Answer:
When graphed, the function will have a y-intercept at
(0,-21)
and a vertex at
(2,-25)
Step-by-step explanation:
Answer:
y = -x + 21
Step-by-step explanation:
Equations that are perpendicular don't normally have the same slope as the original equation..
When you graph the given equation and the point, we can see that in order to make an equation that would cross through (9,12) and the line, we would need an equation with a negative slope.
**Using desmos (online graphing calculator)
If we continue to plug in numbers for our slope, we see that the equation
y = -x + 21 goes through point (9,12) and is perpendicular (intersecting or crossing through) line y = x + 1.
We can check our work by plugging in the coordinates of the point 9, 12 into our equations to see if they equal the same values..
y = -x + 21 --> 12 = -9 + 21 --> 12 = 21 - 9 --> 12 = 12 (correct)
Answer:
Jonas has 21.
Step-by-step explanation:
19+2= 21
Since he has 19 more than what the other person has, which is 2.
Answer:
0
Step-by-step explanation:
If you think in degrees easier than in radians, then make this conversion.
pi = 180 degrees
(3/2)*pi = (3/2) * 180 = 180 * 3/2 = 270
Sin(270) = -1
cos(270) = 0
==========
sin(270) * cos(270) = -1 * 0 = 0
Answer:

Step-by-step explanation:
The parametrization of an ellipse center at origin and counter-clockwise is given by the formulas:

Where “a” is the radius of the major axis along the x-axis and “b” is the radius of the minor axis along the y-axis. Since the major diameter along the x-axis is 14 then its radius is its half, thus a=7. Similarly, since the minor diameter along the y-axis is 10, then its radius is half of it, thus b=5
Therefore, the parametric equations for the ellipse become:

Notice at t=0 we get:

which satisfies that the parametrization at t=0 makes the point (7,0)