)
note that i.i = j.j = k.k =1
b.a = 5(4)+11(0)-2(7)
b.a = 20-14
b.a = 6
||a|| = √5²+11²+(-2)²
||a|| = √25+121+4
||a|| = √130
square both sides
||a||² = (√130)
||a||² = 130

<em>Hence the projection of b unto a is expressed as </em>
<em></em>
Since the square root of 13 is something really weird (3.6055 something) and does not have a clear end or repeats, it is irrational. Solve for the number before assuming anything