What is the exact value in degrees 2sin^2x+9cosx-6=0

x = 60 degrees

or

x = 300 degrees

Step-by-step explanation:

Here, we want to get the exact value of x in degrees

Recall;

sin^2x = 1 - cos^x

Thus, we have that;

2(1 - cos^2x )+ 9cos x - 6 = 0

let cos y = 0

2-2y^2 + 9y -6 = 0

-2y^2 + 9y -4 = 0

-2y^2 + 8y + y - 4 = 0

-2y(y - 4) + 1(y-4) = 0

(1-2y) (y-4) = 0

1 = 2y

y = 4

so y = 1/2 or 4

Since the value of cos cannot be 4, we simply disregard and have y = 1/2 as the only answer

Recall;

y = cos x

cos x = 1/2

x = arc cos 1/2

x = 60 or 300 degrees

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: