It is B because if you use guess and check plug in 0 for all equations and only B matches with the function.
Answer: y=1/x is the blue line and it goes straight up and down the y and x axis.
y=x^2 is the green line which is a thin "u" like shape. its going up the y axis.
y=\frac{x^{3}}{x^{2}-9} is the red line it goes up and down the y axis and diagonally across the middle of both axis'.
Step-by-step explanation: I went to desmos calculator and typed in your equation and it automatically gave me this graph. (See Picture for more details.)
∠C = ∠ D (vertical angles
C= -2x + 90
D= x-30
Since C = D , Then -2x + 90 = x-30
-2x - x = - 30 - 90
-3x = -120
3x = 120 and x = 40°. Now replace x by 40 in any of the equality, say :
D = x-30 ; D = 40 - 30 and D = 10°
Answer: Q=1/2p+15,= p=2q-30= Slope = 1.000/2.000 = 0.500
p-intercept = -30/1 = -30.00000
q-intercept = 30/2 = 15
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p-(2*q-30)=0
Solve p-2q+30 = 0
we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line p-2q+30 = 0 and calculate its properties
Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000
q-intercept = 30/2 = 15
When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000
p-intercept = -30/1 = -30.00000
Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.000/2.000 = 0.500