A 10-foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the wall as shown in the picture. Which of the following is the approximate distance from the top ladder base of the wall.

A) 6ft
B) 9ft
C) 11ft
D) 14ft

9ft. (B)

Step-by-step explanation:

Pythagoras theorem( a²+ b²= c²)

=a²+4²=10²

a²+16=100

a²=100-16

a²=84

a=√84

=9.1

approx. =9

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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