One way is to keep trying pairs of consecutive positive even integers until you find a pair that satisfies the question.
Trying 2 and 4:
2^2 + 4*4 = 20
That was not 40. Trying the next pair:
Trying 4 and 6:
4^2 + 4*6 = 40
The answer is 4 and 6!
Answer:
The other factor is (x + 2).
Step-by-step explanation:
If x - 10 is a factor of x^2 - 8x - 20 then we must find another factor that includes +2x, so that we have -10x + 2x = -8x. That factor is (x + 2):
x^2 - 8x - 20 = (x - 10)(x + 2)
As a test, multiply -10 and +2. We get -20, matching the constant of the given polynomial. Also, -10x + 2x = -8x, another match.
A is independent while b is dependent.
This is because b is equal to a decreased by 2. Anytime a changes, then b does as well. B can only change in accordance with a.
There are many ways to answer. The x represents some number. We don't know what the number is, but we know that it must be less than or equal to 50. Put another way, the number can be anything you want as long as it doesn't go past 50. We say that 50 is the so called "ceiling" more or less.
Some examples:
* An elevator can only hold 50 people at maximum. Therefore, x can be any number smaller than 50 or 50 itself. Having 51 or over will be too much.
* You can only work 50 hours for one stretch of some 2 week period. If x is the number of hours you work, then x must be 50 or less as written by
. So x could be x = 37 as it's less than 50, but x = 62 is not possible.
* For some small ride at a theme park, the seats are designed such that only people 50 inches or less can ride on them. If x is the height of a person in inches, then
means something like x = 37 is possible but x = 62 is too high.
Answer: x = -7
Concept:
From the given graph, we can see that it is an isosceles triangle since the two base angles are congruent.
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
<u>Given information</u>
First Side = 7
Second Side = x + 14
<u>Given expression deducted from the definition of an isosceles triangle</u>
Second Side = First Side
<u>Substitute values into the expression</u>
x + 14 = 7
<u>Subtract 14 on both sides</u>
x + 14 - 14 = 7 - 14

Hope this helps!! :)
Please let me know if you have any questions