The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.
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What is the discriminant of the expression?</h3>
According to the task content; it is required to identify if the expression is prime.
On this note, it follows that the discriminant of the expression can be evaluated as follows;
= 36 -(4× 5 × -2)
= 76.
Hence, the expression is prime since 76 is not a perfect square.
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3 and 1/3 times 2.5 = 8.3(repeating 3) feet
The Pythagorean theorem states:
where a and b are the lengths of the legs and c is the length of the hypotenuse of a right triangle.
Substituting with a = 80 and b = 39, we get:
![\begin{gathered} c^2=80^2+39^2 \\ c^2=6400+1521 \\ c^2=7921 \\ c=\sqrt[]{7921} \\ c=89 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D80%5E2%2B39%5E2%20%5C%5C%20c%5E2%3D6400%2B1521%20%5C%5C%20c%5E2%3D7921%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B7921%7D%20%5C%5C%20c%3D89%20%5Cend%7Bgathered%7D)
