The graph below shows two functions f(x) and g(x) such that g(x) = f(x) +k
Enter the value of kin the box below.
k=

The value of k is 7

Step-by-step explanation:

The image shows the graph of g(x) and f(x). g(x) is shifted up f(x) by a number k such that:

g(x) = f(x) +k

To know the value of k, we select a value for x and calculate the value of k.

For example, for x=0, f(0)=-6, g(0)=1, and:

g(0) = f(0) +k

1 = -6 +k

k = 7

We can select any other value for x which g and f values can be clearly seen. For example, for x=-5, f(-5)=0, g(-5)=7, thus:

g(-5) = f(-5) +k

7 = 0 +k

k = 7

The value of k is 7

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

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