Answer:
Step-by-step explanation:
<u>Given vertices of triangle:</u>
- A(1, 2), B(3, 4), C(5, 0)
<u>The centroid is found as the average of x- and y- coordinates of three vertices:</u>
- C = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3)
<u>Substitute the coordinates into formula:</u>
- C = ((1 + 3 + 5)/3, (2 + 4 + 0)/3) = (3, 2)
Correct choice is B
Answer:

Step-by-step explanation:
Given
See attachment for the grid coordinate
From the attachment, we have that:

Required
Determine the coordinates of the second truck
Represent the position with R'
From the question, we understand the position of R' is 6 above R
When a point (a,b) is moved n point above, the new point becomes (a, b + n)
So:

When moved 6 points above becomes:


<em>Hence, (-4,4) answers the question</em>
Answer:
the second statement is not true
Step-by-step explanation:
If x squared equals 100, it doesn't mean necessarily that x is positive ten, since you can get 100 also by squaring the value (-10):
(-10)
The second statement is ignoring the possibility of x being a negative ten which also gives 100 as answered when squared.
A simulation is a mathematical model used to represent a situation.
- A simulation can be a program or a physical test to "simulate" a situation to predict the outcomes.
When we combine two or more simple events we have a compound event
- "Compound" means to combine, like a compound word would be a combination of two words
A Tree Diagram is a diagram that shows all the possible outcomes of an event
- In a tree diagram, each possible outcome "branches" off the main stem, making the final diagram look like a tree with many separating branches.
All the possible outcomes or results is called the sample space
- The outcomes are each different samples, and a sample space is a space that collects each of these samples
When an event is not affected by a previous outcome we have an independent event
- This event is "independent", not affected by other factors, making it an independent event
Let me know if you need any clarifications, thanks!
~ Padoru