Answer:
Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.
Step-by-step explanation:
Since Charlotte walks home from school every day at a rate of 4 miles per hour and it takes her 30-minutes to reach home, while her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour, to determine how many fewer minutes does it take Noah than Charlotte to reach home from school each day the following calculation must be performed:
Charlotte:
4 mph = 4/60 = 0.0666 miles per minute
0.0666 x 30 = 2 miles
So the distance from the school to her house is 2 miles
Noah:
6/60 = 0.1 mile per minute
2 / 0.1 = 20
Thus, Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.
Answer:
Step-by-step explanation:
a=10 (4,0,2,4,3,1,2,3,1,4)
b=4 (7,5,6,9)
c=6 (13,13,13,10,13,12)
d= 5 (17,16,17,17,16)
e=6 (21,23,20,20,21,23)
Answer:
9.8t
Step-by-step explanation:
3.9t + 5.9t = 9.8t
( Inconsistent ) because if two lines meet they intersect honey i hope its the right answer
Answer:
Yes, at positive x-coordinates.
Step-by-step explanation:
Finding the equation for g(x):
Slope = (3-6)/ (1-0) = -3
y-intercept = y value when x = 0 = 6.
So g(x) = -3x + 6
Solve them simultaneously:
x^2 + y^2 = 16
g(x) : y = -3x + 6
Substitute for y in the first equation:
x^2 + (-3x + 6)^2 = 16
x^2 + ( 9x^2 - 36x + 36) = 16
10x^2 - 36x + 20 = 0
5x^2 - 18x + 10 = 0
x = [-(-18) +/- sqrt ( (-18)^2 - 4 * -18 * 10)] / (5*2)
= ( 18 +/- sqrt 124 )/ 10
= (1.8) +/- 1,114
These 2 roots are both positive.
