We consider the x- and y-coordinates separately. Let the coordinates of G be (x, y). Now considering the x-coordinates:
FG/FH = (x - (-3)) / (-3 - (-3)) = 2/3
x + 3 = (2/3)(6)
x = 1
For the y-coordinates:
FG/FH = (y - 2) / (7 - 2) = 2/3
y - 2 = (2/3)(5)
y = 16/3
Therefore the coordinates of G are (1, 16/3).
The ages are consecutive even numbers.
The youngest child is (x+3) years old.
Every even number is 2 more than the one before it.
So the three ages are
(x + 3), (x + 5), and (x + 7).
Their sum is x+3 + x+5 + x+7 = 3x + 15
But we're told that their sum is 42, so we can write
3x + 15 = 42 <== the equation
Subtract 15 from each side: 3x = 27
Divide each side by 3 : x = 9 <== the solution
So the three ages are 12, 14, and 16.
The oldest child is 16 years old.
The answer is 3/4 hope i help
Answer:
<h3>22.627417</h3>
Step-by-step explanation:
![\frac{32}{ \sqrt[8]{16} } \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B32%7D%7B%20%5Csqrt%5B8%5D%7B16%7D%20%7D%20%20%5C%5C%20)
Simplify
Method 2 :
By rationalizing the denominator
The two transformations for fx and gx would be to shift by 6 units and also go up by 18.
<h3>What is a transformation?</h3>
This is the term that is used in mathematics to describe the manipulation of a line or a shape.
a. The possible transformations that can be gotten here would be to shift to the left by 6 units from what we have in the graph and also shift to the top by 18.
<h3>b. How to solve for K in the transformation</h3>
g of x = f(x - k) then
g(x)= f(x) + k
C. The value of k should be based on the way it changes based on the given points.
Vertically, g(x)=f(x) +18
Horizontally , g(x)=f(x-6)
Read more on transformations here:
brainly.com/question/4289712
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