Seven thousand two hundred thirty one divided by twenty-four
Answer:
- K'(4, -4)
- L'(8, -4)
- M'(8, 8)
- N'(4, 8)
Step-by-step explanation:
Dilation centered at the origin multiplies every coordinate value by the scale factor.
K(1, -1) ⇒ K' = 4(1, -1) = (4, -4)
L(2, -1) ⇒ L' = 4(2, -1) = (8, -4)
M(2, 2) ⇒ M' = 4(2, 2) = (8, 8)
N(1, 2) ⇒ N' = 4(1, 2) = (4, 8)
Answer:
modify tge production
Step-by-step explanation:
Answer:
Each side is 35.78 mm
Step-by-step explanation:
A square would have 4 equal sides. Since area of a square is x^2, where x is one side, we can write:
x^2 = 1280
x = 35.78 mm
Each side is 35.78 mm
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.