Answer:
Rate: In mathematics, a rate is the ratio between two related quantities in different units. If the denominator of the ratio is expressed as a single unit of one of these quantities. "The most common type of rate is "per unit of time."
Unit Rate: A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Step-by-step explanation:
Given statement is "What is the intersection of the given lines AE and DE?".
That gives us information that there are two lines named AE and DE which intersect each other. Now we have to find their intersection point.
If you see carefully the name of both lines AE and DE then you will find that; they have common letter "E" in their name.
That means point "E" lies on both lines.
We know that intersection point always lies on both lines.
Which proves that point "E" is the intersection point.
Hence choice "<u>B. Point E" </u>is the final answer.
Answer:
<h2><u><em>
Area = x² + 8x + 12</em></u></h2><h2><u><em>
Perimeter = 4x + 16</em></u></h2>
Step-by-step explanation:
The area of a rectangle is given by the formula:
Area=width×height
The perimeter of a rectangle is given by the formula
Perimeter=2(width+height)
Area
(x + 6) × (x+2) =
x² + 2x + 6x + 12
x² + 8x + 12
------------------
Perimeter
2 × (x + 6 + x + 2) =
2 × (2x + 8) =
4x + 16
The answer is 11
Hope this helps!!
Answer:
66
Step-by-step explanation:
If there are <em>n</em> students, then the number of pairs is 
.
With 12 students, 
pairs can be formed.
The reason the formula works is this: Each of the 12 students can be paired with 11 other students (no student is paired with him/her self). But counting 12 x 11 = 132 counts each pair <u>twice</u>. Example: student A can be paired with student B,..., student B can be paired with student A. The pair was counted two times.
See the attached image that shows pairings of 5 students. There are
5(5 - 1)/2 = 5(4)/2 = 10 pairs.
