Answer:
Step-by-step explanation:
Slope Formula: 
Simply plug in 2 coordinates into the slope formula to find slope <em>m</em>:
Probability is expressed as
number of favorable outcomes/number of total outcomes
The number of cards in a deck is 52(total outcomes)
Recall, there is only 1 five of clubs in a deck of cards(favorable outcomes)
Thus, the probability that the card is a five AND a club is 1/52
Using Pythagoras in the first question
c=
which is approximately 16.5
for the second question
we also use Pythagoras
Answer:
4x - y = -5
Step-by-step explanation:
The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).
4x - y = 14 becomes 4x - y = C
Now substitutte -2 for x, -3 for y and calculate C:
4(-2) - (-3) = C, or
-8 + 3 = C = - 5
Thus, the new equation is 4x - y = -5
