Answer:
Step-by-step explanation:
J is a tangent to the circle and it is at right angle,
So applying Pythagorean theorem
HK² = KJ² + HJ²
HK² = 8²+ 15²
HK² = 64 + 225
HK² = 289
HK = √289
HK = 17 mi
Since the slope is -2 we know that m=-2. Now use the standard form of y=mx+b and plug in the coordinates (-8,2). We know y=2, x=-8, and m=-2. Therefore we get 2=-2(-8)+b. Now solve for b and you get -14. Therefore, the equation is y=-2x-14.
Hope this helped!
-12+3b-1=-5-b
Combine like terms to get:
3b-13=-5-b
Add 13 to both sides:
3b= 8-b
Add b to both sides:
4b=8
Divide both sides by 4:
4b/4=8/4
b=2
Final answer
b=2
0.48 miles
Step-by-step explanation:
Step 1
It is given that the grade(slope) is 4%. This means that for every 100 miles traveled, the elevation changes by 4 miles.
Step 2
Hence for a distance of 12 miles , the elevation changes by 12*4/100 = 48/100 = 0.48 miles. [Using direct proportion]
