Answer:
6.914miles (to 3 decimal places)
Step-by-step explanation:
Length of an arc = θ/360 *2πr
angle subtended by arc at the center of the earth = 6 minutes
1 minute =1/60 degree
6 minute= 6/60 degree =0.1°
θ=0.1°
radius of earth = 3960 miles
distance along the arc = 
=6.9142857143miles
Slope form is y/x
to find this subtract -5, 7 by -3, 5 to get
-2, 2 and putting it in slope format....2/-2 which would be -1 or just -x (means -1x)
so far we've found out.....y = -x (+b)
b is what we need to find now so... plug in one of the coordinates
7=5+b (5 because --5 is positive 5)
b=2
so FINALLY the equation would be y = -x + 2
Marcy
The school and Marcy are on the same x axis on the grid at -3 whilst Henry is the opposite end of the axis. Thus on the x axis Marcy is closer
On the y axis Henry is closer as they are both on 8 and Marcy is on 2
However overall Marcy is closer as the difference between -3 and 4 is 7 and the difference between 2 and 8 is 6
Hope this is right And hope it helps!
Answer:
Proofs
Step-by-step explanation:
They are not inverse because f^-1(x) = x - 3/2 is not the inverse to g(x) = 2x - 3.
Answer:
38 degrees
Step-by-step explanation:
Since angles KLO and OLM are supplementary, they add up to 180 degrees
So, angle OLM is 180-134=46 degrees
Similarly, angles OMN and OML are supplementary, so they also add up to 180 degrees
So, angle OML is 180-84=96 degrees
You also know that the angles of a triangle sum up to 180 degrees
So, 46+96+x=180
180-142=38
x=38 degrees
