Answer: Second option.
Step-by-step explanation:
As you can observe in the picture given in the exercise, there are two Right triangles formed inside the rectangle: CDA and ABC.
You need to use the Pythagorean Theorem to solve this exercise. This is:
Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.
If you solve for one of the legs, you get the following equation:
In this case, you can identify in the figure that:
Finally, you must substitute these known values into the equation 
and then evaluate in order to find the value of "x". You get that this is:
The answer is -5
Step-by-step explanation:
First, let's understand about what are rational number and Integer.
Both rational and Integer are part or rather say subset of Real Number. Real Number can be broken into these categories:
I will not talk about Irrational since It is a bit off-topic for the question.
Rational can be broken into:
- Integer (Positive, Zero and Negative)
- Fraction
Integer is a subset of Rational Number and Real Number. But what is really Integer?
Integer is a whole number or any numbers that don't have decimal, fraction. Integer can be ...,-4,-3,-2,-1,0,1,2,3,4,...
The three dot symbol refers to being endless or countable infinity.
Now that you see Integer cannot be fraction, decimal.
Therefore, the answer is -5
Answer:
8 x^-2
Step-by-step explanation:
2 sqrt(x) * 4x ^ -5/2
Rewriting
2 x^1/2 * 4x ^ -5/2
2*4 = 8
x^1/2 * x^ -5/2
We know a^b * a^c = a^(b+c)
x^ 1/2 * x^ -5/2 = x^ (1/2 -5/2 ) = x^ (-4/2) = x^-2
8 x^-2
Answer:
1/40
Step-by-step explanation:
You have to find the amount of distance they traveled since the start of the journey. 3/5 + 3/8 is 39/40. How did we get that, you may ask?
We need to find a number that both 5 and 8 have to make. That can be 40. But how we made 5 and 8 40, we need to do the same to the top numbers. So 39/40 when we add them up. Finally, we need to substract that from the whole, and this gets you 1/40. Hope this helps.
Have a wonderful day, my friend.
