Remark
The upper answer is correct. Any time you are dealing with addition or subtraction and one of the numbers is irreducible and remains irrational no matter what you do, then the entire addition or subtraction of terms remains irrational.
For the second one that you did not answer, it works the same way as the comment says.
3√2 * 8√18 give two numbers that can be multiplied under the square root sign.
3*8 = 24
√(2*18) = √(36) = 6
The answer is 24*6 = 144
This procedure is the only way I know that you can get a rational result from two irrational factors. In fact it is really quite useful to know. You will use this when you learn how to rationalize the denominator. This exact method is used to do that.
Answer:
54.16%
Step-by-step explanation:
The percentage of books that are some is 54.16 %
In order to find that answer you would have to calculate the total number of small books (26) over the total number of all of the books (48).
The equation would be 26/48=0.5416 however Multiply that answer by 100 and you would get 54.16% and if you want to round to the nearest whole number it would just be 54%
Answer:
(- 3, - 13 ) and (8, 1 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Both equations are in vertex form
(8)
y = 5(x + 3)² - 13
with vertex = (h, k) = (- 3, - 13 )
(9)
y = (x - 8)² + 1
with vertex = (h, k) = (8, 1 )