Answer:
(1,3)
Step-by-step explanation:
2x-2=4x-y-1
subtract 2x on both sides
-2=2x-y-1
add y on both sides
y-2=2x-1
add 2 on both sides
y=2x+1
now we can just kinda plug and check.
if you plug in 1, you get 3, so A
Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).
By using the trigonometric identities below :
sin2x=2sinxcosx
cos2x=cos^2x-sin^2x
We substitute the trigonometric identities into (1).
2sin^2x+2sinxcosx+cos^2x-sin^2x=0
By combining like terms .
sin^2x+2sinxcosx+cos^2x=0.....(2)
The equation (2) is equivalent to the following expression (3).
(sinx+cosx)(sinx+cosx)=0 .....(3).
sinx+cosx=0
cosx=-sinx
divide both sides by cosx
1=-sinx/cosx
-1=sinx/cosx
sinx/cosx=tanx
substitute
-1=tanx
tanx=-1
tangent is negative in 2nd and 4th quadrants
tan135º=-1 (one answer)
tan315º=-1 (second answer)
Step-by-step explanation:
Please refer to the trigonometric identities used and explained above .
The answer to your problem is A due to the slope of your line being -1/3x.
You can find this slope by picking two points on your graph [i.e. (-1,3) and (0,0)].
Find the difference between the two points, which is a one for the x value and a three for the y values. Now you have a slope of 1/3.
But wait! The slope is downwards, therefore a negative must be applied to your slope.
This provides you with a slope of -1/3x, therefore:
y = -1/3x
Surface Area of a cylinder 2(π•r²)+(2π•r)•h
So
If the diameter is 8 then the radius is 4. the height is 5.
so you have, 2(3.14•4²)+(2•3.14•4)•5
solve. PEMDAS
Parentheses & Exponents first.
2(3.14•16)+(2•3.14•4)•5
2(50.24)+(6.28•4)•5
2(50.24)+(25.12)•5
Multiplication & Division second (left to right)
100.48+125.6
Add & Subtract (left to right)
226.08cm