Answer:
M= (1, 7/2)
Step-by-step explanation:
M = midpoint
M= ((x1+x2)/2) , ((y1+y2)/2)
we have:
P1 = (4,2)
P2 = (-2,5)
x1= 4 y1= 2
x2= -2 y2= 5
we have:
M= ((4-2)/2) , ((2+5)/2)
M= (2/2 , 7/2)
M= (1, 7/2)
Answer:
x= 8 + 2y/3
Step-by-step explanation:
6x = 48+4y
x = 48/6 + 4y/6
simplify
x= 8 + 2y/3
Answer:
<em>Answer: c) S=20R+60</em>
Step-by-step explanation:
<u>Linear Model</u>
The chart supplied shows the number of rows (R) in an auditorium and the total of seats (S).
We'll find the equation that relates them. The equation of a line can be expressed in the slope-intercept form:
S = mR + b
Where m is the slope and b is the intercept.
The slope is found by:

We'll use two sample points (20,460) and (45,960):

m = 20
The value of b can be found by using one of the points, for example (20,460), and having m=20:
460 = 20*20 + b
Thus: b = 460 - 400 = 60.
The equation is:
S = 20R + 60
You can test the other points and check they belong to the same line.
Answer: c) S=20R+60
Im pretty sure there is 145 students
Easy, find the equation of the line,
Using y=mx+b form:
(-1,3) m=2
3= 2(-1)+b
3= -2+b
+2 +2
5=b
y=2x+5. This is your equation.
Now, plug in the coordinates:
(-3,2)
2= 2(-3)+5
2= -6+5
2= -1
NO
(0,5)
5= 2(0)+5
5=5
YES
(1,5)
5= 2(1)+5
5= 2+5
5=7
NO
(1,4)
4= 2(1)+5
4= 2+5
4=7
NO.
Thus, B, is your answer.