Answer:
y=-1/2x+3/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-1)/(5-1)
m=-2/4
m=-1/2
y-y1=m(x-x1)
y-1=-1/2(x-1)
y=-1/2x+1/2+1
y=-1/2x+1/2+2/2
y=-1/2x+3/2
Answer:
The correct answer is: Option D) 5
Step-by-step explanation:
Given equation is:

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.
Putting x = 2

Putting x = 3

Putting x=4

Putting x = 5

The equation is true for x = 5
Hence,
The correct answer is: Option D) 5
Answer:
Step-by-step explanation:
If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...
Anyways, the half angle identity for tangent is

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.
If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:
which simplifies a bit to
and a bit more to

Bring up the lower fraction and flip it to divide to get
which of course simplifies to
-3. Choice A.
Hello!
Find the coordinate where x = -1:
At x = -1, y = 1, so the coordinate is (-1, 1).
Find the coordinate where x = 2:
At x = 2, y = -2, so the coordinate is (2, -2).
Find the rate of change between the points using the slope formula:

Plug in the coordinates above:

Simplify:
Thus, the rate of change between the points is -1.
Answer:
B
Step-by-step explanation: