Nice so
remember
t=d/s
a(b+c)=ab+ac
time=distance/speed
lets say s=jamie's normal speed
speed agains wind=s-4
speed with wind=s+4
30 miles is agains wind
distance is 54 with wind
t=d/s
t=30/(s-4)
t=54/(s+4)
since they are both equal to t, set them equal to each other
30/(s-4)=54/(s+4)
multipliy both sides by (s+4)(s-4)
30(s+4)=54(s-4)
distribute
30s+120=54s-216
subtract 30s from both sides
120=24s-216
add 216 to both sides
336=24s
divide both sides by 24
14=s
answer is 14 miles per hour without wind
Answer:
It is the easiest way to graph an equation.
Step-by-step explanation:
Isolating the y variable is also slope-intercept form.
Slope intercept form is the easiest form to use when graphing.
y = mx + b
m is the slope, b is the y-intercept.
it makes it way easier to graph an equation when it is in slope intercept form.
I hope that helps! =)
Draw a triangle with shortest side on the ground (horiz.). The length of this side is 80 feet. Two angles touch the ground: a right angle, and the 70 degree angle.
Then the height of the building is the 2nd shortest side.
The tangent function is the appropriate one to use here:
opp h
tan 70 deg = -------- = ----------
adj 80 ft
h
Since tan 70 deg = 2.75, 2.75 = -------
80 ft
so h = building height = (80 ft)(2.75) = 219.8 ft
