The period of y = cot x is kπ where k∈<span>Z.</span>
Answer:


Step-by-step explanation:
First, identify the slope.
We are given the line y=7x-5.
This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.
Now, find the parallel and perpendicular slopes.
1. Parallel Slope
Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.
2. Perpendicular Slope
Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.
- Negate the slope: 7⇒ -7
- Find the Reciprocal (flip the numerator and denominator: -7/1 ⇒ -1/7
A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.
Answer:
Step-by-step explanation:
radius =( (8+7)^2 + (7+1)^2 )^1/2 = 17 unit
Equation of the circle = (x + 7)^2 + (y+1)^2 = 17^2
= (-15+7)^2 + (y+1)^2 = 17^2
=14
(-15, 14) lies on this circle
Answer:
6 Laps
Step-by-step explanation:
3 laps + 6 miles = 5 laps + 2 miles.
Subtract miles over. 3 laps + 4 miles = 5 laps.
Subtract laps over. 4 miles = 2 laps.
Simplify. 2 miles = 1 lap.
Plug it in to one of the equations. 5 laps + 2 miles = Your answer.
2 miles = 1 lap. 5 laps + 1 lap = 6 laps.
Your answer is 6 LAPS.
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