The triangles are similar. Specifically the largest triangle and the smaller triangle on the right side
We can form the proportion below and solve for x
x/(x+3) = (x+3)/12
12*x = (x+3)(x+3)
12x = x^2+6x+9
x^2+6x+9 = 12x
x^2+6x+9-12x = 0
x^2-6x+9 = 0
(x-3)^2 = 0
x-3 = 0
x = 3
Final Answer: 3
Here is the equation:
You need to find f(3). To do that, substitute all the x's with 3:
The first thing you need to do is multiply 4 by 3. Multiply:
Here is your new equation:
To get your answer, you need to add 12 and 1. Add:
That means:
<em>If you have any questions, feel free to ask in the comments! :)</em>
If the height of candle after 10 and 26 hours are 25 cm and 17 cm then the height of candle after 21 hours is 19.5 cm.
Given height of candle after 10 hours is 25 cm , height of candle after 26 hours is 17 cm.
We have to find the height of candle after 21 hours.
We have been given two points of linear function (10,25),(26,17).
We have to first form an equation which shows the height of candle after x hours.
let the hours be x and the height be y.
Equation from two points will be as under:
(y-25)=(17-25)/(26-10)* (x-10)
y-25=-8/16 *(x-10)
16(y-25)=-8(x-10)
16y-400=-8x+80
8x+16y=480
Now we have to put x=21 to find the height of candle after 21 years.
8*21+16y=480
168+16y=480
16y=480-168
16y=312
y=312/16
y=19.5
Hence the height of candle after 21 hours is 19.5 cm.
Learn more about equation at brainly.com/question/2972832
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21/7=3 With $21 you can buy 3 tickets at $7 a piece.