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:
0 2
1 4 ⟌ 3 7
- 0
3 7
- 2 8
9
2 r 9
for 37 divided by 14
0 7
1 3 ⟌ 9 6
- 0
9 6
- 9 1
5
7 r 5
for 96 divided by 13
0 2 0
4 1 ⟌ 8 5 8
- 0
8 5
- 8 2
3 8
- 0
3 8
for 858 divided by 41
20 r 38
Step-by-step explanation:
Given:
The polynomial 
is divided by (x+2).
To find:
The remainder.
Solution:
Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is p(c).
Consider the polynomial:
It is divided by (x+2). So, by the remainder theorem the remainder is p(-2).
Substituting x=-2 in the above polynomial, we get
Therefore, the remainder is -9.
Answer: D.
Step-by-step explanation:
