Answer:

Step-by-step explanation:
1) if the required straight line is 'l', the given point is A(a;b), then the required equation of line can be written in form:

where (x₁;y₁) is other point B, which belongs to the 'l';
2) from the equation it is possible to detect the coordinates of the perpendicular, they are (x₁-a;y₁-b);
3) if the given perpendicular is ax+by=5, then the coordinates of the vector (a;b) are coordinates of the vector, which belongs to the required line 'l', and then: x₁-a=a and y₁-b=b;
4) if to substitute the a=x₁-a and b=y₁-b into the required equation of line 'l', then:

5) finally, the equation is: ay=bx, or y=b/a *x (slope-interception form).
note: the suggested solution is not the only way.
Answer:
Option D.
Step-by-step explanation:
-If the attached graph shows the distance above sea level to which Bethanie's leads as a function of time, then we can observe that after having elapsed 8 minutes Bethanie's is a distance of 0 from sea level.
The graph shows that the value of B(t) is always less than 1 during the 8 minutes of travel.
-On the other hand, the function
that models the distance above sea level that Mike drives as a function of time, shows us that after 3 minutes the distance M(t) begins to increase rapidly until at t = 8 minutes:
.
Therefore the correct option is D
The person who leads to the highest elevation is Mike.
Answer:
k=8
Step-by-step explanation:
subtract 12 from both sides giving you 56 then divide that by 7 giving you 8