Answer:
y = 12
Step-by-step explanation:
Use the equation y = kx
Plug in x and y to find k:
2 = k(16)
1/8 = k
Then, plug in 1/8 as k and 96 as x to find y:
y = 1/8(96)
y = 12
Answer:

Step-by-step explanation:
The point P(1,0) and T
are on the unit circle C and the arc length from P to T is x.
Let us assume that point P - x i.e. the point obtained by moving clock wise direction along the circle from P is T'.
Because of the symmetry of the circle about the coordinate axes, the x-coordinate of point T' will be
and the y-coordinate will be
.
So, coordinates of T' are
.
Here we must notice that point T' is the reflection point of T with respect to X-axis. (Answer)
Answer:
16
Step-by-step explanation:
To calculate x we must use the trig function of tangent:
as tangent is opposite divides by adjacent we can get this equation:
which is equal to:
So x must equal to 15.588.. (just put the second bit in the calculator
As all the values provided are integers you round this to the nearest whole number:
16 (as the third digit, 5, rounds up)
so our answer is 16
Answer:
Slope=
and Y intercept=-3
Step-by-step explanation:
-2x + 6y = -18
Simplifying the equation,
6y = 2x - 18
A general line can be written as,
y=mx + c
, m= Slope of the line
c=y intercept of the line
Y intercept is basically the point where the line intersects, the y axis or the line x=0.
Therefore, from the above data m=
and Y intercept= -3.
Answer:
Part A: The 15 in the equations is Allison's allowance while the x is the number of months she gets allowance. The 100 in the equation is Allison's work money from the theater while the y is the number of months she works at the theatre.
Part B: The terms in this equation are 15x and 100y. 15x is her allowance profit and 100y is her work profit. I can tell this because 15 is the amount the makes from allowance and 100 is the amount she makes from work.
Part C: 15x is the term that represents the profit from her allowance.
Step-by-step explanation:
so the amount of allowance she gets is 15 * number of months
and I'm assuming she earns 100 * number of months
to make it more clear it would be better to write this equation as
Profit = 15m + 100m
where m = number of months