Answer:
Slope = 2/3
Step-by-step explanation:
Slope = Change over y (rise) over change over x (run)
Pick two dot points on the line
Count how many units over they are until you get to the next dot, then count how many units up until you reach the next dot
Remember: Y runs vertically, X runs horizontally
Put the unit number that ran vertically on the top, then put the unit number that runs horizontally on the bottom
If needed simplify
The slope is 2/3
y=(1/3)x-2
Step-by-step explanation:
the slope-intercept form is y-y1=m(x-x1)
hence, y-0=1/3(x-6) or y=(1/3)x-2
Answer:
x = 10 or x = 2
Step-by-step explanation:
Solve for x:
x^2 - 12 x + 20 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 20 from both sides:
x^2 - 12 x = -20
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 36 to both sides:
x^2 - 12 x + 36 = 16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 6)^2 = 16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 6 = 4 or x - 6 = -4
Hint: | Look at the first equation: Solve for x.
Add 6 to both sides:
x = 10 or x - 6 = -4
Hint: | Look at the second equation: Solve for x.
Add 6 to both sides:
Answer: x = 10 or x = 2
Answer:
x = -10/13
Step-by-step explanation:
10x + 7 = -3x - 3
Add 3x to both sides
10x + 3x + 7 = -3x + 3x - 3
13x + 7 = 0x - 3
13x + 7 = -3
Subtract 7 from both sides
13x + 7 - 7 = -3 - 7
13x + 0 = -10
13x = -10
Divide both sides by 13
13x ÷ 13 = -10 ÷ 13
1x = -10/13
x = -10/13
Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x = 
and the exact value sin30° = 
sin(- 30)° = - sin30° = - , thus
csc (- 30)° = 
= - 2
