Find the equation of the first line using the two given points: (1,-1) (-1,-5)
Slope = change in Y over change in x:
Slope = (-5-(-1)) / (-1-(1) = -4/-2 = 2
Now find y intercept: y - y1 = m(x-x1) = y -(-1) = 2(x-1)
Simplify to get y = 2x-3
Now a perpendicular line has a opposite reciprocal slope.
The perpendicular line would be y = -1/2x - 3
You are told the y intercept is -4 units greater, so add -4 to -3 to get -7
The answer would be A. y = -1/2x-7
Answer:
The correct answer is 0.05882.
Step-by-step explanation:
A deck of cards have 52 cards, 13 cards of each suit.
We are drawing two cards without replacement.
We need to find the probability of getting a diamond as the first card.
Favorable outcomes are 13 and total number of outcomes are 52.
Thus this probability is
.
Now for the next draw we again want to pick a diamond card.
Favorable outcomes are 12 and total number of leftover cards are 51.
Thus this probability is
.
Now the probability that both cards are diamonds is
×
=
= 0.0588235 ≈ 0.05882
Answer:
0.75 oz
Step-by-step explanation:
8 cats divided by 6-oz cans=0.75 oz each
Answer:
20
Step-by-step explanation:
20 is the GCF or greatest common factor of 20 and 100.