So the distance formula is
. Using this, our equation is
and we can solve for it as such:

As we see with this radical, the sum that's under it is 15^2 + 8^2, or the third option.
The correct answer is c. :)
Hi there!

Since U and V are midpoints of the legs, then UV is the average of both WX and ZY.
Therefore:
(ZY + WX)/2 = UV
Substitute in the given expressions:
[(6x + 5) + (x + 7)]/2 = 8x - 3
Simplify by combining like terms:
(7x + 12)/2 = 8x - 3
Multiply both sides by 2:
7x + 12 = 16x - 6
Subtract 7x from both sides and add 6 to both sides:
18 = 9x
Divide both sides by 9:
18/9 = x
x = 2.
Plug in this value of x into the equation for UV:
8(2) - 3 = 16 - 3 = 13.
Answer:
El coseno del ángulo esta dado por:

Step-by-step explanation:
Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:

Donde:
- CA es el cateto adyacente
- H es la hipotenusa del triángulo
Espero te haya sido de ayuda!