Answer: B
Step-by-step explanation:
Answer:
<h2>Sorry I couldn't find it.</h2>
Step-by-step explanation:
<h3>:((((((((((((((((((</h3>
The value of h is 9/12 and the value of k is 35/48
<h3>How to solve the equation?</h3>
The equation is given as:
6x^2 +9x - 1 = 0
Add 1 to both sides of the equations
6x^2 +9x - 1 + 1= 0 + 1
Evaluate the sum
6x^2 +9x = 1
Divide through the equation by 6
x^2 +9/6x = 1/6
Take the coefficient of x
k = 9/6
Divide by 2
k/2 = 9/12
Square both sides
(k/2)^2 = (9/12)^2
So, we add (9/12)^2 to both sides of the equation x^2 +9/6x = 1/6
x^2 +9/6x + (9/12)^2 = 1/6 + (9/12)^2
Next, we express the left-hand side as a perfect square
(x^2 + 9/12)^2 = 1/6 + (9/12)^2
The form of the equation is given as:
(x + h)^2 = k
So, we have:
h = 9/12
k = 1/6 + (9/12)^2
Simplify
k = 1/6 + (3/4)^2
Evaluate the exponent
k = 1/6 + 9/16
This gives
k = (8 + 27)/48
Evaluate
k = 35/48
Hence, the value of h is 9/12 and the value of k is 35/48
Read more about completing the square at:
brainly.com/question/4331586
#SPJ1
Answer:
A. 4
Step-by-step explanation:
SOH CAH TOA
Opposite & hypotenuse - sin
Sin(30) = o/8
x 8
O = 8 x Sin(30)
O =4
Hope this helps!
