11.8 to a mixed number is 11 8/10 or 11 4/5.
First, we determine the area of the rectangular house by multiplying the length by the width. That is,
area of the house = (50 ft)(24 ft) = 1200 ft²
Given that all sides of the house should have the pathway, the length of the house plus the pathway should be 50+2x and the new width would be 24+2x. The new area minus the original area of the house should not be more than 345 ft². Thus, the equation would be,
(50+2x)(24+2x) - 1200 ≤ 345
Answer:
K is either 9 or 1
Step-by-step explanation:
Sqrt((0 - 3)² + (k - 5)²) = 5
Square both sides
(0 - 3)² + (k - 5)² = 5²
(0 - 3)² + (k - 5)² = 25
-3² + (k - 5)² = 25
9 + (k-5)(k-5) = 25
9 + k² - 5k - 5k + 25 - 25 = 0
k² - 10k +9 = 0
k² - 9k - k + 9 = 0
k(k - 9) - 1(k - 9) = 0
k - 1 = 0 ; k = 1
k - 9 = 9; k = 1
K = 9 or k = 1
K is either 9 or 1
(x^2 - 1) = (x+1)(x+1)
so
answer is <span>(x + 1)(6x – 1)</span>
