What is the sum of the solutions to the following equation?

\(x^2 − 23x + 130 = 0\)

Given that \(x \gt 0\) and \(y \lt 0\), which of the following must be true?

A moving company charges a flat base fee of $45 for a truck rental, plus an additional $0.80 for each mile driven. If a customer rented a truck and the total cost of the rental before taxes was $117, how many miles did the customer drive the truck?

If \(9^{(x + 2)} = 27^{(x − 1)}\), what is the value of \(x\)?

For the imaginary number \(i\), where \(i = \sqrt{(−1)}\), which of the following is equivalent to the product \((3 + 2i)(4 − i)\)?

If the side length of a square is \(z\) units, what is the length of its diagonal in terms of \(z\)?

In right triangle \(PQR\), the right angle is at \(Q\). The length of side \(PQ\) is 5 inches, and the length of side \(QR\) is 12 inches. What is the value of the sine of angle \(P \) ?

In triangle \(ABC\), line segment \(DE\) is drawn parallel to side \(BC\), with point \(D\) on side \(AB\) and point \(E\) on side \(AC\). If the length of \(AD\) is 4, the length of \(DB\) is 6, and the length of \(BC\) is 15, what is the length of line segment \(DE \) ?

What is the center of the circle given by the equation \(x^2 + y^2 − 8x + 14y + 40 = 0\) in the standard \((x,y)\) coordinate plane?

Which of the following represents the solution set for the inequality \(|2x − 3| \lt 7\) ?