Answer:
Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?
The car is faster
Find the unit rates
The car is going 30 feet in 1 second(600 divide by 20 = 30)
The motorcycle is gonig 25 feet in 1 second(300 divide by 12 = 25)
Compare the unit rates
30 > 25
Step-by-step explanation:
Answer:
(5, 21)
Step-by-step explanation:
The x-coordinate of the midpoint of a segment is half of the sum of the x-coordinates of the endpoints.
The y-coordinate of the midpoint of a segment is half of the sum of the y-coordinates of the endpoints.
Let the unknown point have coordinates (x, y).
x-coordinate:
(5 + x)/2 = 5
5 + x = 10
x = 5
y-coordinate:
(-1 + y)/2 = 10
-1 + y = 20
y = 21
The other endpoint has coordinates (5, 21).
(8 + √11)(8 - √11)
8^2 - √11^2
64 - √11^2
64 - 11
53
The answer is: 53.
4z+2(z-4)=3z+11 perform indicated multiplication on left side
4z+2z-8=3z+11 combine like terms on left side
6z/-8=3z+11 add 8 to both sides
6z=3z+19 subtract 3z from both sides
3z=19 divide both sides by 3
z=19/3
z=6 1/3
So there is only one solution when z=6 1/3
Direct variation:-
y = kx where k is a constant
y=12 when x=6 so we have:-
12 = k*6
k = 12/6 = 2
so our equation of variation is y = 2x Answer
