If the ant is 30 feet from the base of the tree, what is the height of the tree, to the nearest tenth
1 answer:
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Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value or the y-intercept
b is the base of the exponential function
If b>1 then is a exponential growth function
If b<1 then is a exponential decay function
In this problem
The y-intercept is equal to
For x=0
The y-intercept is the point (0,1)
so
The value of b is greater than 1
so
Is a growth function
To plot the graph create a table with different values of x and y
For x=-1
f(x)=2^-1=0.5
point (-1,0.5)
For x=1
point (1,2)
For x=2
point (2,4)
For x=3
point (3,8)
For x=4
f(x)=2^4=16
point (4,16)
Plot the y-intercept and the other points and connect them to graph the exponential function
Note that as x increases the value of y increases (exponential growth function)
The graph in the attached figure
Answer:
Step-by-step explanation:
In the given image, you can observe we have two right triangles.
Also, we know by given that those triangles are similar, which means their sides are proportional and their angles are congruent.
If the triangles are similar, we can define the following proportion between sides.
Now we use the Pythagorean's Theorem to find each hypothenuse.
Therefore, the missing sides are