Answer:
Step-by-step explanation:
difference of x-coordinates = 4-(-6) = 10
difference of y-coordinates = -1-9 = -10
partition the differences into a ratio of 1:4
10 × 1/(1+4) = 2
-10 × 1/(1+4) = -2
(-6+2,9-2) = (-4,7)
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) Create a linear equation
Let
t ----> the time in minutes
y ---> the temperature in °F
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
In this problem we have
The slope m is equal to

The y-intercept is

substitute

Part b) How many minutes until the water boils at 212° F?
For y=212° F
substitute in the linear equation and solve for t




Just plug in 2 for x since f(x) = f(2)
f(2)=2^2+1
f(2)=4+1
f(2)=5
Answer:
56.52
Step-by-step explanation:
This is because in order to find an area of a circle you must do R^2*3.14 and since it is a semicircle add /2 so R^2*3.14/2 and since half of 12 is 6, 6*6 is 36 and 36*3.14 is 113.04 and divide that by 2 which is 56.52
Answer:
54 students
Step-by-step explanation:
331 - 7
= 324
324 ÷ 6
= 54 students