Ok so it is a standard deck of 52 cards. Theres 4 suites: Hearts, Spades, Clubs and Diamonds.
In each suite there is 13 cards: Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, and 2. The probability of you choosing 5 hearts is most likely to be 5/52.
<h3>Answer: The lines are perpendicular</h3>
=================================================
Work Shown:
Use the slope formula to find the slope of the line through the two given points.
m = (y2 - y1)/(x2 - x1)
m = (-4 - (-5))/(6 - (-7))
m = (-4 + 5)/(6 + 7)
m = 1/13
The slope of the line through the two given points is 1/13.
This is not equal to -13, which was the slope of the first line, so the two lines are not parallel.
However, the two lines are perpendicular because multiplying the two slope values leads to -1
(slope1)*(slope2) = (-13)*(1/13) = -1
note: It might help to think of -13 as -13/1 to help multiply the fractions.
Do a proportion
40/100= 8/x
8 x 100= 800
Cross multiply and divide
800 divided by 40= 20
So answer is 20
The standard for is Y=-5/3x +3