How to find and calculate k and g?

k = -3, g = 5

Step-by-step explanation:

I think the question is meant to be

The INVERSE of the left matrix is the right matrix.

Since the inverse of a 2 x 2 matrix P

a b

c d

is

(1/det(P)) times

d -b

-c a

we have

4 -5

1 -2

changed to

-2 5

-1 4

divided by the determinant of the left matrix

det() = (4*(-2) -1(-5)) = -8 - (-5) = -3 = k

g = 5 (the top right element of the inverted matrix)

step-by-step explanation:

their are no angles. sorry cant .

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15