Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( 
)sin (
)
sin x - sin y = 2cos ( )sin ( )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin(
)sin(
) ]² + [ 2cos( )sin( ) ]²
= 4sin² ( )sin² ( ) + 4cos² ( )sin² ( )
= 4sin² ( )[ sin² ( ) + cos² ( ) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven
Y=(-x*x)-4x+3
y=-(x^2+4x-3)
4+y=-(x^2+4x+4)+3
y+4=-(x-2)^2.) +3
-4. -4
y=-((x-2)^2)-1
Answers:
Vertex: (2,-1)
AOS:x = 2
Domain: All Real Numbers
Range:[-1,Infinity)
Answer:
Step-by-step explanation:
2q + 2p = 1 + 5q
-3q + 2p = 1
-3q = 1 - 2p
3q = 2p - 1
q = (2p -1)/3
Step-by-step explanation:
4x-1
x+-×+1=5
×-5
there are no terms like that
Answer
P = 147 million
Step by step explanation
P = Po r^t -------------(1)
Po initial population, r = rate, t = number of years
Here P = 139, Po = 134, t = 10.
Now plug in these values into the formula and find the rate r.
139 = 134r^10
r^10 = 139/134
r = (139/134)^1/10
Now we got r, now plug in the equation (1)
Let's find the population in the year 2014, here t = 24
P = 134 (139/134)^(24/10)
P = 134(139/134)^(2.4)
P = 134*1.1
P = 147.4
P = 147 million
The country's population in 2014 is 147 million (estimation).
Thank you.
