For the first digit, you have two possible choices: 1 or 2. For *each* of those choices, you can choose 1 or 2 for the second digit in the number, and for each of *those*, you can choose 1 or 2 for the third digit of the number.
That’s 2 * 2 * 2 or 8 possible 3-digit numbers you can make with the digits 1 and 2.
Answer:
C = km
k = 95
C = 665
Step-by-step explanation:
Calories burned varies directly to miles run.
Let
C = calories burned
m = miles
C = km
Dustin burns 190 calories for every 2 miles he runs
C = 190
m = 2
C = km
190 = k2
Divide both sides by 2
k = 95
equation for the direct variation.
C = km
Find how many calories Dustin will burn after running 7 miles.
C = ?
m = 7
k = 95
C = km
C = 95 × 7
= 665
16) First solve like a normal equation.
3|x/9| - 1 = 2
3|x/9| = 3
|x/9| = 1
Now just separate into two equations:
x/9 = 1
x/9 = -1
So x = 9, -9
17) Solve like normal:
-4 - 2|b - 10| = -6
-2 |b - 10| = -2
|b - 10| = 1
Now just separate into two equations:
b - 10 = 1
b - 10 = -1
So then b = 11, 9
Answer:
proof given below
Step-by-step explanation:
Combine the fractions by making the denominators the same:
Use the trigonometric identity 
:
Factor out 2 from the numerator:
Cancel the common factor:
Hence proved.
Learn more about trigonometric identities here:
brainly.com/question/27938536
