2. y = -4x + 1 so slope m = -4
passing thru (3,-1)
y = mx + b
-1 = -4(3) + b
-1 = -12 + b
11 = b or b = 11
answer:
equation: y = -4x + 11
4.
answer is a. -2, 1/2 opposite reciprocal
b. 1/4 , 4 ..... only reciprocal
c. 5, -5..........only opposite
I think you have to first separate the integral:1/(1+v^2) + v/(1+v^2),
so the integral of the first term is ArcTan (v) and for the integral of the second term i recommend you to do a change of variable:
y= 1+v^2
so
dy= 2v
and
v= dy/2and then you substitute:v/(1+v^2) = (1/2)(dy/y)
and the integral is
(1/2) (In y)finally you plug in the initial variables:
(1/2)(In [1+v^2])
so the total integral is:
ArcTan (y) + (1/2)(In [1+v^2])
Answer:
41 2/3 oz of water
Step-by-step explanation:
All you have to do is multiply 8 1/3 by 5.
First, lets convert 8 1/3 into an improper fraction (a fraction where the numerator is greater than the denominator):
8 1/3 = 25/3
now, we can multiply 25/3 by 5 and get 125/3, which simplifies to 41 2/3
Answer:
1,2,4,5,8,10,20,25,40,50,10,125,200,250,500,1000
Step-by-step explanation:
prime factorization is
1000=2*2*2*5*5*5