Answer:
Step-by-step explanation:
Answer:
9
41/4
23/2
51/4
14
Step-by-step explanation:
The first term is the first term that is given. Just copy it.
Each next term is the previous term plus the common difference.
First term: a_1 = 9
Second term: a_2 = 9 + 5/4 = 36/4 + 5/4 = 41/4
Third term: a_3 = 41/4 + 5/4 = 46/4 = 23/2
Fourth term: a_4 = 46/4 + 5/4 = 51/4
Fifth term: a_5 = 51/4 + 5/4 = 56/4 = 14
There are 2 solutions in that equation
Before we solve, let's define what a scale factor is. A scale factor is a certain number that can be multiplied or divided by to get a smaller or bigger image that's similar to the current image.
We have 48 by 36 as our original.
It has been reduced to an 8 by 6.
This means we must divide.
Before we get into any complicated ideas, if any, let's try a simple trick.
Divide 48 by 8 and 36 by 6. This should give us a scale factor if they give us the same quotients.
48 / 8 = 6
36 / 6 = 6
It turns out our scale factor is 1/6 (the same as dividing by 6).
The answer cannot be 1/8 because 36 / 8 doesn't give us 8 as a quotient.
The answer also cannot be 6 because we'd have to mutliply our current sides by 6 to get the new image, which it was the opposite.
By elimination and work shown, A.) 1/6 is the correct answer.
I hope this helps!
A rectangle has four sides, two equal to the width and two equal to the length. So, the perimeter is
If we know that the width is 5, and the perimeter is 125, we have
In your case, the unkown is called x, but the concept is the same:
where x is the length of the rectangle.
