<h3>
Answer:</h3>
3. T(x, y)(x + 5, y + 2)
<h3>
Step-by-step explanation:</h3>
The square is the same size it was, so the dilations of answers 1 and 2 cannot be correct.
It is moved 5 units to the right (x is increased by 5) and 2 units up (y is increased by 2), so the third answer choice is appropriate.
X(midpoint)<span> = (x1+x2) / 2 = (-1 - 6)/2 = -7/2 = -3.5
y(midpoint) = (y1+y2) / 2 = (5 - 2)/2 = 3/2 = 1.5
Answer
midpoint of the segment = (-3.5 , 1.5)</span>
Answer:
- 45 regular keyboards
- 15 wireless keyboards
Step-by-step explanation:
A set of 3 regular and 1 wireless keyboard would sell for ...
3×$83 +110 = $359
For the given sales, the number of sets sold was ...
$5385/($359/set) = 15 sets
Since there are 3 regular keyboards in each set, there were 3×15 = 45 regular keyboards sold. The number of each type of keyboards sold is ...
45 regular keyboards and 15 wireless keyboards
_____
<em>Comment on this solution</em>
When a problem statement tells you the ratio of one kind of item to another, it is often convenient to group the items in that ratio and deal with the groups. Sometimes, there will be a few missing or left over, for example "10 more than 3 times as many." In those cases, you can make an adjustment to the total and still deal with the groups. (Any equations you might write will effectively do this same thing.)
Answer:
Step-by-step explanation:
P=5/12×2/12=5/72
The circumference of a circle is calculated using the following equation:

Where d is equal to the diameter (the length of a straight line from one side of the circle to the other side).
We know that the diameter of the circle given (also known as AB) is equal to 20 cm.
We can then plug this into the equation and solve for the circumference:

Since the question asks for the answer to be in terms of

, this is as far as we need to go. So
the circumference of the circle is:
or D.