First, let's re-arrange to slope-intercept form.
x + 8y = 27
Subtract 'x' to both sides:
8y = -x + 27
Divide 8 to both sides:
y = -1/8x + 3.375
So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.
So the slope of the perpendicular line will be 8.
Now we can plug this into point-slope form along with the point given.
y - y1 = m(x - x1)
y - 5 = 8(x + 5)
y - 5 = 8x + 40
y = 8x + 45
<span> The coordinates of point P on a coordinate grid are (−5, −6). Point P is reflected across the y-axis to obtain point Q and across the x-axis to obtain point R. What are the coordinates of points Q and R? Q(5, 6) and R(−5, −6) Q(−5, −6) and R(5, 6) Q(−5, 6) and R(5, −6) Q(5, −6) and R(−5, 6). </span><span>
</span>
Answer:
n<-1
Step-by-step explanation:
Distribute 5 and -5 into each parenthesis respectively: 40n+35<5-5n-15
Combine like terms: 40n+35<-5n-10
Add 5n to both sides: 45n+35<-10
Subtract 35 from both sides: 45n<-45
Divide both sides by 45: n<-1
Answer:
1561.6
Step-by-step explanation:
The angles will add up to 180 degrees.