Step-by-step explanation:
To prove :
( 1 - sin x ) ( 1 + sin x ) = sec² x
LHS : -
( 1 - sin x ) ( 1 + sin x )
Formula / Identity : -
( a - b ) ( a + b ) = a² - b²
Here,
a = 1
b = sin x
( 1 - sin x ) ( 1 + sin x )
= 1 - sin² x
Identify : -
sin² θ + cos² θ = 1
cos² θ = 1 - sin² θ
Similarly,
1 - sin² x
= cos² x
= RHS
Hence verified.
First they have to decide on a pair of pants and they have 8 different choices. For each of those choices they have a choice of 5 different shirts, so that gives them 8 times 5 = 40 different pant/shirt combinations. For each those 40 possibilities, they have 3 different ties they could select, so altogether they have 40 times 3 = 120 different outfits.
You didn't supply a list. The so-called rigid transformations of translation, rotation and reflection create congruent triangles.
Generally it's dilation by a factor about a point is preserves similarity but not congruency. Any transformation which includes such scalings but is otherwise rigid also preserves similarity but not congruency.
Answer:
y = 2 x minus 6
Step-by-step explanation:
(-6,-18) and (-1,-8)
Slope: (-8 - -18)/(-1 - -6)
10/5
2
y = 2x + c
-8 = 2(-1) + c
-8 = -2 + c
c = -6
y = 2x - 6
y = 2x - 4
Answer:
3
Step-by-step explanation:
area = l^2 = 9
so,l = 
= 3
