LaTex Array

Find the solution to the following system.
$\left \{ \begin{array}{cc} {y}={2}{x}+{8}\\{3}{x}-{2}{y}={-14} \end{array} \right.$

A. ${x}={-2}, \;{y}={-4}$
B. ${x}={-4}, \;{y}={2}$
C. ${x}={4}, \;{y}={-2}$
D. ${x}={2}, \;{y}={4}$
E. ${x}={-2}, \;{y}={4}$

For-Commando

When there are $4$ points on the circle, how many triangles can be formed connecting three points?

A. $24$
B. $4$
C. $64$
D. $12$
E. $8$

Talker

What is the area of the rectangle with base 4 and height 3 shown below?

A. 15
B. 8
C. 9
D. 12
E. 16

plotter

Consider the following scatterplot of midterm and final exam scores for a class of 18 students.
Which of the following is incorrect?
A. Students who scored higher on the midterm exam tended to score higher on the final exam.
B. No one scored 90 or above on both exams.
C. The coefficient of determination here is positive.
D. The same number of students scored 100 on the midterm exam as scored 100 on the final exam.
E. The scatterplot shows a moderate negative correlation between midterm and final exam scores.

transformer

Christine is experimenting with transformations by drawing the original triangle with a thin line, and the transformed triangle with a thick line.

Which of the following is not true about this transformation?
A. The corresponding pairs of sides are equal in length
B. The corresponding pairs of angles are equal
C. The transformation for a triangle includes a translation
D. The transformation for a triangle includes a reflection across $y$ axis
E. The corresponding pairs of segments are parallel