Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').
The dilation is therefore:
(x,y) ............> (x',y')
Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky
Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.
Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.
Hope this helps :)
(-1,-10)(3,2)
slope = (2 - (-10) / (3 - (-1) = (2 + 10) / (3 + 1) = 12/4 = 3
y = mx + b
slope(m) = 3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = 3(3) + b
2 = 9 + b
2 - 9 = b
-7 = b
so ur equation is : y = 3x - 7 or f(x) = 3x - 7
Answer:
5
Step-by-step explanation:
What we have to know is that when two triangles are similar their sides will always be proportional. So we will create a proportion that goes like this...
but since it doesn't tell us the exact value of triangle 1. We will have to add 3 and 12 to get 15 which is the base of the first triangle. Now we're ready to write the proportion.
Now we cross multiply and solve the equation...
So the value of x is 5.
Represent even numbers as "2n" since each is a multiple of 2.
Represent odd numbers as "2n+1" since each is one more than an even.
-----------------
Your problem:
smaller # : 2n
larger #: 2n+2
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EQUATION:
2n+2 + 3(2n) = 234
8n = 232
n = 29
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smaller = 2*29 = 58
larger = 2n+2 = 60
9423
three goes into nine three times
which gives you zero then bring the four down
three goes into four one time then subtract four from three then that gives you one than bring the two down which makes twelve and three goes into twelve four times and 12 subtracted from twelve gives zero and then bring the three down and three goes into three 1 time so that equal zero
so in total the whole answer should be 3141
