Answer: (-2, -2) minimum
Step-by-step explanation: since the graph is going upwards and the arch of the graph is the lowest point in the graph, it will be a minimum point. to find this minimum point, look at what point the lowest point of the graph (for this graph, it is (-2, -2) )
Answer:
3x
Step-by-step explanation:
x+x+x
=3x
if i am wrong than sorry
Answer:
X=135 degrees
Step-by-step explanation:
the total interior angle of a triangle is 180.
To work this out you would first add the interior angles of B which is 69 and the interior angle of C which is 66, which gives you 135.
The next step is to minus 135 from 180, which gives you 45. This is because the total interior angle of a triangle is 180.
Then to work out the angle of x you would minus 45 from `180, which gives you 135. This is because the total angle in a straight line is 180 degrees.
1) Add the angles of 69 and 66.

2) Minus 135 from 180.

3) Minus 180 from 45.

Answer:
see explanation
Step-by-step explanation:
(4)
consider the left side
factor the numerator
cosx - cos³x = cosx(1 - cos²x)
![\frac{cosx(1-cos^2x)}{sinx}[/tex = [tex]\frac{cosxsin^2x}{sinx}](https://tex.z-dn.net/?f=%5Cfrac%7Bcosx%281-cos%5E2x%29%7D%7Bsinx%7D%5B%2Ftex%20%3D%20%5Btex%5D%5Cfrac%7Bcosxsin%5E2x%7D%7Bsinx%7D)
cancel sinx on numerator/denominator
= cosxsinx =right side ⇒ verified
(5)
Consider the left side
expand the factors
(1 + cotΘ)² + (1 - cotΘ)²
= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ
= 2 + 2cot²Θ
= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ
= 2cosec²Θ = right side ⇒ verified
(6)
Consider the left side
the denominator simplifies to
cosxtanx = cosx ×
= sinx

= sinx(
+
)
=
+ 
= tanx + 1 = right side ⇒ verified
Formula to find the arc length is:

Where, s= arc length,
r = radius of the circle
\theta = central angle in degrees.
According to the given problem, \theta= 150 and r =2.4.
So, first step is to plug in these values in the above formula to get the arc length.

=


So, arc length is
.