Answer:
13 units
Step-by-step explanation:
D is at (1,6) and C is at (-4,-6)
The distance is found by
d = sqrt(( y2-y1)^2+ (x2-x1)^2))
= sqrt( ( -6-6)^2 + (-4-1)^2)
= sqrt( -12^2 + -5^2)
= sqrt( 144+ 25)
= sqrt( 169)
= 13
Answer:
0.5hrs
Step-by-step explanation:
Let the speed downhill be
,
Speed uphill is
. We are told than speed uphill is
the speed on flat ground. Therefore the speed on level ground will be
.
From this info, we can obtain the actual speed,
on level ground as:

speed, distance and time have the relation
so to obtain time to cover 45miles:

Hence it takes 0.5hrs to cover 45miles on flat ground.
<u><em>Answer:</em></u>
575% as a mixed number is 
<u><em>Explanation:</em></u>
575% is equivalent to
which is equal to 5.75
5.75 = 5 + 0.75
0.75 can be written as
. This value can be simplified by dividing both the numerator and the denominator by 25. This would give us 
<u>Back to our number:</u>

Hope this helps :)
Answer:
6 kg/m
Step-by-step explanation:
mass m = 3x^2.
rho ρ= dm/dx =6x
ρ(1) =6 Kg/m
linear density is the derivative of mass (m) with respect to position(x)
that is how fast is the mass changing at that position.
Answer:
x = 40 degrees
Step-by-step explanation:
Triangle angle sum is 180 so 180 = 65 + 75 + x.
180 = 65 + 75 + x
180 = 140 + x
40 = x