Infinite they’re all multiples, so they are the same line
Step-by-step explanation:
The slope of the given line is -3. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line we need to find is 1/3.
Substituting into point slope form, we get:
y + 6 = ⅓(x+6)
You have to pick at least one even factor from the set to make an even product.
There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.
For example, if we pick out 1 even number and 2 odd numbers, this can be done in

ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in

way.
The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.

where we use the binomial identity

Answer:
D
Step-by-step explanation:
To convert from polar to rectangular form
• x = rcosΘ , y = rsinΘ
• r =
⇒ r² = x² + y²
Given
r = 8cosΘ
r = 8 ×
( multiply both sides by r )
r² = 8x, hence
x² + y² = 8x ⇒ D
Answer:
Step-by-step explanation:
We can solve this with the help of Pythagoras theorem.
- => (√50)² = x² + x²
- => √50 x √50 = x² + x²
- => 50 = 2x²
- => 25 = x²
- => x = 5
Hence, the value of x is 5 units.