Answer:
B
Step-by-step explanation:
Imagine this pole of height h sticking out of the ground. A wire of length 15 feet connects the top of the pole to a stake in the ground which is located 5 feet from the base of the pole. This arrangement creates a right triangle with legs h (the height of the pole), 5 ft (distance of bottom of pole from stake) and hypotenuse 15 ft.
We can find the height of the pole (h) using either trig or the Pythagorean Theorem. If we use the P. T., then h^2 + 5^2 = 15^2.
This results in h^2 + 5^2 = 15^2, or h^2 + 25 = 225, and so:
h^2 = 200. Thus, h = +√200 = +10√2.
The height of the pole is 10√2 ft, or approx. 14.14 ft.
Step-by-step explanation:
use the negative number -$65 to represent the change in the value of Leon's card
use absolute value to say that his balance will be $65 less
Since 1 < x < 5, adding each side by a, where a is negative, gives
a > ax > 5a
and adding b to each side gives
a + b > ax + b > 5a + b
or
5a + b < ax + b < a + b
Since 7 < f(x) < 23, it follows that
5a + b = 7
a + b = 23
Solve for a by eliminating b :
(5a + b) - (a + b) = 7 - 23
4a = -16
a = -4
Solve for b :
-4 + b = 23
b = 27
