Answer:
the sine of the angle of one corner equals the opposite side divided by the hypotenuse.
the cosine of the angle of one corner equals the adjacent side divided by the hypotenuse.
the tangent of the angle of one corner equals the opposite side divided by the adjacent side.
By definition the rate of change of a function is given by:

Or equivalently:

Substituting the values given in the problem we have:

Rewriting we have:
Answer:
the rate of change of the ramp is:
Answer:
Step-by-step explanation:
In order to do this we need to isolate y by performing the inverse operations on the other values like so...
a) 10x + 5y = 20 ... subtract 10x on both sides
5y = 20 - 10x ... divide both sides by 5
y = 4 - 2x ... we can move the 2x to the right to make it into y = mx + b
y = -2x + 4
b) 3x - 2y = 10 + 4x ... subtract 3x on both sides
-2y = 10 + x ... divide both sides by -2
y = -5 - 0.5x ... move -0.5 to the left so it matches y = mx + b
y = -0.5x - 5
Answer:
-2.5 = x
Step-by-step explanation:
-10 = 4x
the equation between 4 and x is multiplication
as our goal is to move the x on its separate side, we should divide each side by 4 to get rid of the bond between the 4 and the x
Therefore,
-10 = 4x
-10/4 = x
Simplify into decimal if needed
-2.5 = x
Hope that helped!!! k
Product is multiplication:
x * (x+2) = 201
x^2 +2x = 120
x^2 + 2x -120 = 0
(x+12) (x-10) = 0
x = -12 and x = 10
-12 x -1 = 12
the 2 numbers are 10 and 12