answer:
I think that the right answer is the first, because:
- 6 + 1.5r = - 12
+ 1.5r = -12 + 6
1.5/1.5 = - 6
r = - 6
Answer:
-1 and -5
Step-by-step explanation:
You must account for negative u values (which the abs nullifies).
So 
and 
is what we have to solve for.
As for usual equations, isolate the u variable.
5u + 15 = 10
5u + 15 (-15) = 10 (-15)
5u = -5
u = -1
Now you can do the same operation for the other equation and you should get u = -5.
Let's make sure we did it right by replacing u with one of our solutions (-1 or -5).
That's true. What about the other one?
Answer:
Six
Step-by-step explanation:
There are six equilateral triangles in a regular hexagon.
Answer:
c=−3 or c=7
Step-by-step explanation:
Step 1: Cross-multiply.
c/3= 7/c−4
c*(c−4)=(7)*(3)
c2−4c=21
Step 2: Subtract 21 from both sides.
c2−4c−21=21−21
c2−4c−21=0
Step 3: Factor left side of equation.
(c+3)(c−7)=0
Step 4: Set factors equal to 0.
c+3=0 or c−7=0
c=−3 or c=7
Given that the plane is perpendicular to the vector <1,2,5>, this means that the normal vector of the plane is <1,2,5>.
Given that the plane passes through point (5,5,3), the equation of the plane is therefore:
Π : 1(x-5)+2(y-5)+5(z-3)=0
on simplifying, x-5+2y-10+5z-15=0
Π : x+2y+5z=30
