Answer:
n = - 1
Step-by-step explanation:
Given
- 8n + 4(1 + 5n) = - 6n - 14 ← distribute and simplify left side
- 8n + 4 + 20n = - 6n - 14
12n + 4 = - 6n - 14 ( add 6n to both sides )
18n + 4 = - 14 ( subtract 4 from both sides )
18n = - 18 ( divide both sides by 18 )
n = - 1
<h2><u>EQUATIONS</u></h2>
We'll solve this equation:
<h3>5x + 17 = 4(3x - 1)</h3>
First, let's apply the distributive property:
5x + 17 = 4(3x - 1)
5x + 17 = 12x - 4
Now, add 4 to both sides of the equation:
5x + 17 = 12x - 4
5x + 17 + 4 = 12x - 4 + 4
5x + 21 = 12x
Substract 5x from both sides:
5x + 21 = 12x
5x - 5x + 21 = 12x - 5x
21 = 12x - 5x
21 = 7x
Now, divide both sides by 7
21 ÷ 7 = 7x ÷ 7
<h3> 3 = x</h3>
Therefore, x = 3.
<h3>B. The equation has one solution.</h3>
For this case what we must do is use the cosine theorem to solve the problem.
We have then:

Where,
a, b, c: are the sides of the triangle.
x: is the angle between the sides a and b of the triangle.
Substituting values we have:

Clearing c we have:
Answer:
option 1
Answer:
Hypotenuse
Step-by-step explanation:
We have the Pythagorean Theorem.
In simple terms, the Pythagorean Theorem can be explained by one equation.

a and b being the legs while c being the hypotenuse.
Looking at the sentence, we can see that hypotenuse is our answer.