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!
Hello!
We can write this as a proportion below.

As you can see, 4 is eight times 0.5. Therefore, we can multiply eighteen by eight to get our answer.
18(8)=144
Just to check, we can cross multiply and divide.
72/0.5=144
Therefore, our answer is
144 feet.
I hope this helps!
The length of the route of a bicylist that has covered 5/7 of his route and an additional 40 miles and yet to cover 118 miles less than 0.75 of his route is 168 miles.
<h3>How to form equation and solve for the variable?</h3>
The bicyclist covered 5 / 7 of his route and an addditional 40 miles.
Let
x = distance of his route in miles
Hence,
distance covered = 5 / 7 x + 40
He has yet to cover 118 miles less than 0.75 of his route. Therefore,
distance not covered = 0.75x - 118
Distance of his route = 5 / 7 x + 40 + 0.75x - 118
x = 5 / 7 x + 40 + 0.75x - 118
x = 1.464x - 78
x - 1.464x = -78
-0.464x = -78
x = 78 / 0.464
x = 168.103448276
x = 168 miles
learn more on equation here: brainly.com/question/13887440
<u>Given</u>:
Given that the circle with center O.
The radius of the circle is OB.
The chord of the circle O is PQ and the length of PQ is 12 cm.
We need to determine the length of the segment PA.
<u>Length of the segment PA:</u>
We know that, "if a radius is perpendicular to the chord, then it bisects the chord and its arc".
Thus, we have;

Substituting the value PQ = 12, we get;


Thus, the length of the segment PA is 6 cm.
Hence, Option d is the correct answer.
We have been given that a geometric sequence's 1st term is equal to 1 and the common ratio is 6. We are asked to find the domain for n.
We know that a geometric sequence is in form
, where,
= nth term of sequence,
= 1st term of sequence,
r = Common ratio,
n = Number of terms in a sequence.
Upon substituting our given values in geometric sequence formula, we will get:

Our sequence is defined for all integers such that n is greater than or equal to 1.
Therefore, domain for n is all integers, where
.