Answer:
1330 rounds of meetings
Step-by-step explanation:
You have a total of 21 people, and they all want to meet with each other in groups of 3. This means we are dealing with a combination problem, where combination is the selection of items in which order does <em>not</em> matter.
Formula for combination:
ₙCᵣ =
where <em>n</em> is the total number of objects (in this case, total number of people: 21), and r is the sample set (in this case, groups: 3).
We plug in and get:
->
-> 1330 different meetings for everyone to meet with each other in groups of 3.
Answer:
Total distance = 5 miles
Step-by-step explanation:
Given:
Total time for drive = 10 min = 10 / 60 = 1/6 hour
Time for stop = 5 min
Speed = 30 miles pr hour
Find:
Total distance
Computation:
Total distance = Speed × time
Total distance = 30 × (1/6)
Total distance = 5 miles
Answer:
Step-by-step explanation:
15²+20²=225+400=625
22²=484
15²+20²≠22²
it is not a right angled triangle.
not all sides equal so not an equilateral triangle.
No two sides are equal .
it is not an isosceles triangle.
it is scalene.
Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.
But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.
Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).
What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.
So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.
#1 is true. The term they have in common is y with an invisible coefficient in-front of the second y term
#2 has zero like terms. 15 has no variable, and the other terms have different variables.
#3 has two like terms, that’s 9 and 8 which add to equal 17. The answer is 3x + 17 aka D.
#4 has two like terms, the numbers with the variable ‘n’. 4n + 7n = 11n. Your answer is 11n + 12 aka D