Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.
Answer:
A, C
Step-by-step explanation:
When you put the equation y = x -12 into a TI-84 calculator (because it has graph) and go to the table you can see that B,D,E don’t have the same y-axis even though their x-axis is the same but the y-axis isn’t, therefor A and C is the correct answer.
Sorry not the best explanation but I hope it helps
Answer:
2:1
Step-by-step explanation:
There are 14 spoons (not sure what they are) and 7 eyes so it is 14:7
simplified it is 2:1
Hope this helps :)
Answer:
x=1
Step-by-step explanation:
Step 1: Subtract 2x from both sides.
Step 2: Add 6 to both sides.
Step 3: Divide both sides by 6.
Answer:
x=1
