Let
ba--------> area of bases (<span>the two bases included</span>)
p---------> perimeter of the base
h--------> height of the prism
la-------> lateral area
we know that
[surface area]=2*[area of one base]+[perimeter of the base]*height
so
2*[area of one base]=ba
[surface area]=[ba]+[p]*h
and
the formula of lateral area is
[la]=[perimeter of the base]*height
[la]=[p]*h
therefore
[surface area]=[ba]+[la]
the answer is
[surface area]=[ba]+[p]*h
[surface area]=[ba]+[la]
X+y^2=10
minus x from both sides
y^2=10-x
sub (10-x) for y^2 in other equation
Q=x(10-x)
Q=10x-x^2
now find the maximum value
take the derititive
dQ/dx=10-2x
it is zero at x=5
below that, it is positive
after 5, it is negative
max at x=5
solve for y
y^2=10-x
y^2=10-5
y^2=5
sqrt both sides
y=√5
x=5
y=√5
the max value is 25
the answer is in the photo
The answer would be 0.01 because 1 is one and 0.1 is one tenth.
Emma is running faster than Maggie. The point on the graph where the two lines intersect represents the spot on the running track where Maggie and Emma are at the same distance from the starting point.
Since Emma starts ahead of Maggie, Maggie has to run FASTER to catch up with Emma.
I hope this helps :)
