Given:
y = x - 6 (1)
for the line
x² + y² = r² (2)
for the circle
When the line intercepts the circle, the x and y values will be equal.
Equate the values of y by substituting (1) into (2).
x² + (x - 6)² = r²
x² + x² - 12x + 36 = r²
2x² - 12x + 36 = r²
Answer: r² = 2x² - 12x + 36
Remark
the question depends on d= r * t
d = the distance in miles.
r = the rate of travel in miles per hour
t = the time in hours.
Step One
Rearrange the formula so you are solving for the rate.
d = r * t Divide by t
4 5/6 = (4*6 + 5)/6 = 29/6
r = d / t
Step Two
Substitute into the equation.

Step Three
Turn the bottom fraction upside down. Multiply these two together.
r = 
r = 29/4 miles hour.
Step Four
Solve for d when t = 1 hour.
d = ??
r = 29/4 miles / hour
t = 1 hour.
d = 29/4 * 1
d = 29/4 miles
That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles
Answer:
D. Down 5, Left 2
Step-by-step explanation:
-5 on the outside means it will go down 5.
+2 directly grouped with the variable means it will do the opposite, so it goes left 2.
Answer:
16 = <u>3x</u>
Step-by-step explanation:
It is an equilateral triangle. The formula for the perimeter of an equilateral triangle is P = 3a.