Question

what is the solution of the equation $sqrt{x}-9=8?$a. 1b. 25c. 34d. 289#2: reviewlet $d$ be a function of $t$. the given graph of the function models the distance, $d$ meters, left to hike on a trail $t$ minutes since beginning the hike. it took a total of 13 minutes to hike the 860-meter trail. one of the following intervals is the domain of the function. which one?a. $0,13$b. $left0,66\frac{2}{13}
ight$c. $left0,436\frac{1}{2}
ight$d. $0,860$

Explanation:

Step1: Isolate the square root term

Add 9 to both sides of the equation.
$\sqrt{x} - 9 + 9 = 8 + 9$
$\sqrt{x} = 17$

Step2: Eliminate the square root

Square both sides of the equation.
$(\sqrt{x})^2 = 17^2$
$x = 289$

Step3: Identify the function's domain

The domain is valid $t$ values. $t$ starts at 0, ends at 13.
Domain: $[0, 13]$

Answer:

1. D. 289
2. A. $[0, 13]$