So, you would 13 + 9 = which is 22 feet and since the angle is 50 degrees, you would multiply 22 x tan(50) to find the height of the streetlamp:22 x tan(50) = 26.21. So, the streetlamp is about 26 feet tall!Hope this helps!
Loge 70.81 = a
Log to the base e is also written as ln
ln 70.81 = a
Answer:
Option 2
Step-by-step explanation:
6(a)-6(3)=6a-6×3=6(a-3)
X = -2
3 x -2 = -6
-6 -2= -8
|-8| = 8
-2 + 1= -1
|-1|=1
Answer:
Statements 3, 4 and 5 are true.
Step-by-step explanation:
x^2 - 8x + 4
Using the quadratic formula:
x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2
= (8 +/- √(64 - 16)) / 2
= 4 +/- √48 / 2
= 4 +/- 4√3/2
= 4 +/- 2√3.
So the third statement is true.
Converting to vertex form:
x^2 - 8x + 4
= (x - 4)^2 - 16 + 4
= (x - 4)^2 -12
So the extreme value is at (4, -12)
So the fourth statement is true.
The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.
