Answer:
y = - 2x - 13
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 )
y = - 2x - 5 ← is in slope- intercept form
with slope m = - 2
Parallel lines have equal slopes, thus
y = - 2x + c ← is the partial equation
To find c substitute (- 4, - 5) into the partial equation
- 5 = 8 + c ⇒ c = - 5 - 8 = - 13
y = - 2x - 13 ← equation of parallel line
Solving for x
x=3/8m-5/4,m
Solving for m
m=10/3+8/3x,x
Answer:
Penguins can swim at a speed of 19.77 miles per hour.
Step-by-step explanation:
Since penguins can swim at speeds of up to 29 feet per second, to convert this speed to miles per hour, knowing that 1 mile is equal to 5280 feet, the following calculation must be performed:
1 hour = 60 minutes
1 minute = 60 seconds
1 hour = 60x60 seconds = 3,600 seconds
29 x 3,600 = feet per hour = 104,400
104,400 / 5,280 = miles per hour = 19.77
Thus, penguins can swim at a speed of 19.77 miles per hour.
