Answer:
a) 26
b) 26/3
Step-by-step explanation:
a)
1) First, you have to turn 4 1/3 into an improper fraction, so you get 13/3
2) Then you do 13/3 *6/1 =78/3 (so you multiply both numerators and denominators)
3) Lastly, 78/3 can be simplified as 26
b)
1) First you turn both fractions into improper fractions, so you get 13/5 and 10/3
2) Then you do 13/5*10/3 (so you multiply both numerators and denominators)
3) You get 130/15, which can be simplified as 26/3
28=2*2*7=2²*7;
46=2*23=>the greatest common factor is 2
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: y=8x-3
explanation:
y=mx+b
m= slope
b= y intercept
m=8 b=-3
y=8x-3
Answer:
1 to 0.99 cents
Step-by-step explanation:
Always look for the number one and compare it to the other number and that is usually the unit rate.