What is the equation for the line that is perpendicular to 4x + 2y = 9 that goes through the point (- 8, 5)?

Step-by-step explanation:

1) all the perpendicular lines are: 2x-4y=C, where C - unknown number;

2) if to substitute the coordinates (-8;5) into 2x-4y=C, then C=2*(-8)-4*5= -36;

3) if C= -36, then the required equation is: 2x-4y=-36 or y=1/2 x +9.

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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