Answer: B
Step-by-step explanation:
The question is asking for you to use the Pythagorean Theorem in order to find the length or line AB.
a^2+b^2=c^2
Since AB is what we are trying to find in this situation it is c. The graphic shown tells us that the length of line CA= (y2-y1) and CB= (x2-x1), these numbers represent a and b in the expression shown above. From here you should implement the information into the equation.
(x^2-x^1)^2+(y2-y1)^2= AB
The next step in finding the product would be to square both sides of the equation. In this case we only need to square the side with the calculation because the variable AB already represents the answer you would calculate. Which leaves us with the answer shown in the image below.
Hint: it will help to change all denominators to the same one using gcf or lcm
Answer:
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
The numerator of a rational number is greater than its denominator by 3. It means that
x = y + 3
If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that
3x/(y - 23) = 13/4
Cross multiplying, it becomes
3x × 4 = 13(y - 23)
12x = 13y - 299- - - - - - - - - - -1
Substituting x = y + 3 into equation 1, it becomes
12(y + 3) = 13y - 299
12y + 36 = 13y - 299
13y - 12y = 36 + 299
y = 335
x = y + 3 = 335 + 3
x = 338
The original number is 338/335
Answer:
answers us a because that's the less sign and 1 is less than 2