Answer:
y = 
x - 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (4, - 5 ) and (x₂, y₂ ) = (8, 1 )
m = 
= 
= 
= , then
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 1 ) , then
1 = 12 + c ⇒ c = 1 - 12 = - 11
y = x - 11 ← equation of line in slope- intercept form
Answer:
Step-by-step explanation:
The basic model for this growth is the exponential function: y = a(b)^c, where a is the initial value, b is the growth rate and c is the time.
Here we have P = fish population = (2 fish)(3)^t
I believe you would do 6! which is 6*5*4*3*2*1 to find the number of solutions.
This is the concept of algebra, given that the formula for the surface area of the prism is modeled by the expression SA=2s²+4sh , the surface area of the prism when s=3 and h=5 will be found by substituting the values in our expression as follows;
SA=2(3)²+4×3×5
SA=2(9)+60
SA=18+60
SA=78 sq. units
The answer is 78 sq. units
Answer:
(x+1)² + y² = 36
Step-by-step explanation:
<u>Equation of a circle:</u>
(x-h)² + (y-k)² = r²
Center: (h,k)
Radius: r
Given a center of (-1,0) and a radius of 6, we have for our equation:
(x-(-1))² + (y-0)² = 6²
(x+1)² + y² = 36
