Hi!
Square roots where the things under the root are multiplied (for example ) can be split up into .
That's what I'm going to do in this case. I'm going to split into
Now, the cube root of 125 is 5, because 5 * 5 * 5 = 125, and that is the definition of a cube root. (What multiplied 3 times by itself is equal to what's under the root)
Now to look at what the cube root of is.
A cube root can be rewritten as , same as a square root can be rewritten to .
So if you take the cube root of x^12, you can change it to:
If you have a case like this, then you can multiply the two powers (in this case 12 and 1/3) to simplify it. 12 * 1/3 = 4, so you get x^4.
Now putting the two together, you get:
5 as your answer.
Hope this helped!
Answer:
The average speed is 3.866 mph.
Step-by-step explanation:
This is correct
Since this is a right triangle, the sides are related by the Pythagorean theorem. a^2+b^2=c^2
Legs are a and b. Hypotenuse is c. Plugging in the values gives you:
9^2 + 12^2 = x^2
81 + 144 = x^2
X^2 = 225
Taking the square root of both sides gives you x=15
Answer + Step-by-step explanation:
How many male students are there in all? There are 57 male students.
How many female students wear a match? 34 out of 43 females wear a watch.
What is the ratio of female students who wear a match for male students who wear a watch?
34:13 - (34 females wear a watch, and... 13 males wear a watch.)
Answer:
In this equation x² + 3x - 2 = x² - 2x is not a quadratic equation.
Step-by-step explanation:
The equation which contains x² term (In simplified form), then only we can apply quadratic formula.(i.e equation is quadratic)
A. ax² + bx = 0,
Yes , Since x² term is present here ,so we can use quadratic formula.
B. 3x² = -4x - 1
We can simplify this,
i.e 3x² + 4x + 1 = 0
Since x² term is present here ,so we can use quadratic formula.
C. x² = 5
Yes , Since x² term is present here ,so we can use quadratic formula.
D. x² + 3x - 2 = x² - 2x
We can simplify this,
x² - x² + 3x + 2x - 2 = 0
or 5x - 2 = 0
Since x² term is not here ,so we can not use quadratic formula.