Answer:
360 elk are likely to be infected.
For this case we have the following table:
X F(x)
-1 -11
0 -1
1 9
From here, we look for the function f (x).
We then have that as the equation is linear:

Where,

We choose an ordered pair:

Substituting values:

Rewriting:

Thus, the function f (x) is:

On the other hand, the function g (x) is:
Answer:
The slope of f (x) is greater than the slope of g (x) (10> 5)
The intersection with the y axis of g (x) is greater than the intersection with the y axis of f (x) (1> -1)
Answer:
a = 8
b = 4√5
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
short side/long side = a/16 = 4/a
a² = 64 . . . . . . multiply by 16a
a = 8 . . . . . . take the square root
__
hypotenuse/short side = b/4 = 20/b
b² = 80 . . . . . . . multiply by 4b
b = 4√5 . . . . . take the square root
_____
<em>Additional comment</em>
These relations for the right triangle can be summarized by the rule "the length of a segment that touches the hypotenuse is the geometric mean of the two hypotenuse segments it touches." In the case of b, that means ...
b = √((4)(4+16)) = 4√5
The same sort of relation applies to the unmarked vertical segment on the left:
c = √((16)(16+4)) = 8√5
And, we saw ...
a = √((4)(16)) = 8
Of course, if this rule is to make sense, you need to know that the geometric mean of two numbers is the square root of their product. (In general, the geometric mean of n numbers is the n-th root of their product.)
Answer:
Step-by-step explanation:
side of square=10+10+20=40 m
area of square=40×40=1600 m²
area of small square=π10²=100 π m²
area of bigger semi circle=1/2 ×π×20²=200 π m²
reqd. area of shaded region=1600-(100π+200π)=1600-300π m²
≈1600-300×3.14
≈1600-942
≈658 m²