You take out the squares inside of the radicals. you can do this by factoring each number. 90 is a multiple of 3x3x2x5 and 40 is 2x2x2x5. now you take out pairs. so its (3√2x5)/(2√2x5). then you cancel out the √2x5 and you're left with 3/2. :)
Answer:
none of the above
Step-by-step explanation:
area = 98 cm²
the area of a rectangle = length × width
here length = 14 and width = 7
area = 14 × 7 = 98 cm²
Answer:
I think it's c
Step-by-step explanation:
because a*1=1
All of the other statements are incorrect because for one a+0=0 Only 0 can = 0
A*0=1? A number times 0 is always going to be zero
A+1=1? Only 0 is the only number that a number plus 0 is the same number
If <em>x</em> + 1 is a factor of <em>p(x)</em> = <em>x</em>³ + <em>k</em> <em>x</em>² + <em>x</em> + 6, then by the remainder theorem, we have
<em>p</em> (-1) = (-1)³ + <em>k</em> (-1)² + (-1) + 6 = 0 → <em>k</em> = -4
So we have
<em>p(x)</em> = <em>x</em>³ - 4<em>x</em>² + <em>x</em> + 6
Dividing <em>p(x)</em> by <em>x</em> + 1 (using whatever method you prefer) gives
<em>p(x)</em> / (<em>x</em> + 1) = <em>x</em>² - 5<em>x</em> + 6
Synthetic division, for instance, might go like this:
-1 | 1 -4 1 6
... | -1 5 -6
----------------------------
... | 1 -5 6 0
Next, we have
<em>x</em>² - 5<em>x</em> + 6 = (<em>x</em> - 3) (<em>x</em> - 2)
so that, in addition to <em>x</em> = -1, the other two zeros of <em>p(x)</em> are <em>x</em> = 3 and <em>x</em> = 2