9514 1404 393
Answer:
1/4
Step-by-step explanation:
The common ratio is the ratio of successive terms:
16/64 = 4/16 = 1/4
The common ratio is 1/4.
The width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.
<u>Explanation:</u>
Given:
Two rectangles are proportional.
Length and width of 1 rectangle = 6 : 8
Dimensions of the other rectangle = ?
Let length and width of the other rectangle be x : y
According to the question:


So, the width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.
First, let's find what √14 equals.
√14 ≈ 3.74
Now, we can solve for all the answer choices.
Option A:
19/6 = 3.1666...
22/7 = 3.1428...
Option B:
Doesn't need to be solved.
3.17
3.71
Option C:
√4 = 2
√9 = 3
Option D:
Doesn't need to be solved.
3.70
3.75
The only option that contains √14 between it, is Option D.
Hope This Helped! Good Luck!
you add up 138+225 and you get 363 then you subtract 482-363 this is how you set it up:
4 8 2
- 3 6 3
------------
you have to borrow because 3 does not go into 2 so you change the 8 into a 7 then you 10 to 2 and you get 12 so this is what it looks like:
4 7 12
- 3 6 3
-------------------
so you then subtract 12-3=9 then 7-6=1 then 4-3=1
so this is what it looks like
4 7 12
--- 3 6 3
--------------------
1 1 9
so on Sunday they rode 119 miles
An absolute value is positive value of any value. So the abs value of -28 is 28. The abs value of 67 is 67. Makes sense?
If it were |27-3| for example, treat the inside of a abs as parenthesis, so you must complete PEMDAS inside of it to reduce the equation to |24|, unless you wanted it to become |27| - |3|.
For functions, this becomes slightly different and more difficult, especially when adding a variable such as x. Look below for a sample equation.
|2x-3|=1
This equation will actually have (and most others) 2 solutions for x. To find these, you’ll need to multiply the inside of the abs by -1 for one equation, and leave it as it is for the other!
2x-3=1 -(2x-3)=1
Now you have to solve BOTH equations to get your correct x-value answers.
For the first listed equation:
2x=4
x=2
For the second listed equation:
-2x+3=1
-2x=-2
x=-1
So you get the x-values -1 and 2 which both make the parent function true!