Answer:
Step-by-step explanation:
Diagonal AC=6
Diagonal BD=8
area=(AC×BD)/2=(6×8)/2=24 sq. units
Answer:
1/216
Step-by-step explanation:
x^(-3)y^(-3)
(2)^(-3)=1/2^3=1/8
(3)^(-3)=1/3^3=1/27
(1/8)(1/27)=1/216
Step-by-step explanation:
as I don't see any equations or graphs here I can only answer in general :
f(x) is the patent function.
g(x) is the transformed function.
g(x) = -6f(x-7)
the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).
the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).
and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.
Volume of the prism:
V = B · h, where B stays for the area of the base and h stays for the height of the prism. And we know that d1 = 8, d2 = 6
B = ( d1 · d2 ) / 2 = ( 8 · 6 ) / 2 = 48 / 2 = 24
V = 24 · 16 = 384
Answer:
The volume of the prism is 384 cubic units.
b) five more than m
"m in addition to 5"= m+5