If you are moving the center of circle 2 to the the center of circle 1, then the translation rule is (x,y) ---> (x+4, y+10).
Note how x = 1 turns into x = 5. So we add 4
Also, y = -2 turns into y = 8. We add 10
The scale factor to turn the radius r = 4 into r = 8 is 2. Basically we double the radius. We can divide the two radii to see 8/4 = 2
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Summary:
To go from circle 2 to circle 1, we apply these two transformations
translation: (x,y) ---> (x+4, y+10)
dilation: scale factor 2
note:
if you want to go backwards, go from circle 1 to circle 2, then undo the transformations above
9514 1404 393
Answer:
A. The equation represents a linear function because the equation is in the form y = mx + b
Step-by-step explanation:
A linear function does not have to be in the form y = mx + b, but if a function is in that form, it is a linear function.
choice A is appropriate
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A function may have two variables, x and y, and not be a linear function. For example, y = x² is not a linear function. The fact that it has two variables is not what makes it linear.
so this is how i was taught the inverse function. f(x) is basicly the same thing as saying y
so y=x over x+3
you switch the top x with y so it turns in to x=y over x+3
the problem should tell you what x equals so substitute x with the number it equals and then solve
here is an example f(x)=x over x+3 and x=14
x=y over x+3
14=y over 14+3
the inverse inverse function would probably be just solve the equation so just substitute the number they give you for x in for x
<h3>
Answer: 15 hours (choice D)</h3>
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Work Shown:
(6 hours)/(8 trees) = (x hours)/(20 trees)
6/8 = x/20
6*20 = 8*x ... cross multiply
120 = 8x
8x = 120
x = 120/8
x = 15
It takes him 15 hours to plant 20 trees.
First we need to find the gradient of K
which is y1-y2/x1-x2
(-1,3) and (5,-2)
so it becomes 3-(-2)/-1-5
m=-5/6
when two lines are perpendicular their gradients multiply to make -1
that means the gradient of L has to be 6/5
we can substitute the point on L (5,-2) and the gradient of 6/5 into y=mx+c
-2 = (6/5) x 5 + c
c = -8
the equation of line L is y= 6x/5 -8
