The perpendicular line will have a slope of b/a.
To find this, we first have to solve our equation for slope intercept form.
ax + by = c ----> subtract ax
by = -ax + c ----> divide by b
y = -a/bx + c/b.
So we know the slope of this equation to be -a/b. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of b/a.
(-6/5, -8/5), you substitute 3x+2 for the y in the first equation. So the first equation will read 2x+3x+2, then you solve and get x= -6/5. Then you have to solve for y, so you put your x value (-6/5) in the second equation for x. it should read y= 3(-6/5)+2, the answer to that is y= -8/5. After that you just put them in order (x,y) and there's your answer.
Answer:
the empty set {∅}
Step-by-step explanation:
{x | x < -3} ∩ {x | x > 5} is giving us
(-∞, -3) intersecting (5, ∞).
Since those two intervals do not intersect the solution is the empty set
Answer:
<h2>109 and 71</h2>
Step-by-step explanation:
3x + 10 + 3x - 28 = 180
6x = 180 - 10 + 28
x = 198/6
x = 33
substitute the value of x = 33 back into the equation to solve for each angle
= 3x + 10
= 3(33) + 10
= 109
= 3x - 28
= 3(33) - 28
= 71
