Answer:
m=-3
Step-by-step explanation:
3-2(9+2m)=m
3-2(9)-2(2m)=m
3-18-4m=m
-15-4m=m
-15=m+4m
5m=-15
Divide by 5
5m/5=-15/5
m=-15/5
m=-3
To check if correct, subsitute m for -3 in the equation. And both sides of the equation must be equal
3-2(9+2m)=m
3-2(9+2(-3))=-3
3-2(9-6)=-3
3-2(3)=-3
3-6=-3
-3=-3
Step-by-step explanation:
We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.
Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.
We know that
scale factor=1/4
so
volume of the smaller pyramid=[scale factor]³*volume original pyramid
volume original pyramid=192 unit³
volume of the smaller pyramid=[1/4]³*192---> (1/64)*192----> 3 units ³
the answer is
3 units³
Answer:
r= -sec(θ) x ∛2
θ=0
Step-by-step explanation: