Answer:
LCD = 4 x^2
Step-by-step explanation:
The least common denominator : LCD
(x + 1) / 4x and (3(x + 1)) / 2x^2
factor 4x : 2, 2, x
factor 2x^2 : 2, x, x^2
take highest powers 2^2 and x^2
LCD is 4*x^2
Move constant to other side
add 1
4c^2-8c=1
divide by 4 to make leading coeficient 1
c^2-2c=1/4
take 1/2 of linear coeficient and square it
-2/2=-1, (-1)^2=1
add that to both sides
c^2-2c+1=1/4+1
factor perfect squaer and add
(c-1)^2=5/4
square root both sides
c-1=+/-(√5)/2
add 1
c=1+/-(√5)/2
c=2.12 or -0.12
Answer:
3
Step-by-step explanation:
Answer:
(x²-2x)/(2x+6)
Step-by-step explanation:
When you are asked to divide two fractions just do keep-change-flip. Keep the first fraction, change the ÷ to x and flip the second fraction upside down. So the problem becomes ((x-2)/(x+3)) times (x/2). Then just multiply numerators and multiply denominators.
Choice given:
<span>33.6°
39.8°
50.2°
56.4°
I drew the figure.
I got 12 ft as the hypotenuse, 10 ft as the opposite.
Sin</span>Θ = opposite / hypotenuse
SinΘ = 10/12
SinΘ = 0.83
I used the calculator to get the value of each angle using the sine function
sin(33.6°) = 0.55
sin(39.8°) = 0.64
sin(50.2°) = 0.77
sin(56.4°) = 0.83
The angle where the wire meets the ground is approximately 56.4°
