Notice they are all right triangles. You will need Pythagorean theorem, which is a² + b² = c²
If you write down all the "equations" you can find, it is the following:
y² + 4² = x²
5² + y² = z²
x² + z² = 9²
Substitute them into one equation:
y² = x² - 4²
z² = 5² + (x² - 4²) <em>Notice that the y² is replaced with what you found </em><em>above</em>
x² + (5² + x² - 4²) = 9² <em>Notice that the z² is replaced with what's </em><em>above</em>
Now that it is just one line with one variable, you should be able to find value of x easily.
The answer is 6 if my calculations are correct.
Answer:
b
Step-by-step explanation:
Answer: 2/3 or .667
Step-by-step explanation:
First, it is important to understand that any equation that is x=some number is just a vertical line that hits the x-axis at the given number. For example, x=-2 would be a vertical line hitting the x-axis at -2. Therefore, the line we are trying to identify would also be vertical (and have the form x=some number) because we know the lines are parallel. Then, since we're given the point (-5,4), we know the line needs to hit the x-axis at -5, therefore the equation would be x=-5.
I hope this helps.
Answer:
- i
Step-by-step explanation:
Given
Multiply numerator/ denominator by the conjugate of the denominator.
The conjugate of 6 + i is 6 - i, thus
= ← expand numerator/ denominator using FOIL
= → substitute i² = - 1
=
=
= - i