Answer:
9.33 feet = 111.96 inches
Step-by-step explanation:
If we have similar triangles, the rate between matching sides is the same.
So the length of the smaller ladder (18 ft) over the length of the taller ladder (24 ft) is equal to the distance from the bottom of the smaller ladder to the tree (7 ft) over the distance from the bottom of the taller ladder to the tree (x ft):
18 / 7 = 24 / x
x = 7 * 24 / 18
x = 9.33 feet
To find this measure in inches, we just need to multiply by 12:
x = 9.33 * 12 = 111.96 inches
Two immediate observations:
(1) Clearly, we can't have
, since that would make both the rational and the square root terms undefined.
(2) If
is real, then
only exists if
. This means that for
to exist, we require
.
If
, then we don't have to worry about
ever taking on a value of -2.
Answer:
slope = -7/2
Step-by-step explanation:
To find the slope, we will solve the equation for y.
7x-2y=0.2
Subtract 7x from each side.
7x-7x-2y=-7x+0.2
-2y = -7x+0.2
Then we need to divide each side by -2
-2y/-2 = -7x/-2 + 0.2/-2
y = -7/2 x -0.1
This is in the form y= mx+b where m is the slope and b is the y intercept.
So the slope is -7/2 and the y intercept is -0.1
