Is the answer 15? If not are there any options?
Answer:the coefficient of k is 1/7
Step-by-step explanation:
The given expression is
P(k)=k/7+k^4+3
The coefficient of k is the number before the term k. The number before the term, k is 1/7
Answer:
A sqrt(x+2) - sqrt(x)
Step-by-step explanation:
2
--------------
sqrt(x) + sqrt(x+2)
Multiply top and bottom by sqrt(x) - sqrt(x+2)
2 sqrt(x) - sqrt(x+2)
------------------------ * --------------------------
sqrt(x) + sqrt(x+2) sqrt(x) - sqrt(x+2)
FOIL the denominator
2 (sqrt(x) - sqrt(x+2))
------------------------------
sqrt(x^2) - sqrt(x) sqrt(x+2) + sqrt(x) sqrt(x+2) - sqrt(x+2)^2
2 sqrt(x) - 2 sqrt(x+2)
------------------------------
x - (x+2)
Distribute the minus sign
2 (sqrt(x) - sqrt(x+2))
------------------------------
x - x-2
2 (sqrt(x) - sqrt(x+2))
------------------------------
-2
Cancel the 2 in the top and bottom
(sqrt(x) - sqrt(x+2))
------------------------------
-1
Distribute the -1
sqrt(x+2) - sqrt(x)
Answer:
Q1) (x+7)² = 9
x = -10, -4
Q2) (x-8)² = 144
x = -4, 20
Q3) (x-1)² = 81
x = -8, 10
Step-by-step explanation:
Q1) x² + 14x + 49 = 9
x² + 2(x)(7) + 7² = 9
(x + 7)² = 9
x + 7 = +/- sqrt(9)
x + 7 = 3
x = -4
x + 7 = -3
x = -10
Q2) x² - 16x + 64 = 144
x² - 2(x)(8) + 8² = 144
(x - 8)² = 144
x - 8 = +/- sqrt(144)
x - 8 = 12
x = 20
x - 8 = -12
x = -4
Q3) x² - 2x + 1 = 81
x² - 2(x)(1) + 1² = 81
(x - 1)² = 81
x - 1 =+/- sqrt(81)
x - 1 = 9
x = 10
x - 1 = -9
x = -8