Answer:
x = 5 , y = 5
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values.
sin30° = , cos30° =
, then
sin30°= =
=
( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5
and
cos30° = =
=
( cross- multiply )
2y = 10 ( divide both sides by 2 )
y = 5
9514 1404 393
Answer:
y = -3x +6
Step-by-step explanation:
The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.
The equation will look like ...
x -3y = 3 . . . . . . . . . . . . . given line
3x +y = constant . . . . . . perpendicular line
where "constant" can be found by substituting for x and y.
3x +y = 3(5) +(-9)
3x +y = 6 . . . . equation in standard form
To put this in slope-intercept form subtract 3x:
y = -3x +6
