Answer: Our required integers will be 9,11,19.
Explanation:
Let three integers all less than 25 be x,y,z
Since we have given that
Range = 10
Mean = 13
These three integers will be
Since their range is 10 i.e.
And
Mean = 13
So, it satisfies the above conditions and they are all less than 25.
Hence, our required integers will be 9,11,19.
Darnell is building a triangular community garden plot.
Which set of lengths can be used to create the plot perimeter?
Recall the triangle inequality theorem which states that the sum of any two sides must be greater than the third side.
Let us analyze each of the given options.
Option A:
a = 20 feet
b = 12 feet
c = 34 feet
Option B:
a = 8 feet
b = 10 feet
c = 19 feet
Option C:
a = 5 feet
b = 8 feet
c = 14 feet
Option D:
a = 12, feet
b = 14 feet
c = 20 feet
As you can see, only option D satisfies the triangle inequality theorem
Therefore, option D is the correct answer.
This trinomial is in a special form that can
be factored as the product of two binomials.
<h2>x² - 10x + 25</h2><h2 />
The first term in each binomial will be a factor of the x² term.
Since x² is just x · x, we use those as our first factors.
To factor this trinomial, we need factors of our constant that
add to the coefficient of the middle term in our trinomial.
So we're looking for factors of 25 that add to -10.
When your constant is positive and your middle term is negative,
you are going to use the negative factors of your constant term.
So the two numbers hat multiply to gives
us 25 and add to -10 are -5 and -5.
So our answer is (x - 5)(x - 5).