We know form our problem that the third day she biked 20 miles, so we have the point (3,20). We also know that <span>on the eighth day she biked 35 miles, so our second point is (8,35).
To relate our two point we are going to use the slope formula: </span>

We can infer form our points that

,

,

, and

. so lets replace those values in our slope formula:



Now that we have the slope, we can use the point-slope formula <span>determine the equation of the line that best fit the set for Maggie’s data.
Point-slope formula: </span>




We can conclude that the equation of the line that best fit the set for Maggie’s data is

.
Answer:
=4/5(N+7)N
Step-by-Step Explanation:
We move all terms to the left:
-(4/5(N+7)N)=0
Domain of the equation: 5(N+7)N)!=0
N∈R
We multiply all the terms by the denominator
-(4=0
We add all the numbers together, and all the variables
=0
N=0/1
N=0
We'll check if they're orthogonal:
u*v=0
(6,-2)*(8,24)=0
6*8+(-2)*24=0
48-48=0
0=0
they are orthogonal vectors
Answer:
V = a²b³ + acb² units³
Step-by-step explanation:
The volume of a rectangular prism is given by :
V = l×b×h
Here, l = b² units
b = aunits
h = ab+c units
So, the volume of the prism is given by :
V = b² × a × (ab+c)
= ab²(ab+c)
= a²b³ + acb²
Hence, the required volume is a²b³ + acb² units³.