Answer:
First we need to calculate the distance between Clifton and Burlington by using Pythagorean theorem:
x² + 65² = 97²
=> x² = 97² - 65²
=> x² = 5184
=> x = √5184 = 72 (m)
The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137 (m)
We have: 137 - 97 = 40 (m)
So it is 40 m closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington
Answer:
81mm
Step-by-step explanation:
the number of steps is small enough that we can simply list out each step
let the time elapsed be t and the original length be L ( = 1 mm)
when t = 0, L = 1mm
when t = 10, L = 3mm
when t = 20, L = 3 x 3 = 9mm
when t = 30, L = 9 x 3 = 27mm
when t = 40, L = 27 x 3 = 81mm
Answer:
(1,0)
Step-by-step explanation:
y>-3x +3
y≥ 2x-2
If we plot these two inequalities, we can see where the lines intersect, See attached graph.
They intersect at (1,0)
We can also do this mathematically:
y>-3x +3
<u>- (y≥ 2x-2)</u>
0 
-5x + 5
5x 5
x 1
If x = 1:
y≥ 2x-2
y≥ 2(1)-2
y≥ 0
(x,y) = (1,0)
Answer:
The x-term inside the radical has a negative coefficient
Step-by-step explanation:
The argument of a square root should be ALWAYS greater or equal to zero. If the domain of the function is x<7, rearranging, we have: 0<x-7
Therefore the argument is: x-7, and the function is: y = √(x-7)
The statement "The x-term inside the radical has a negative coefficient" is the right answer.
