Answer:
- The radius is r = 3 in,
- The height is h = 4 in
<u>The area of the base:</u>
- A(b) = πr² = π(3²) = 9π in²
<u>The circumference of the base:</u>
<u>The area of the lateral surface:</u>
- A(l) = Ch = 6π(4) = 24π in²
<u>The surface area:</u>
- S = 2A(b) + A(l) = 2*9π + 24π = 42π in²
The recurring decimal number 9.2424... expressed in mixed number is 
In the given decimal number, 2 is the digit at the tenth place and 4 is the digit at the hundredth place.
The fraction part
in the simplest form is 
The whole number part is 9.
Therefore, the number 9.2424... as a mixed number in the simplest form is 
Answer:

Step-by-step explanation:
Vertical lines take the form of
and horizontal lines take the form of 
Why is this? Notice that whenever you make a horizontal line on a graph and select virtually any point that's on that line, all of the points you pick will have the same y value. Try to imagine the same thing with a vertical line, are the results the same?
So the line
(we got -12 from the coordinate that was given to us on the question prompt) is a vertical line that passes through virtually all possible y values (from positive infinity to negative infinity, or vice-versa) which means that the question prompt having given us the y value was negligible.
Good luck!
Answer:
New coordinates for A - (2, -5)
New coordinates for B - (5, -3)
Step-by-step explanation:
When translating a point to the 7 units right, you must add 7 to the x coordinate. When translating a point 8 units down you must subtract 8 from the y coordinate.