Answer:
by using Pythagoras law
h²=p²+b²
13²=9²+b²
169-81=b²
b=√88=2√22m is your answer
Y = -2.8x +69.4
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
Answer:
When you are "multiplying" exponents, you're really just adding them together. So in the case of (x² ⋅ x⁴), you add the exponents:
2 + 4 = 6
would be the answer.
On the other hand, raising a power to a power, is actually multiplying them. So it would just be:
2 ⋅ 4 = 8
would be the answer.
For a radical with an
even root, like 2 in this case, if the radicand turns to a negative value, the result is just an imaginary value, which is another way to say, there's no such a root, no solution per se.
for that, let's first check when the radicand turns to 0 first.

so, that happens when x = 1, -8(1) +8, is just -8+8 or 0, ok.
so.. if "x" goes a bit higher, like say 2, -8(2) + 8 --> -16 + 8 --> -16
you'd get a negative value, and the radical doesn't have a root for that.
so... the domain, or values "x" can safely take without making the square root expression a negative value, are 1 or below, for example, if we use say -5
-8(-5) + 8 --> 40+8 --> 48 <------ a positive value
thus, (-∞, 1]