Solve the equation m2 + 6m = –4 using the quadratic formula. a. m = –3±√ 5 b. m = 5±√ 3 c. m = 3±√ 5 d. m = –5±√ 3

 m = –3±√ 5

m=

−b±√b2−4ac

2a

m=

−(6)±√(6)2−4(1)(4)

2(1)

m=

−6±√20

2

m=−3+√5 or m=−3−√5

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12