Answer:
Step-by-step explanation:
Solving :
Use the information in the diagram to determine the height of the tree to the nearest foot
2 answers:
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Answer:
B' (16, 14)
Step-by-step explanation:
<em>Whenever we have a dilation with a scale factor b, we get the new point as:</em>
<em>Let original point be (x,y), then the dilation would make it (bx, by).</em>
<em />
There is a diagonal that goes through AC and another through BD. The midpoint of both the diagonal is same. Midpoint formula is:
<u>Midpoint of AC:</u>
Now let vertex B have coordinates (x,y). <u>Midpoint of BD:</u>
<em>Equate this to the midpoint of AC:</em>
<em>(x+2)/2=5</em>
<em>x+2 = 10</em>
<em>x = 8</em>
<em />
<em>and</em>
(y+1)/2=4
y+1=8
y = 7
Thus, B(8,7)
<em>recalling dilation of scale factor 2 rule we said at the beginning, B' would be twice of each coordinate. Hence B' = (16,14)</em>
Answer:
g(f(x)) = x
Step-by-step explanation:
You are given f(x) = -4x - 1 and g(x) = . Keep in mind that f(x) or g(x) is the same as a y = equation, but two separate equations.
You are trying to find g(f(x)), which means that you will use f(x) and substitute this value into the x value in the equation of g(x).
It will look like: g(-4x - 1) =
Now evaluate the expression to solve the problem. Start by combining like terms.
You are left with -4x/-4. We can simplify this even further by dividing both sides of the fraction by -4/-4. The -4's cancel out and become 1's, so you are left with: