Answer:
B. 48x - 56
Step-by-step explanation:
System of Linear Equations entered :
[1] 5x - 6y = 7
[2] 6x - 7y = 8
Graphic Representation of the Equations :
-6y + 5x = 7 -7y + 6x = 8
Solve equation [2] for the variable x
[2] 6x = 7y + 8
[2] x = 7y/6 + 4/3
// Plug this in for variable x in equation [1]
[1] 5•(7y/6+4/3) - 6y = 7
[1] - y/6 = 1/3
[1] - y = 2
// Solve equation [1] for the variable y
[1] y = - 2
// By now we know this much :
x = 7y/6+4/3
y = -2
// Use the y value to solve for x
x = (7/6)(-2)+4/3 = -1
Step-by-step explanation:
pythagoras theorem: c²=a²+b²
Where c= longest side of a right angle triangle
AB= 6+r = c
AD= 12 =a
CD= r =b
(6+r)² = 12²+ r²
36+12r+r² =144 +r²
12r+r²-r²=144-36
12r=108
r= 108/12
r=9
