Determine the intercepts of the line 2x+5y=-6?

The x intercept is (-3,0)

The y intercept is (0,-6/5)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

2x+5y=-6

2x+0 = -6

Divide by 2

2x/2 = -6/2

x = -3

The x intercept is (-3,0)

To find the y intercept, set x =0 and solve for y

2x+5y=-6

0+5y = -6

Divide by 5

5y/5 = -6/5

y = -6/5

The y intercept is (0,-6/5)

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

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step-by-step explanation: