Answer:
9514 1404 393
Step-by-step explanation:
k = 2
The point (0, 0) on the graph of f(x) tells you f (0) = 0.
The point (-4, 0) on the graph of g(x) tells you g (-2) = 0.
Now we know that
g(-2) = 0 = f(0) = f(-2+k)
or ...
0 = -2+k
2 = k
The value of k is 2
so the answer to you problem is k=2
Answer:
children = 67
Step-by-step explanation:
two equations can be derived from this question
x + y = 85 equation 1
3x + y = 121 equation 2
where x = number of adults
y = number of children
subtract equation 1 from 2
2x = 36
x = 18
substitute for x in equation 1
y = 85 - 18 = 67
Answer:
1303.45 cm
Step-by-step explanation:
The triangles formed by a rod and its shadow and a tree and its shadow are similar triangles, so the ratios of their heights to the lengths of their shadows are equal.
Let x be the height of the tree. Setting the ratios equal, we get:
180/116 = x/840
Solve for x:
x = 840 * (180/116)
x ≈ 1303.45 cm
Yes because the closet organizer isn't as wide as the closet itself.
Answer:
Step-by-step explanation:
To find the area of a semicircle the formula is

The square

(rectangle)
(triangle)