What are two other names for ray CD?

1 answer:

6 0

<span>Naming of rays Rays are commonly named in two ways: By two points. In the figure at the top of the page, the ray would be called AB because starts at point A and passes through B on it's way to infinity. Recall that points are usually labelled with single upper-case (capital) letters. There is a symbol for this which looks like this: AB This is read as "ray AB". The arrow over the two letters indicates it is a ray, and the arrow direction indicates that A is the point where the ray starts. By a single letter. (I have not seen this done.) The ray above would be called simply "q". By convention, this is usually a single lower case (small) letter. This is normally used when the ray does not pass through another labeled point.</span>

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You are given the quadratic function: f(x) = 3x{2} + 4x - 2 Find the value of f(-1)

Varvara68 [4.7K]

Answer:

f(-1) = -3

Step-by-step explanation:

(Assuming {2} is ^2)

f(-1) = 3(-1)² + 4(-1) - 2

= 3(1) - 4 - 2 = -3

7 0

3 years ago

Angle x is a third quadrant angle such that cos x = -1/5.

Yuki888 [10]

Starting from the formula

$\cos^2(x)=\dfrac{1+\cos(2x)}{2}$

We can divide all the angles by 2 and we get

$\cos^2\left(\dfrac{x}{2}\right)=\dfrac{1+\cos(x)}{2}$

And finally

$\cos\left(\dfrac{x}{2}\right)=\pm\sqrt{\dfrac{1+\cos(x)}{2}}$

Angle x is a third quadrant angle, meaning that it is somewhere between 180 and 270. This implies that x/2 lies between 90 and 135. So, x/2 is a second quadrant angle, and its cosine is negative. This means that we can update the previous equation to

$\cos\left(\dfrac{x}{2}\right)=-\sqrt{\dfrac{1+\cos(x)}{2}}$