Answer:
y-y1 = m(x-x1)
Step-by-step explanation:
Letter m is the slope.
x1, and y1 is a given point.
<span>Let x = the miles Jeanie ran
y = the miles Jeanie biked
T = 2 hours total time for the duathlon
v1 = 8.5 mph Jeanie's running speed and
v2 = 16 mph Jeanie's biking speed
But T = Jean's time she ran t1 + time she biked t2 I. e t1 + t2 = 2
So we have average speed v2 when she biked = distance (y) / time (t2)
Distance y = v2 * t2 = 16 * t2 and distance when she ran x = 8.5 * t1
Since she covered 27 miles while running and biking we have
x + y = 27
8.5t1 + 16t2 =27 ------(1)
t1 + t2 = 2 --------------(2)
The simultaneous equation gives us
t1 = 2/3 and t2 which is time she biked = 4/3
So 4/3 = 1 1/3. Which is 1 hour 20 minutes</span>
Answer: Yes
Step-by-step explanation:
10x - 5x = 5x
5x + 5 = 5x + 5
Answer- Irrational
Explanation
Answer:
A. 21
Step-by-step explanation:
Use the trigonometric function for the tangent of an angle because the adjacent side of the right-angled triangle is provided in the question, whilst the opposite side is x.
tan = opposite / adjacent
tan 60° = x / 7 * sqrt(3)
Now make x the subject of the equation.
x = tan 60° * 7 * sqrt(3)
x = 21
When multiplying, take into consideration all the digits on your calculator display.
Hope this helped!