The answer is C, 40, angle c for triangle abc is 50 bc the total of it and 130 must equal 180. so if you subtract the angle you are given, 90, and the new angle, 50, from 180 (total a triangle should have) then your answer is 40.
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
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If bob sleeps for 9 hours a day and 9 x 365 is 3,285. He sleeps for 3,285 hours a year
logc(x^2-1) - (logc^5+logc^x) is the right answer.