0.48 miles
Step-by-step explanation:
Step 1
It is given that the grade(slope) is 4%. This means that for every 100 miles traveled, the elevation changes by 4 miles.
Step 2
Hence for a distance of 12 miles , the elevation changes by 12*4/100 = 48/100 = 0.48 miles. [Using direct proportion]
Answer:

Step-by-step explanation:
The rate of change is a measure of the slope
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (29, 9) and (x₂, y₂ ) = (33, 10)
m =
=
← rate of change
5x+y= -5 , i hope I help you
Answer:
y-7=1/4(x+5)
Step-by-step explanation:
y-3=-4(x+2)
y=-4x-8+3
y=-4x-5
-----------
y-y1=m(x-x1)
y-7=m(x-(-5))
y-7=m(x+5)
perpendicular means negative reciprocal of the slope,
so the slope will be 1/4
y-7=1/4(x+5)
9514 1404 393
Answer:
7 cm, 4.4 cm
Step-by-step explanation:
The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...
s = √(a² +b² -2ab·cos(C))
s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}
The two side lengths are 7 cm and about 4.4 cm.