Answer:
n = 6.2/-10.4=0.5962
Step-by-step explanation:
What is the value of n in the equation. we would make n the subject formula -1.2(2n+4)+6=-9+4(2n+1)
Opening the brackets,
-1.2×2n -1.2×4 + 6= -9 +4×2n + 4×1
-2.4n -4.8 +6 = -9 +8n + 4
-2.4n -4.8 +6 = -9 + 4 + 8n= -5+8n
Collecting like terms
-2.4n-8n = -5+4.8-6
-10.4n =-6.2
n = -6.2/-10.4= 0.5962
Let's check, put n= 0.5962 in the equation
-2.4n -4.8 +6 = -9 +8n + 4
Lefthand side
-2.4×0.5962-4.8+6= -0.230
Right hand side
-9+ 8× 0.5962 +4
=-9 +4.7696 +4
=0.230
Right hand side = left hand side
Answer:
(x +3)^2 + (y -3)^2 = 3^2
Step-by-step explanation:
Your first task is to find the center.
The longest possible line of the circle goes from (-3,0) to (-3,6)
So the center is at the midpoint of these two points.
The midpoint is at (-3 - 3)/2 , (6+ 0)/2 or (-3,3)
That gives you the center of the circle.
So far what you have is
(x +3)^2 + (y -3)^2 = r^2
Now the distance of the center to the bottom point is (-3,3) to (-3,0)
r^2 = (x2 - x1)^2 + (y2 - y1)^2
x2 = - 3
x1 = - 3
y2 = 3
y1 = 0
r^2 = (-3 - -3)^2 + (3 - 0)^2
r^2 = 3^2
The entire answer is
(x +3)^2 + (y -3)^2 = 3^2
Part 1
Let:
y be the total cost
x be the number of tickets
a be fair admission
Since the fair charges $1.25 per ticket, the equation of the line would look like:
y = 1.25x + a
Since Johnny spent $43.75 and bought 25 tickets, we find a by replacing y with 43.75 and x with 25:
43.75 = 1.25×25 + a
Now solve for a
43.75 = 31.25 + a
43.75 - 31.25 = a
a = 12.50
Going back to the first equation:
y = 1.25x + 12.50
Part 2:
a) Let (9,8) be (x1,y1) and (4,-12) be (x2,y2)
The formula for slope is:

b) For the point-slope equation, I'll use (9,8)
Using the formula:

c) For the slope-intercept form, we solve for y in the point-slope formula:
It has no solution bc there or no point and because its not the same line