"How can we bridge this river?" asks Omkar. "First, let's find the distance to the big rock on the other side," Melissa replies. Melissa moves
100
100100 meters away, as shown. She looks back and measures a
33
°
33°33, degree angle between Omkar and the big rock.
From his viewpoint, Omkar sees an angle of
98
°
98°98, degree between Melissa and the big rock.

100
m
100 m
3
3
∘
33
∘

9
8
∘
98
∘

?
?OmkarMelissaBig rock
What is the distance across the river from Omkar to the big rock?
Do not round during your calculations. Round your final answer to the nearest meter.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64

its 50 miles away from the starting point

explanation:

step-by-step explanation: