For the writing assignment, the number of ways of choosing from two essay topics three different mandatory lengths is given by:

Thus, he has 20 choices to make for the writing assignment.
For the reading assignment, the number of ways of choosing from <span>five biographies and three volumes of essays</span> is given by:
5 x 3 = 15
Therefore, the total number of choices is given by 6 + 15 = 21 choices.
Answer:
6
Step-by-step explanation:
1. re-write the given system:
cx+3y=c-3; => y= -cx/3 +(c-3)/3
12x+cy=c; => y= -12x/c+c/12
2. according the condition the rule for the parallel graphs is:
-c/3= -12/c
3. to calculate the unknown 'c':
c²=36; ⇔c=±6
Answer:
x=1+2√2 or x=1−2√2
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−6x=21
Step 1: Since the coefficient of 3x^2 is 3, divide both sides by 3.
3x2−6x
3
=
21
3
x2−2x=7
Step 2: The coefficient of -2x is -2. Let b=-2.
Then we need to add (b/2)^2=1 to both sides to complete the square.
Add 1 to both sides.
x2−2x+1=7+1
x2−2x+1=8
Step 3: Factor left side.
(x−1)2=8
Step 4: Take square root.
x−1=±√8
Step 5: Add 1 to both sides.
x−1+1=1±√8
x=1±√8
x=1+2√2 or x=1−2√2
Since 1 km = 1000 m then .33 km = 350 m
Hope this helps!
Malik can remain honest with his partner Samuel and respect his opinion.