Provide an appropriate response.Are the points A(3, 6), B(6, 9), C( 8, 1), and D(11, 4) the vertices of a parallelogram (opposite sides equal in length)? of a rhombus (all sides equal in length)?
A. no; no
B. no; yes
C. yes; yes
D. yes; no
Answer: D
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Solve using Cramer's Rule.Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If a 109-pound force is applied at the peak of the truss, then the forces or weights W1 and W2 exerted parallel to each rafter of the truss are determined by the following linear system of equations. Solve the system to find W1 and W2. src="https://sciemce.com/media/4/ppg__tttt0508191537__f1q46g3.jpg" style="vertical-align: -4.0px;" />W1 - 
W1 + 
W2 = 218 
W2 = 0
A. W1 = 97.73 lb; W2= 79.79 lb
B. W1 = 39.9 lb; W2= 48.86 lb
C. W1 = 79.79 lb; W2= 97.73 lb
D. W1 = 109 lb; W2= 133.5 lb
Solve the equation for the specified variable.F = 
C + 32 for C
A. C = 
(F - 32)
B. C = 
C. C = 
(F - 32)
D. C = 
Solve.An apartment complex has 5 apartment buildings. Each building has 6 floors with 7 apartments per floor. Find how many apartments are in this complex.
A. 18 apartments B. 210 apartments C. 200 apartments D. 220 apartments
Provide an appropriate response.A student is trying to solve the equation (x + 3)(x - 6) = 7. The student has set x + 3 = 7 and x - 6 = 7 and found that two solutions x = 4, x = 13. The student checks his or her results by plugging in his or her solutions into the original equation and finds that they do not work. How would you advise him or her?
What will be an ideal response?