Answer:
15 ft
Step-by-step explanation:
Hi, the illustration for the problem is a right triangle with:
hypotenuse (C)= the length of the ladder = L
horizontal side(A) = distance from bottom of the ladder to the building = L - 6
vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3
So, we can use Pythagoras formula:
A2 +B2= C2
(L – 6 )² + (L-3)² = L²
L²-12L+36+L²-6L+9 =L²
L2 -18L+45 =0
APPLYING QUADRATIC FORMULA WE OBTAIN:
L =15 OR L=3
If L=3
Vertical side = L-3 = 0 (Length can´t be 0)
So L=15
Answer:
x^2−64
Step-by-step explanation:
(x+8)(x−8)
=(x+8)(x+−8)
=(x)(x)+(x)(−8)+(8)(x)+(8)(−8)
=x^2−8x+8x−64
=x^2−64
Answer: I need more information to answer this
Step-by-step explanation:
Use the pythagorean theorem a.k.a

c is the hypotenuse while a & b are the legs


subtract 225 from 289

square root both b and 64
the other leg is equal to 8
You solve for x
start by expanding the (3x-7)²
12 = 2(3x - 7)(3x - 7) + 4
12 = 2(9x² - 42x + 49) + 4
multiply the 2 through
12 = 18x² - 84x + 98 + 4
combine all like terms, set equal to zero
18x² - 84x + 102 - 12 = 0
18x² - 84x + 90 = 0
use the quadratic equation

Where
a = 18
b = -84
c = 90
then x = 3 and 5/3