Slope intercept form is: y=mx+b
For the other line to be parallel they must have the same slope so:
y=5x+b, using the point (4,5) we can solve for the y-intercept, or "b"
5=5(4)+b
5=20+b
b=-15 so the line is:
y=5x-15
We are given the two sides of the right triangle therefore we can use the pythagorean theorem to solve for the third side. This theorem states that, in a right triangle the square of the hypotenuse is equal to the sum of the square of each leg.
c² = a² + b²
70² = 35² + b²
b = √70² - 35²
b = 60.62 feet
Answer:
8 / 17
Step-by-step explanation:
So cosine is adjacent ÷ hypotenuse.
Adjacent = 8
Hypotenuse = 17
8 / 17
<h3>
Answer: 3 socks</h3>
Reason:
You could get lucky to pull out 2 blue socks or 2 black socks in a row. But you could also get unlucky to have 1 blue + 1 black, or the other way around.
That third sock selected will guarantee you picked at least 2 of the same color. This is simply because there aren't any other colors left to pick from.
For more information, check out the Pigeonhole Principle.
