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Answer:
D. Triangle QRS is an isosceles triangle because QR = RS.
Step-by-step explanation:
Find the length of each side of the triangle using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
For side RS
R(0,0) and S(5, -3.322)
RS = √(5-0)²+(-3.322-0)²
RS = √25+11.035684
RS = √36.035684
RS = 6.0029
For side RQ
R(0,0) and Q(-3, -5.2)
RQ = √(-3-0)²+(-5.2-0)²
RQ = √9+27.04
RQ = √36.04
RQ = 6.0033
For side QS
Q(-3,-5.2) and S(5, -3.322)
QS = √(5+3)²+(-3.322+5.2)²
QS = √64+3.526884
QS = √67.526884
QS = 8.22
From the calculation it can be seen that RS=QR
Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal
Answer:
d. An optimal solution to linear programming problem can be found at an extreme point of the feasible region for the problem.
Step-by-step explanation:
A feasible solution satisfies all the constraints of the problem in linear programming. The constraints are the restrictions on decision variable. They limit the value of decision variable in linear programming. Optimal solutions occur when there is feasible problem in the programming.
Answer:
no solution
Step-by-step explanation:
if you distribute and simplify:
4x-12 = 12+4x-8
4x-12 = 4x+4
-12 ≠ 4
Answer:
80 km/h
Step-by-step explanation:
Let p represent the planned speed in km/h. Using the relation ...
... distance = speed × time
we can take advantage of the fact that the planned trip distance did not change.
... p × 2.5 = (p+20) × (2.5 -0.5)
... 2.5p = 2p +40 . . . . simpify
... 0.5p = 40 . . . . . . . . subtract 2p
... p = 80 . . . . . . . . . . . divide by 0.5
The planned speed was 80 km/h.