Hello!
The problem has asked that we simplify the given expression using the Distributive Property. The Distributive Property states the following:
a(b + c) = ab + ac
a(b – c) = ab – ac
In this case, we’ll use the second of the two formulas listed above. Let’s begin by inserting any known values given in the original problem:
a(b – c) = ab – ac
5(2x – 5) = 5(2x) – 5(5)
Now simplify the right side of the equation:
5(2x) – 5(5) = 10x – 25
We have now proven that 5(2x – 5) is equal to 10x – 25. Therefore, the correct answer is C.
I hope this helps!
<u>1/2 value</u><u> can be used as the </u><u>common ratio</u><u> in an explicit formula that represents </u><u>the sequence.</u>
Definition of sequence -
- The following of one thing after another; succession. order of succession: a list of books in alphabetical sequence.
- A continuous or connected series: a sonnet sequence. something that follows; a subsequent event; result; consequence.
A sequence that progresses geometrically has the first term as 12.
Each number is the previous number divided by 2.
so the sequence will be 12, 6, 3, 1.5...........
Explicit formula of a geometric sequence is given by
Where 
= nth term of the sequence
a = first term
r = common ratio
and n = number of term
In this sequence common ratio = 
= 6/12
= 1/2
Therefore, common ratio will be 1/2.
Learn more about sequence
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The correct answer is 3 inches.
To find this answer, we need to write and solve a quadratic equation.
Let's call the width of the frame X.
Then, the total width is 10 + 2x and the total length is 12 + 2x.
Having this information, we can write and solve the following equation.
(10 + 2x)(12 + 2x) = 288
4x^2 + 44x + 120 = 288
4x^2 + 44x - 168 = 0
4(x - 3)(x + 14) = 0
The solutions are 3 and -14, but only 3 makes sense in the story problem.
