the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
so let's get two points from each table to get their slope or rate
for function A hmmm (2 , -5) and (6 , -2), and for function B hmmm (-5, -46) and (7 , -30)
21) 3(X+1) =9+2X
3X+3 = 9+2X
X+3=9
X=6
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula
Answer:
csc theta = 5/4
Step-by-step explanation:
cos theta = 3/5
cos theta = adjacent side/ hypotenuse
Let adjacent side = 3 and the hypotenuse = 5
csc theta = hypotenuse/ opposite side
We need to find the opposite side
We know that this is a right triangle, so we can use the Pythagorean theorem
(adj)^2 + (opp)^2 = (hyp)^2
3^2 + (opp)^2 = 5^2
9+ (opp)^2 = 25
Subtract 9 from each side
9-9+ (opp)^2 = 25-9
(opp)^2 = 16
Take the square root of each side
sqrt( (opp)^2) = sqrt(16)
opp = 4
csc theta = hypotenuse/ opposite side = 5/4