9514 1404 393
Answer:
M = 7x² +21
Step-by-step explanation:
Subtract the unwanted terms on the left from both sides.
(-7x² +6x -16) + M = 6x +5
M = 6x +5 -(-7x² +6x -16)
M = 7x² +21 . . . . simplify
Answer:
It's (very roughly) 12 hours from one high tide to the next, and of course the same for low tides. That's because the tides produced when the Moon is directly overhead or in the opposite direction are the same. Same with two low tides, since there are two tides a day (both low and high).
For this case we have the following equation:
30x = 48 + 22x
An example of real life is:
"Laura earns $ 30 per hour at her job, Maria earns 22 dollars per hour at her job plus 48 $ of fixed salary, find the number of hours for which both get the same profit"
In the given equation,
x: represents the time in hours.
Let's break apart 42.
The 4 is in the tens. The 2 is in the ones.
Place Value starting from Thousands
Thousands Hundreds Tens Ones
_________ ________ ____ _____
4 2
So this is how we break up numbers using place value.
Hope this helps!
Use Pythagorean theorem to solve.
a^2 + b^2 = c^2
6^2 + b ^2 = 14^2
36 + b^2 = 196
Subtract 36 from both sides.
b^2 = 196-36
b^2 = 160
Take the square root of both sides.
b = sqrt 160
As a decimal
b = 12.649
As a simplified radical
b = 4sqrt10