Answer:
Accelerating to top speed, deaccelerating to finish line.
Step-by-step explanation:
If the runner kept a constant speed of 11 mph for the whole duration of his run (32 minutes), the distance he would have covered is:
This means that, in order to run the full 6.2 miles, the runner needs to reach a speed over 11 mph. Assume he starts from rest, while accelerating the runner reaches, and the surpasses, the 11 mph mark. Since his speed at the finish line is zero, the runner has to deaccelerate from his current running speed (which should be higher than 11 mph), passing through 11 mph and reaching zero at the finish line.
Answer:
∠ 3 = 65°
Step-by-step explanation:
∠ 2 and 115° are a linear pair and sum to 180° , that is
∠ 2 + 115° = 180° ( subtract 115° from both sides )
∠ 2 = 65°
∠ 2 and ∠ 3 are corresponding angles and and are congruent , then
∠ 3 = 65°
Answer:
Step-by-step explanation:
<h3>Equation of the line in slope- intercept form:</h3>
Here, m is the slope and b is the y-intercept
Find the slope with the given two points.
Slope = -2/3 and choose any one the given points.
Substitute m = -2/3 and (5,6) in the above equation and find 'b'
Equation of the line:
Answer:
x= 8.1353
x= 8.135 (rounded to the nearest tenth-thousandths)
x= 8.14 (rounded to the nearest thousandths)
x= 8.1 (rounded to the nearest tenth)
Step-by-step explanation:
<u><em>Note I am not 100% sure with my answer</em></u>
2 − ln (x − 8)= 4
−ln (x − 8) + 2= 4
−ln (x − 8) + 2 + −2= 4 + −2
−ln (x − 8)= 2
−ln (x − 8)/−1= 2/−1
ln (x − 8)= −2
<solve for the logarithm (ln)>
ln (x − 8)= −2
e^ln (x − 8)= e^−2
x − 8= e^−2
x − 8= 0.1353
x − 8 + 8= 0.1353 + 8
x= 8.1353
