Think of the 13-ft length of the ladder as the hypotenuse of a right triangle. Represent the horiz. distance from foot of ladder to base of tree by x, or 5 ft.

Represent the vert. dist. from base of tree to top of ladder by y, which is unknown.

Then (13 ft)^2 = (5 ft)^2 + y^2, or

169 ft^2 = 25 ft^2 + y^2. This simplifies to y^2 = 144. Thus y = + 12 feeet.

Note: Please pay attention to your spelling: "lader i up agenst a tree" should be "the top of a 13-ft ladder is placed against a tree."

7 0

3 years ago

Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is eq

iren [92.7K]

Answer:

See below

Step-by-step explanation:

Given function

f(x)=x³ + 3x²- 7x - 21

We can find its factors:

x³ + 3x² - 7x - 21 =
x²(x + 3) - 7(x + 3) =
(x² - 7)(x + 3)

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

8 0

3 years ago

Graph the solution set to the inequality -s/2 + 5 < 4 Please help!!!

IceJOKER [234]

Answer:

Draw a same side int. angle with s/2 as the perp. bisector

Step-by-step explanation:

5 0

3 years ago