Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds after you see the lightning, you are about 2 miles from the lightning. Write the equation for the given situation in its simplest form. a y= 10x+2 b y=1/5x c y=2x+10 d y=5x

y = 1/5x

Step-by-step explanation:

Here, we have a direct relationship between the distance from lightning and the time it takes to hear thunder

Let the distance from lightning be y and the time it takes to hear thunder be x

If k is the proportionality constant, then;

y = kx

Now, let’s calculate k , given x 10 seconds and y = 2 miles

2 = 10k

k = 2/10 = 1/5

So the equation for the given situation is;

y = 1/5x

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.