Answer: 6.403 miles; or, write as: 6.403 mi. .
__________________________________________________
Explanation:
_________________________________________________
5
--------------------------------------------
` right angle |_ |
` (right triangle ) |
` | 4
` |
`
"c" ` \
(hypotenuse) Starting point
__________________________________________________
Since we have a "right triangle, we solve for "c"; using the
"Pythagorean theorem" ;
_______________________________________________________
→ a² + b² = c² ; Solve for "c" ; our answer (in "miles"; or, "mi.") ;
__________________________________________________
Given : a = 4; b = 5 ;
____________________________
Plug these known values into our equation:
________________________________________
→ 4² + 5² = c² ;
____________________________
→ 16 + 25 = c² ; ↔ c² = 16 + 25 ;
______________________________
→ c² = 41 ;
_______________________________
→ Take the positive square root of each side of the equation (since the side of a "triangle" cannot be "negative";
__________________________________
→ √(c²) = √(41) ;
_____________________________
→ c = √41 ; Use calculator;
________________________________
→ c = 6.40312423743 ; Round to:
→ c = 6.403 miles; or, 6.403 mi.
__________________________________________
Answer:
It's A: The points have the same x-coordinate value.
If you would like to find the value of a in the polynomial, you can do this using the following steps:
(y - 4)(y^2 + 4y + 16) = y^3 + 4y^2 + 16y - 4y^2 - 16y - 64 = y^3 + 4y^2 + ay - 4y^2 - ay - 64
a = 16
The correct result would be 16.
