For this case we have the following expression:
For this case what you should do is observe the terms that are repeated in the given expression.
We have then:
It is the term that is present in the whole expression.
Therefore, by doing common factor we have:
Answer:
the GCF is:
option A: a 3 is missing at the beginning of the option.
Give the number a label. That can be anything you want. A lot of people will use 'x' every single time they do a math problem,but there's no reason to do that and it's boring. Let's call our number ' M ' for 'Mystery number'. OK ?
The number . . . M
The square of the number . . . M²
Two more than the square of the number . . . M² + 2
You said that this is equal to 123, so we can write <u> M² + 2 = 123</u>
That's the equation we have to take and solve for ' M '.
Subtract 2 from each side of the equation, and you have M² = 121 .
Take the square root of each side: M = √121 .
The Mystery number is the square root of 121.
If you don't happen to know what that is, then you can use your pocket
calculator, or the calculator that comes with your computer (if you know
how to find it). They will all tell you that the square root of 121 is <em>11</em> .
That's a fine and wonderful answer, but technically, it's only half of the
answer. Any equation that has something squared in it almost always
has two solutions, and this one does.
The square root of 121 is a number that gives you 121 when you
multiply it by itself. ' 11 ' does that: (11 x 11) = 121 . Is there <em><u>another</u></em>
number that does the same thing ?
How about ' -11 ' ? Look at this: ( -11 x -11 ) = 121 . (Remember that
if both numbers being multiplied have the <em>same sign</em>, then their product
is positive.)
The bottom line is: The mystery number is<em> +11</em> and also<em> -11</em> .
Either one does what you want . . . When you square it and then
add 2 more, you get 123 either way.
Answer:
c
Step-by-step explanation:
Answer:
68,600
Step-by-step explanation:
The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Defensive Lineman:
3 from a set of 8. So
56 combinations of defensive lineman
Linebackers:
4 from a set of 7. So
35 combinations of linebackers
Defensive backs:
4 from a set of 7. So
35 combinations of defensive backs
How many different ways can the coach pick the 11 players to implement this particular defense?
56*35*35 = 68,600
68,600 different ways can the coach pick the 11 players to implement this particular defense
