You're already given the slope, so the first step you must take is to find the y-intercept. To do this, you substitute the values of the coordinate M into y = 5x + c, with the x value substituting x and the y value substituting y. This gives us:
2 = (5 × 1) + c
2 = 5 + c
- 5
-3 = c
So now you know that the y-intercept is -3, you can see that your final answer must be the first option, y = 5x - 3.
I hope this helps!
<span>Let m = speed of motorboat
and c = speed of current
.
When going downstream, current speed is added to boat speed -- and, the total speed is "8 miles downstream in 20 minutes"
.
To convert to "miles per hour" we multiply by 60 mins per 1 hour:
(8 miles/20 mins) * (60 mins/1 hour) = 24 mph
.
This gives us our first equation (1):
m+c = 24
.
When going upstream, the boat speed is reduced by the current -- and, the total speed is "8 miles in 30 minutes".
To convert to "miles per hour" we multiply by 60 mins per 1 hour:
(8 miles/30 mins) * (60 mins/1 hour) = 16 mph
.
This gives us our second equation (2):
m-c = 16
m = 16+c
.
Plug the above into equation 1 and solve for c:
m+c = 24
16+c+c = 24
16+2c = 24
2c = 8
c = 4 mph </span>
Answer:
Answers below
Step-by-step explanation:
7. Area of shape - area of small shape
A(s) = 5*5 = 25 - A(ss) = 3 = 25-3 = 22
8. Area of shape - area of small shape
A(s) = 4*2 = 8 - A(ss) = 1 = 8-1 = 7
130 oz is bigger than 8 pounds because 1 pound is equal to 16 oz
