We have to write
![2^2 =4](https://tex.z-dn.net/?f=%202%5E2%20%3D4%20)
In log form
To convert exponential equation to log equation, we have to use the following rule![If \ a^b = c, \ then \ b=log_{a} c](https://tex.z-dn.net/?f=%20If%20%5C%20a%5Eb%20%3D%20c%2C%20%5C%20then%20%5C%20b%3Dlog_%7Ba%7D%20c%20)
So we will get
![If \ 2^2 =4, \ then \ 2 = log_{2} 4](https://tex.z-dn.net/?f=%20If%20%5C%202%5E2%20%3D4%2C%20%5C%20then%20%5C%202%20%3D%20log_%7B2%7D%204%20)
or
![log_{2}4=2](https://tex.z-dn.net/?f=%20log_%7B2%7D4%3D2%20)
And that's the required log form .
Answer: 4.5 miles
Explanation:
When you draw the situation you find two triangles.
1) Triangle to the east of the helicopter
a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°
b) hypotensue = distance between the high school and the helicopter
c) opposite-leg to angle 20° = heigth of the helicopter
d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x
2) triangle to the west of the helicopter
a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°
b) distance between the helicopter and the elementary school = hypotenuse
c) opposite-leg to angle 62° = height of the helicopter
d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x
3) tangent ratios
a) triangle with the helicpoter and the high school
tan 20° = Height / x ⇒ height = x tan 20°
b) triangle with the helicopter and the elementary school
tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°
c) equal the height from both triangles:
x tan 20° = (5 - x) tan 62°
x tan 20° = 5 tan 62° - x tan 62°
x tan 20° + x tan 62° = 5 tan 62°
x (tan 20° + tan 62°) = 5 tan 62°
⇒ x = 5 tant 62° / ( tan 20° + tan 62°)
⇒ x = 4,19 miles
=> height = x tan 20° = 4,19 tan 20° = 1,525 miles
4) Calculate the hypotenuse of this triangle:
hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²
hipotenuse = 4.46 miles
Rounded to the nearest tenth = 4.5 miles
That is the distance between the helicopter and the high school.
Domain is the value of x
the demonimator cannot be zero
factor the denominator: (x^2-1)(x^2-4)≠0
factor again: (x+1)(x-1)(x+2)(x-2)≠0
x≠1,-1,2,-2
the domain is all real number except 1,-1,2,-2
Answer:
Step-by-step explanation:
The three consecutive integers are 111 113 and 115
I know this is not the answer but how do you add a question