Answer:
26 miles
Step-by-step explanation:
Given: 24 miles drive to north.
10 miles drive to east.
Driving pattern form a right angle triangle, which has three leg including straight line distance from starting point (hypotenous).
Now, using Pythogorean theoram to find straight line distance from starting point.
h²= a²+b²
Where, h is hypotenous
a is opposite leg
b is adjacent leg.
⇒h²= 
⇒
⇒
Taking square root on both side, remember; √a²= ±a
⇒
∴ 
Ignoring -26 as distance cannot be negative.
Hence, 26 miles is the straight line distance from starting point.
Answer:
x = -48
<em><u>hopefully i helped :)</u></em>
3(x+7)<7(x+2)
Inequality Form: x>7/4
Interval Notation: (7/4, infinity)
For the largest area, half the fence is used parallel to the river, and the other half is used for the two ends of the rectangular space.
The dimensions are 475 m by 237.5 m.
_____
Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.
