Answer:
Sure
Step-by-step explanation:
Answer:
D 21
Step-by-step explanation: x/7 = 3
isolate x by multiplyig both sides by 7: (7)(x/7) = (3)(7)
x = 21
By being able to pair the same things it wills simplify the question adding brackets will hwlp
Answer:
~1.8 mile
Step-by-step explanation:
Michael lives at the closest point to the school (the origin) on Maple Street, which can be represented by the line y = 2x – 4.
This means Michael's house will be the intersection point of line y1 (y = 2x - 4) and line y2 that is perpendicular to y1 and passes the origin.
Denote equation of y2 is y = ax + b,
with a is equal to negative reciprocal of 2 => a = -1/2
y2 pass the origin (0, 0) => b = 0
=> Equation of y2:
y = (-1/2)x
To find location of Michael's house, we get y1 = y2 or:
2x - 4 = (-1/2)x
<=> 4x - 8 = -x
<=> 5x = 8
<=> x = 8/5
=> y = (-1/2)x = (-1/2)(8/5) = -4/5
=> Location of Michael' house: (x, y) = (8/5, -4/5)
Distance from Michael's house to school is:
D = sqrt(x^2 + y^2) = sqrt[(8/5)^2 + (-4/5)^2) = ~1.8 (mile)
Answer:
Step-by-step explanation:
Given:
Each city is exactly 120 miles from the other two.
Average rate from city A to city B = 60 mi/hr
Average rate from city B to city C = 40 mi/hr
Average rate from city c to city A = 24 mi/hr
We need to find the Dale's average rate for the entire trip.
Solution:
First we find the total time and total distance by following way.
Time taken to travel from A to B = 
Time taken to travel from B to C = 
Time taken to travel from C to A = 
So, total time taken = 
Total distance = 120 + 120 + 120 = 360 miles
Using average speed formula.
Therefore, the average rate for the entire trip
