Answer:
y = -5.5
Step-by-step explanation:
The only lines that have a slope of 0 are horizontal lines. Horizontal lines are always in the form y = c where c is a constant. Basically, on a horizontal line, no matter what x is, y will always be the constant c. Therefore, the x coordinate of our given point does not matter and we only have to look a the y-coordinate, which is -5.5. Therefore, the equation is y = -5.5.
Answer:
y = x - 8
Step-by-step explanation:
In order to solve this, we need to use point-slope form.:
y - y1 = m(x - x1)
Substitute the numbers into the equation:
y - (-8) = 1(x - 0)
y + 8 = x
y = x - 8
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x -
x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified
5x + 8 - 3x = 10
First you can combine the like terms.
5x - 3x + 8 = 10
2x + 8 = 10
- 8 - 8
2x = 2

x=1