Answer:
A
Step-by-step explanation:
if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

center is (2,-4)
r=√(2²+(-4)²-(-14))
=√(4+16+14)
=√(34)
eq. of circle is (x-2)²+(y+4)²=34
or
(x²-4x)+(y²+8y)=14
(x²-4x+4)+(y²+8y+16)=14+4+16
(x-2)²+(y+4)²=34
Plane #1 speed: x mph
Plane #2 speed: (x+30) mph
time = time becomes
170 mi 185 mi
---------- = --------------
x x+30
Solving for x, the speed of the slower plane, we get
170x + 5100 = 185 x
5100
Then 15x = 5100, and x = ---------- (mi/hr) = 340 mph
15
The slower plane flies at 340 mph, and the faster one at 370 mph.
5x + 2x + 3x = 180
10x = 180
x = 18
Angles are 36, 54, 90
<u>Answer:
</u>
The car’s rate in kilometer per minute is 1.2 kilometer/minute and in 20 min it can travel 24 kilometer
<u>Solution:
</u>
It is given that it can travel 72 kilometer per hour.
We know 1 hour = 60 min
So, the car travels in
60 min = 72 hour

Thus the cars rate in kilometer per minute is
is 1.2 kilometer per minute.
Now we know in 1 minute the car can travel 1.2 kilometer.
Therefore in 20 minutes it will travel 1.2
20 kilometers= 24 kilometers