hello ....
the equation of a plane that is ; ax+by+cz +d =0
the vector perpendicular to this plane is : V(a,b,c)
in this exercice ; a = -4 b= -4 c = -1
then: the equation of a plane that is ; -4x-4y-z +d =0
but the plane passing through the point (−2,−5,5) :
-4(-2)-4(-5)-(5) +d =0
23+d =0
d =-23
the equation of a plane is : -4x-4y-z-23 =0
Answer:
mRT = 4√13 ≈ 14.42
mST = 10√2 ≈ 14.14
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have right triangles, in order to find the missing side, we use Pythagorean Theorem:
mTR:
12² + 8² = c²
144 + 64 = c²
c² = 208
c = √208 = 4√13
mST:
15² = 5² + b²
225 - 25 = b²
b² = 200
b = √200 = 10√2
To get your decimals, simply evaluate the square roots:
4√13 = 14.4222
10√2 = 14.1421
Answer:
55.4068881439
Step-by-step explanation:
Lets first find the feet they walk per day, multiply the steps by the feet/step:

Now lets find the feet/week by multiplying that value by 7:

Now lets convert the feet to km:

Resulting in approximately 55 kilometers