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:
For f(x)+2, it goes along the y axis, 2 units.
For f(x+2), it goes along the x axis, -2 untis.
Step-by-step explanation:
Answer:
3 quarts
Step-by-step explanation:
4/1 = 12/3 so 12 cups =3 quarts
<span>One nickel is 0.077 inches thick. Thus, a stack of nickels that is 100 inches tall would be composed of 100 divided by 0.077 nickels. So, a stack of nickels 100 inches tall would need 1299 nickels.</span>
Factoring this expression using the identity of a²-b² = (a+b)(a-b)
Given :-
25 - x²
<em>This can be broken down into:- </em>
... ( 5 )² - ( x )²
<em>In this case, a is 5 and b is x </em>
... ( 5 + x ) ( 5 - x ) Is the answer.
Hope it helps!!
