True.
The Pythagorean theorem is a^2 + b^2 = c^2 where a^2 and b^2 are the two legs of the triangle (two sides connected by the right angle) and c is the hypotenuse (longest side, opposite the right angle).
To solve using the Pythagorean theorem, plug in sides AC and CB into a and b, then solve for c.
23^2 + 31^2 = c^2
529 + 961 = c^2
c^2 = 1490
c = √1490 = 38.601
I hope this helps!
Alright, we're in the home stretch here :) All you need to remember is that i² = -1. Otherwise, it is the same as FOIL
(3-2i)(1+7i)
3-2i+21i-14i² ← Replace the i² with -1, then simplify like numbers
3+19i+14
17+19i or C
Answer:
The slope of the line is 1/2
<span>(3 x 1000) + (16 x 10) + (7 x 1) = 3167. In standard form, this is 3.167 x 10^3. </span>
are all real numbers
we're translating the function horizontally, so the range remains the same
we're stretching the function horizontally, so the range doesn't change
we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.