EQUATION OF A CIRCLE: (x-h)² + (y-k)² =r²
= (x+1)² + (y-4)² =3
First, you do 18 miles times 3 hours.
The answer is 54
The you do 15 miles time 2 hours
The answer is 30
You can add them all up and get 84 miles total. (D)
Answer:
1/3
Step-by-step explanation:
Take the far side original length and dilated length 3/9 divide it = 1/3 and that’s the answer
The answer to this question would be: (6.5 , 8.5)
To answer this question, you need to determine the x and y distance of both point. From A point the distance would be:
X distance= 14-4= 10
Y distance= 10-8= 2
Making it into 1:3 ratio means that dividing the line into 4 parts then take 1 part from the point A, or 3 part from point B. From A point the distance would be 1/4 total distance
The location would be:
X= 4 + (10*1/4)= 6.5
Y= 8+ (2*1/4)= 8.5
(6.5 , 8.5)
Answer:
The solution to the differential equation
y' = 1 + y²
is
y = tan x
Step-by-step explanation:
Given the differential equation
y' = 1 + y²
This can be written as
dy/dx = 1 + y²
Separate the variables
dy/(1 + y²) = dx
Integrate both sides
tan^(-1)y = x + c
y = tan(x+c)
Using the initial condition
y(0) = 0
0 = tan(0 + c)
tan c = 0
c = tan^(-1) 0 = 0
y = tan x
