An architect is designing an octagonal ceiling. She sketches the ceiling on a coordinate plane. The
coordinates of two of its corners are given in the graph. Each unit on the coordinate plane represents
one foot. What is the distance between point A and point B?
A (15, 10)
-25
26
x
B
(15
- 5
A] 20 ft
[B] 5 ft
[C] 30 ft
[D] 15 ft

Which expression is equivalent to the expression shown?

Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a,b and c integers and a> 1

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24