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:
1
Step-by-step explanation:
Answer:
This is actually a reduction, and the scale factor of this dilation is 0.5.
Are these the choices? <span>Cost, Time, Pace, Materials?
I think the answer would be - it is a measure of the efficiency of the materials used in the car. Since this talks about how many gallons of gas a drive of 25 miles would consume. </span>
Answer:
x^2 -20x + 100
Step-by-step explanation:
How this works is that you multiply each number by every other number, so.
(x+a)(x+b) so you do x times x since the parenthesis multiplies them together. Then you do x times b.
Then you do a times x since a is the next number in the first pair. then you do a times b.
(* is the sign for multiplication for the sake of simplifying it and to be easier than doing something like x x x where you are multiplying x together with x.)
So in the expression (x + a)(x + b) you are basically doing
x * x + x * b + a * x + a * b
In your case, a is = to -10 and b is equal to -10
So your expression would be
x * x + x * -10 + -10 * x + -10 * -10
so x times x is x^2 and x times -10 is -10x You are doing -10 * x twice so it is -20x and -10 times -10 is 100
So the final equation would be x^2 plus -20x plus 100 or
x^2 + (-20x) + 100
which is
x^2 -20x + 100
Hope this helps!
