2 #'s whose sum is 51: x + y = 51
2 #'s whose difference is 13: x - y = 13
add the 2 equations: 2x = 64 ⇒ x = 32
using either equation find y: 32 + y = 51 ⇒ y = 19
Answer the 2 #'s are 32 and 19
Answer:
3
Step-by-step explanation:
Answer:
20 feet long
Step-by-step explanation:
To solve this you need to use the Pythagorean theorum,
, where c is the length of rope needed and A and B are the side lengths. Think of it like a right triangle.
So, the equation is

Which is then


And the possible values of c are 20 and -20.
From here we know the answer cannot be -20 because you cannot have a negatively long length of rope, so the answer must be 20 feet.
Seeing that its a right triangle...
We can use pythagorean theorem.
8^2 + 4^2 = x^2
64 + 16 = x^2
80 = x^2
x = 8.94427191
For this case we have the following expression:

We eliminate the parentheses taking into account that:

We add similar terms:

Different signs are subtracted and the sign of the major is placed:

Finally, the expression is reduced to:

Answer:

Option B