Answer:
y = -1/2 x - 13/2
Step-by-step explanation:
what is an equation of the line that is perpendicular to y-4=2(x-6) and passes through (-3,-5)
First, we need the slope of the given line.
y - 4 = 2(x - 6)
y - 4 = 2x - 12
y = 2x - 8
The slope of the given line is 2.
The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular is -1/2.
y = -1/2 x + b
We use the given point as x and y and solve for b.
-5 = -1/2(-3) + b
-10 = 3 + 2b
2b = -13
b = -13/2
The equation of the perpendicular line is:
y = -1/2 x - 13/2
1. 17 2. 5 3. 4 4. 6 5. 2 6. 6 7. 11 8. 12 9. 12 10. 3
17 inches
15^2 + 8^2 = 289
square root of 289 = 17 inches
Answer:y = k x + 1
(1,3)
3 = k(1) + 1
2 = 1k
k = 2
Step-by-step explanation:
Answer:
theta = 24.4 degrees
Step-by-step explanation:
This is a right triangle.
sin theta = opp/ hyp
sin theta = 33/80
Take the inverse of each side
sin^-1 sin(theta) = sin^-1 (33/80)
theta =24.36197794
To the nearest tenth
theta = 24.4 degrees
