Answer: Line 1: (2, 3) , (4, 12)
m = (12 - 3)/(4 - 2) = 9/2 This is the slope of the line
y = (9/2)x + b
3 = (9/2)(2) + b
3 = 9 + b
b = -6
y = (9/2)x - 6
Line 2: (5, 10) , (14,8)
m = (8 - 10)/(14 - 5) = -2/9
this slope is the opposite sign, and inverse of the first equation's slope. Therefore, the line is perpendicular.
y = mx + b
8 = (-2/9)(14) + b
8 = -28/9 + b
11.11 = b
y = (-2/9)x + 11.11
Step-by-step explanation: Hope this helps :)
Answer:
Option A is correct, i.e. 12.
Step-by-step explanation:
Given is the table of x&y relationship which represents an exponential function.
The average rate of change for a function can be found using the following formula:-
F_average = { f(b) - f(a) } / (b-a)
Given a = 3 and b = 5.
From the table, f(3) = 8 and f(5) = 32.
So, F_average = (32-8)/(5-3)
F_average = 24/2 = 12.
Hence, option A is correct, i.e. 12.
147/3=49bags
216/3=72bottles
49*5=245bags
72*5=360bottlesso he can sell 245 bags of popcorn and 360 bottles of water
8x+5= 69
Move +5 to the other. Sign changes from +5 to -5.
8x+5-5= 69-5
8x= 64
Divide by 8
8x/8= 64/8
x= 8
Answer : x= 8
Answer:
Step-by-step explanation:
The formula Length x Width = Area is the correct formula for the area of a rectangle. The same formula works for a square!
