Just plug in a calculator 336/7 and you should get a non decimal answer.
A ___line___ is the set of all points that are equidistant from two points.
A ___circle___ is the set of all points that are equidistant from a given point. The given point is called the ____center____. The segment showing the distance is called the ____radius____.
A ___parabola____ is the set of all points equidistant from a single point and a single line. The single point is called the ____focus____ and the single line is called the ____directix_____.
Answer:
1. 3√6 + 10
2. 35 + 7√50
3. 24√2 - 20√6 + 15√3 - 18
4. 17√6 - 38
5. 13√10 - 42
Step-by-step explanation:
The questions are in surd form.
1. (2√2 + √3)(2√3 - √2)
open the parenthesis by multiplying both together .
4√6 + 4 + 6 - √6
3√6 + 10
2. (√5 + 2√10)(3√5 + √10)
15 + √50 + 6√50 + 20
35 + 7√50
3. (4√6 - 3√3)(2√3 - 5)
8√18 - 20√6 - 18 + 15√3
8√9 × 2 - 20√6 - 18 + 15√3
24√2 - 20√6 + 15√3 - 18
4. (6√3 - 5√2)(2√2 - √3)
12√6 - 18 - 20 + 5√6
17√6 - 38
5 (√10 - 3)(4 - 3√10)
4√10 - 30 - 12 + 9√10
13√10 - 42
Answer:
See below.
Step-by-step explanation:
So we have the two functions:

And we want to find:

1)
Recall that:

is the same as:

Thus, we can substitute g(x):

And substitute that into f(x):

Distribute:

Subtract and simplify:

Thus:

2)
Similarly:

Substitute f(x):

Substitute:

Distribute:

Simplify:

Therefore:
