Given the pattern:
4,15,7,12,10,9,..
Every other term after the first term is increasing by 3. Thus continuing the pattern we shall have:
4, 15, 7, 12, 10, 9, 13, 11,16
thus the missing numbers will be:
13,11,16
(x - h)² + (y - k)² = 25
(x - (-4))² + (y + (-6))² = 25
(x + 4)² + (y - 6)² = 25
(h, k) = (-4, 6)
The answer is B.
Answer:
θ is decreasing at the rate of 
units/sec
or 
(θ) = 
Step-by-step explanation:
Given :
Length of side opposite to angle θ is y
Length of side adjacent to angle θ is x
θ is part of a right angle triangle
At this instant,
x = 8 , 
= 7
( denotes the rate of change of x with respect to time)
y = 8 , 
= -14
( The negative sign denotes the decreasing rate of change )
Here because it is a right angle triangle,
tanθ = 
-------------------------------------------------------------------1
At this instant,
tanθ = 
= 1
Therefore θ = π/4
We differentiate equation (1) with respect to time in order to obtain the rate of change of θ or (θ)
(tanθ) = (y/x)
( Applying chain rule of differentiation for R.H.S as y*1/x)
θ(θ) = 
- 
-----------------------2
Substituting the values of x , y , , , θ at that instant in equation (2)
2(θ) = 
*(-14)- 
*7
(θ) =
Therefore θ is decreasing at the rate of units/sec
or (θ) =
Answer:
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
12x - 3 = 3 • (4x - 1)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : 4x-1 = 0
Add 1 to both sides of the equation :
4x = 1
Divide both sides of the equation by 4:
x = 1/4 = 0.250
One solution was found :
x = 1/4 = 0.250
Step-by-step explanation:
Answer:
you take the graphs information and you write it in an equation.
Step-by-step explanation:
you take the graphs information and you write it in an equation.
