Answer:
Step-by-step explanation:
This website may be able to help you, I used to use it back in high school! :)
https://www.symbolab.com
Answer:
-11
Step-by-step explanation:
-8 = 3 + t
-8 - 3 = t
-11 = t
Hope this helps :)
Given: Different points and an angles as found in the image
To Determine: The correct name of the angle shown
Solution
An angle is formed when two lines meet at a point. This is as shown below
Let us apply the above to the given image
The angle formed is shown by the red arc.
Hence, the correct name of the angle shown is ∠
Sin³ x-sin x=cos ² x
we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:
sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0
sin³x=z
z³+z²-z-1=0
we divide by Ruffini method:
1 1 -1 -1
1 1 2 1 z=1
-------------------------------------
1 2 1 0
-1 -1 -1 z=-1
--------------------------------------
1 1 0 z=-1
Therefore; the solutions are z=-1 and z=1
The solutions are:
if z=-1, then
sin x=-1 ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z
if z=1, then
sin x=1 ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z
π/2 + 2kπ U π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)
Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
My answer-
Simplifying
5x + -14 = 8x + 4 Reorder the terms:
-14 + 5x = 8x + 4
Reorder the terms:
-14 + 5x = 4 + 8x Solving
-14 + 5x = 4 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
-14 + 5x + -8x = 4 + 8x + -8x
Combine like terms: 5x + -8x = -3x
-14 + -3x = 4 + 8x + -8x
Combine like terms: 8x + -8x = 0
-14 + -3x = 4 + 0
-14 + -3x = 4
Add '14' to each side of the equation.
-14 + 14 + -3x = 4 + 14
Combine like terms: -14 + 14 = 0
0 + -3x = 4 + 14
-3x = 4 + 14 Combine like terms: 4 + 14 = 18
-3x = 18 <span>
Divide each side by '-3'.
x = -6
Simplifying
x = -6
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