Which is the slope of a line that is perpendicular to the line represented by the equation x-y = 8
2 answers:
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - y = 8 into this form by subtracting x from both sides
- y = - x + 8 ( multiply through by - 1 )
y = x - 8 ← in slope- intercept form
with slope m = 1
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 1 → D
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probability that the card drawn is:
- an ace or a king = 0.1538
- a king or a diamond = 0.3269
<u>Step-by-step explanation:</u>
Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:
- an ace or a king
A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.
⇒
⇒
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- a king or a diamond
A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.
⇒
⇒
⇒
⇒
Therefore, probability that the card drawn is:
- an ace or a king = 0.1538
- a king or a diamond = 0.3269