Given the radius of 50 miles and the line joining the cities at (0, 56) and (58, 0), the transmitter signal can be picked during 59.24 miles of the drive.
<h3>How can the duration of signal reception be found?</h3>
Radius of broadcast of the transmitter = 50 miles
Location of starting point = 56 miles north of the transmitter
Location of destination city = 58 miles east of the transmitter
Therefore we have;
Slope of the line joining the two cities
= 56 ÷ (-58) = -0.966
Which gives the equation of the line as follows;
y = -0.966•x + 56
The equation of the circle is;


1.933156•x^2 - 108.192•x + 636 = 0
Which gives;
Therefore;
When x = 6.67, we have;
- y = -0.966 × 6.67 + 56 = 49.56
When x = 49.29, we have;
- y = -0.966 × 49.29 + 56 = 8.4
The length of the drive, during which the driver can pick the signal, <em>l</em>, is therefore;
l = √((49.56-8.4)^2 + (49.29-6.67)^2) = <u>59.24 miles</u>
- The length of the drive during which the signal is received is 59.24 miles
Learn more about the equation of a circle here:
brainly.com/question/502872
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Answer:
61
Step-by-step explanation:
So basically you separate the numbers like 1 1 1 1 0 1, and time 2 while having the number of numbers as the exponent decreasing. Like this, 1x2^5+1x2^4+1x2^3+1x2^2+0x2^1+1x2^0. Then figure it out and it would be 32+16+8+4+0+1=61. If don't understand, look at the picture below
<span>(0, –3) (2, –4)
slope = difference in y divided by </span><span>difference in x
</span>
<span>slope = (-3 --4) / (0 -2) =
1 / -2
</span>
15 points
32/6=5 1/3
if you assume that you only get points after defeating six enemies, you can disregard the 1/3
5*3=15