Question

What are the coordinates of point X if it is located 23 of the way from A to B ? (1 point) Responses X(4,83) upper X left parenthesis 4 comma Start Fraction 8 over 3 End Fraction right parenthesis X(263,5) upper X left parenthesis Start Fraction 26 over 3 End Fraction comma 5 right parenthesis X(83,10) upper X left parenthesis Start Fraction 8 over 3 End Fraction comma 10 right parenthesis X(163,113) upper X left parenthesis 6 comma Start Fraction 11 over 3 End Fraction right parenthesis

Answer 1

To find the coordinates of point $X$ that is located $\frac{23}{100}$ of the way from point $A$ to point $B$, we need to first understand the process.

Assume you have the coordinates of point $A$ as $(x_A,y_A)$ and point $B$ as $(x_B,y_B)$. The formula for the coordinates of point $X$ located $\frac{p}{q}$ of the way from $A$ to $B$ is:

$$X=(x_A+\frac{p}{q}(x_B-x_A),y_A+\frac{p}{q}(y_B-y_A))$$

In this case, since we don't have specific coordinates for $A$ and $B$, we can substitute for $p=23$ and $q=100$.

Proceeding to endorse this with the given options and determining which represents coordinates $X$:

1. $X(4,83)$
2. $X(4,\frac{8}{3})$
3. $X(263,5)$
4. $X(\frac{26}{3},5)$
5. $X(83,10)$
6. $X(\frac{8}{3},10)$
7. $X(163,113)$
8. $X(6,\frac{11}{3})$

Without specific values for points $A$ and $B$, it's not possible to compute the precise coordinates of $X$. However, if you suspect a choice among these given responses to represent a solution of being $\frac{23}{100}$ of the distance from $A$ to $B$, you can deduce:

If any assumptions were made giving us candidates to be analyzed, e.g., if $A$ were $(0,0)$ and $B$ were $(10,100)$,

We need to assume possible values for $A$ and $B$ to evaluate the coordinates; however with simply the options provided all statements show plausible coordinate solutions through restrictions following linear mappings from different segmentations along the line between two identified endpoints.

Hence if you can confirm the starting coordinates $A$ and $B$, we could calculate accurately or verify which options match closest properties of obtained coordinates from the equation constructed.

In conclusion, without specific coordinates, we cannot definitively identify point $X$. Please specify $A$ and $B$ for proper resolution.