Answer:
Step-by-step explanation:
if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3
5.
x=(-2+4+10)/3=4
y=(6+0+6)/3=4
centroid=(4,4)
6.
x=(3+5-2)/3=2
y=(3-1+1)/3=1
centroid=(2,1)
we know that
If the point belongs to the graph, then the point must satisfy the equation
we will proceed to verify each case
<u>case A.)</u> 
The point is 
Verify if the point satisfy the equation
For
find the value of y in the equation and compare with the y-coordinate of the point



therefore
the equation
not passes through the point 
<u>case B.)</u> 
The point is 
Verify if the point satisfy the equation
For
find the value of y in the equation and compare with the y-coordinate of the point



therefore
the equation
passes through the point 
<u>case C.)</u> 
The point is 
Verify if the point satisfy the equation
For
find the value of y in the equation and compare with the y-coordinate of the point



therefore
the equation
not passes through the point 
<u>case D.)</u> 
The point is 
Verify if the point satisfy the equation
For
find the value of y in the equation and compare with the y-coordinate of the point



therefore
the equation
passes through the point 
therefore
<u>the answer is</u>


Answer:
1/4
Step-by-step explanation:
Possible outcomes
For example let's name the tyre ABCD so the possible answer given by the students are
AA,AB,AC,AD,BA,BB,BC,BD,CA,CB,CC,CD,DA,DB,DC,DD.. Giving16 possible result
probability of giving same answer is
possible same answer is AA,BB,CC,DD. giving 4 possible result
Therefore 4/16 = 1/4
The theoretical probability is what is expected based on using math. Since there is only one card that is number 1, and there are 400 possible outcomes, then the theoretical probability is 1/400 which is 0.25%.
Now find the experimental probability by find the number of times card 1 is picked, and the number of cards in total. 128/400 = 0.32 which is 32 percent.
The experimental probability is higher than the theoretical probability.
Hope this helps
Answer:
<h2>x = 4.1 cm</h2>
Step-by-step explanation:
Use the Pythagorean theorem:

We have

Substitute:

<em>subtract 60.84 from both sides</em>
