Question

the point t is the mid - point of sv. find the location of v. location of v:

Explanation:

Step1: Recall mid - point formula

The mid - point formula for a number line is $T=\frac{S + V}{2}$, where $T$ is the mid - point of the line segment with endpoints $S$ and $V$.

Step2: Rearrange the formula to solve for $V$

We can rewrite the formula as $2T=S + V$, then $V = 2T−S$.

Step3: Substitute the given values

Given $S=-19$ and $T = - 7$. Substitute these values into the formula: $V=2\times(-7)-(-19)$.

Step4: Simplify the expression

First, calculate $2\times(-7)=-14$. Then, $V=-14 + 19$.

Step5: Get the final result

$V = 5$.

Answer:

$5$