Each polygon is divided into a number of triangles. Find the number of triangles if the number of sides in a polygon is: (a) 6
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In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.
<h3>What is system of equation?</h3>
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The number of unknown objects can be find using the system of solution.
Given information-
The cost of each game is $1.25.
The cost of each ride is $2.75.
Total amount of money spent by the Wyatt is $20.25.
The number of rides he went on is twice the number of games he played.
Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is <em>y. </em>
As, the number of rides he went on is twice the number of games he played. Thus,
Let the above equation as equation one.
As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,
Put the value of y in the above equation from the equation one as,
Thus the number of games he played is 3.
Put this value of <em>x </em>in the equation one as,
Thus the number rides Wyatt went on is 6.
Hence, In the carnival the number of games number of rides, Wyatt went on is 3 and 6 respectively.
Learn more about the system of equations here;
ANSWER: y= 3x - 6
STEP-BY-STEP EXPLANATION:
(1,-3) and (3,3)
X1=1 X2=3
Y1= - 3 Y2=3
1) Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope formula:
m =
m= m=
= 3
2)Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and we get:
y= 3x+b
Next choose one of the two point to plug in for the values of x and y. It does not matter which one of the two points you choose because you should get the same answer in either case. I generally just choose the first point listed so I don’t have to worry about which one I should choose.
y= 3x+b point (1,-3)
-3= 3(1) + b
-3-3=b
-6=b
3)Write the answer.
Using the slope of 3 and the y-intercept of -6 the answer is:
y = 3x - 6