Answer:
LHS.= Sin 2x /( 1 + cos2x )
We have , sin 2x = 2 sinx•cosx
And. cos2x = 2cos^2 x - 1
i.e . 1+ cosx 2x = 2cos^2x
Putting the above results in the LHSwe get,
Sin2x/ ( 1+ cos2x ) =2 sinx•cosx/2cos^2x
=sinx / cosx
= Tanx
.•. sin2x/(1 + cos2x)= tanx
Step-by-step explanation:
Answer:
x= -2
Step-by-step explanation:
-3x+6x+3=x-1
3x-x= -1-3
2x= -4
x= -2
Answer:
SA = 105 in^2
Step-by-step explanation:
To find surface area, find the area of all the shapes and add it all together. This shape has 4 triangle faces. They are all the same. So we can find one of them and times by 4.
Area of a triangle:
A = 1/2b•h
= 1/2• 5 • 8
= 1/2 • 40
= 20
One triangle has area 20, so times by 4 (bc four triangles)
4•20
= 80
Area of square 5•5
= 25
Add the areas:
80 + 25
= 105 sq in
Answer:
27, 29, 31, 33
Step-by-step explanation:
Let x represent the smallest odd integer then...
x+2 represents the second
x+4 represents the third
x+6 represents the fourth
We can use this to set up an equation:
x+x+2+x+4+x+6=120
Combine like terms
4x+12=120
Subtract 12 from both sides
4x=108
Divide both sides by 2
x=27
The integers are 27, 29, 31, 33
Answer:
the vertex is (1,-1)
Step-by-step explanation:
y = −3x^2 + 6x − 4
the vertex is at
h= -b/2a where ax^2 +bx+c
h= -6/2(-3)
h= -6/-6
h=1
substitute this in to find the y value
y = -3(1)^2 +6(1)-4
y = -3+6-4
y = -1
the vertex is (1,-1)