I'll do Problem 8 to get you started
a = 4 and c = 7 are the two given sides
Use these values in the pythagorean theorem to find side b

With respect to reference angle A, we have:
- opposite side = a = 4
- adjacent side = b =

- hypotenuse = c = 7
Now let's compute the 6 trig ratios for the angle A.
We'll start with the sine ratio which is opposite over hypotenuse.

Then cosine which is adjacent over hypotenuse

Tangent is the ratio of opposite over adjacent

Rationalizing the denominator may be optional, so I would ask your teacher for clarification.
So far we've taken care of 3 trig functions. The remaining 3 are reciprocals of the ones mentioned so far.
- cosecant, abbreviated as csc, is the reciprocal of sine
- secant, abbreviated as sec, is the reciprocal of cosine
- cotangent, abbreviated as cot, is the reciprocal of tangent
So we'll flip the fraction of each like so:

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Summary:
The missing side is 
The 6 trig functions have these results

Rationalizing the denominator may be optional, but I would ask your teacher to be sure.
The equation of the parallel line is y = –2x – 11.
Solution:
Given equation of the line is y = –2x – 5.
Slope of this line is
= –2
To write the equation parallel to this line and passes through (–4, –3).
<em>If two lines are parallel, then they have the same slope.</em>


<u>Point-slope formula:</u>

Substitute the given values in the formula, we get



Subtract 3 from both sides of the equation.


Hence the equation of the parallel line is y = –2x – 11.
Answer: y/x = 1
Step-by-step explanation:
It was on quizlet
Answer:
D=
Step-by-step explanation:
Here we are required to find the distance between two coordinates. We will use the distance formula to find the distance
The distance formula is given as

Here we are given two coordinates as

Substituting these values in the Distance formula given above we get



Hence this is our answer