Lesson 8.1 & 8.2 Check in

A toy car's starting point is at  $\left(3,-7\right)$   and it moves with a constant velocity (which is posted as a diagram) where  $t\ge0$  .  How fast is the toy car moving? (Round to 3 decimal places.)

A toy car's starting point is at  $\left(3,-7\right)$   and it moves with a constant velocity (which is posted as a diagram) where  $t\ge0$  .  How many seconds will it take to pass through point  $\left(-10,\ -1.8\right)$  ?  (Write the numerical value as a decimal.)

A toy car's starting point is at  $\left(3,-7\right)$   and it moves with a constant velocity (which is posted as a diagram) where  $t\ge0$  .  Determine the rectangular equation for this line segment.  Express your answer in the form: Ax+By=C.  

A toy car's starting point is at  $\left(3,-7\right)$   and it moves with a constant velocity (which is posted as a diagram) where  $t\ge0$  .  What was the domain for the rectangular equation of this line segment? 

•  $x>3$  

•  $x\ge3$  

•  $x\le3$  

•  $x<3$  

A toy car's starting point is at  $\left(3,-7\right)$   and it moves with a constant velocity (which is posted as a diagram) where  $t\ge0$  .  Suppose the domain for the parameter in the vector was changed to  $t<-1$  .  Identify the new domain for the rectangular equation. Use inequality signs to answer the question.

Parallelogram ABCD has vertices A(-6, 2), B(-4, 5), C(3, 0) and D(1, -3). Calculate the smallest angle measure between its diagonals. Round answer to 3 decimal places.

Line XY passes through  $X\left(0,-3\right)$  and  $Y\left(3-2x,\ 0\right)$  .  Line OZ passes through the origin, O, and  $Z\left(-2,\ x^2+x\right)$  and is perpendicular to line XY.  Solve for x.  List answer(s) in EXACT form. If more than one answer, separate answers with a comma and NO spaces.