Point Q lies on segment ST, where point S is located at (- 3, - 3) and location of point T is unknown. If SQ : QT = 4 : 3, and point Q is located at (3, 0) on the segment ST, select a place on the coordinate grid to plot point T and name its coordinate.

The location of point T is . Graph is included at the end of the explanation as attachment.

Step-by-step explanation:

The SQ : QT ratio means that there are 4 units of SQ for each 3 units of QT. Vectorially speaking, we notice that:

(Eq. 1)

(Eq. 2)

Now, we eliminate by equalizing (Eq. 1) and (Eq. 2):

(Eq. 3)

From Linear Algebra, we know that:

(Eq. 3b)

And we clear

If we know that and , then we have that is:

At last we plot the segment with all points described on statement. We can check the result in the attachment set below.

idk

step-by-step explanation:

use that smart brain