Answer:
rate that Mary has run: D = 8T
Step-by-step explanation:
distance = rate × time
Answer:
No solution.
Step-by-step explanation:
Given

Required
Find all possible solutions
If
, then the triangle is right-angled and the hypotenuse is at b
Given that 
This implies that a > b
In a right-angled triangle, the hypotenuse (side b) is the longest.
Since this is not true for the given sides, then the triangle has no solution.
Answer: Technically, it would be 9/3, but you can simplify that to 3.
Answer:
a)
, b)
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:


The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:


According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:


The exact solution is
, indicating that graphic solution leads to a good approximation.
Answer:
- ∠N ≅ ∠J - given
- LN ≅ LJ - given
- ∠L ≅ ∠L - reflexive property
<u>Postulate</u>: ASA
<u>Congruency Statement:</u> ΔJML ≅ ΔNKL