Small cubes of side 1 cm are stuck together to form a large cube of side 4cm. Opposite faces of the large cube are painted the
same colour, but adjacent faces are different colours. The three
colours used are red, black and green.
(a) How many small cubes have just one red and one green
face?
(b) How many small cubes are painted on one face only?
(c) How many small cubes have one red, one green and one
black face?
(d) How many small cubes have no faces painted?

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c

vertical asymptote .

horizontal asymptote .

step-by-step explanation:

given function is .

vertical asymptote is given by setting

denominator =0

when degree of numerator and denominator are same then divide first term of numerator by first term of denominator to get horizontal asymptote.