X = -3
Solution:
Distribute
6(x)+(6)(-1)+-x=-21
Combine
(6x+-x) + (-6) = -21
5x + -6 = -21
5x - 6 = -21
Add 6 to both sides
5x -6 + 6 = -21 +6
5x = -15
Divide both sides by 5
5x/5 = -15/5
x = -3
The height of Mount Kilimanjaro is 19,340 feet.
To convert to scientific notation move the decimal point so there is only 1 digit to the left of the decimal pint, you then multiply that by 10 raised to the number of spaces you moved the decimal point.
19,340 - Move the decimal point 4 places to the left to get 1.9340
You can remove the 0 at the end to get 1.934
You moved the decimal 4 places so raise 10 to 4 and get the final answer:
1.934 x 10^4
The first choice is the correct one.
21)
PT = TQ
Given PT = 4x - 6 and TQ = 3x + 4
so
4x - 6 = 3x + 4
Subtract 3x from both sides
4x - 6 - 3x = 3x + 4 - 3x
Simplifying
x - 6 = 4
Add 6 to both sides
x - 6 + 6 = 4 + 6
Simplifying
x = 10
PT = 4(10) - 6 = 40 - 6
PT = 34
Answer
PT = 34
The answer is approximately141.3