Given the points A and B
The coordinates of point A = ( 3 , 1 )
The coordinates of point B = (-1 , -1)
The midpoint of AB, is the point C
C will be calculated as following :
so, the midpoint of AB = (1 , 0 )
Answer:
The Second Soccer Team
Step-by-step explanation:
First Team: 8/4=2
Second Team: 27/9=3
The first team scored 2 goals per game while the second team scored 3 goals per game.
Answer:
1200 children and 1500 Adults
Step-by-step explanation:
Suppose x be the children and y be the adults as total people are 2700 that have entered so we can write an equation as
x+y=2700 (Equation 1)
and as per child $1.50 is the cost and $4 for every adult and collectively we have got $7800 so we can write the equation as
1.50x+4y=7800 (Equation 2)
Extracting the value of y from equation 1
Y=2700-x (Equation 3)
Putting the value of y from equation 3 into equation 2
1.50x+4(2700-x)=7800
1.50x+10800-4x=7800
1.50x-4x=7800-10800
-2.5x=-3000
Cancellation of negative signs on both sides
x=3000/2.5
x=1200
Putting the value of x in equation 3 to get the value of y
y=2700-1200
y=1500
Answer: (Mayadc821 wrote this anwser check theyre account for more)
Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:
y = mx + b
-10 = m(1) + b
m + b = -10
b = -10 - m
Now that we have a value for b, we can plug this into the other equation:
8 = m(-8) + b
8 = -8m + (-10 - m)
8 = -9m -10
18 = -9m
m = -2
Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:
b = -10 - m
b = -10 -(-2)
b = -10 + 2
b = -8
Our final equation is y = -2x - 8
