On a coordinate plane, 2 triangles are shown. The first triangle has points X (2, 5), Y (2, 3), Z (4, 3). The second triangle has points X prime (negative 2, negative 5), Y prime (negative 2, negative 3), Z prime (negative 4, negative 3). What are the vertices for the final image after applying the composition T−2,4 ◦ RO,180° to ΔXYZ?

X'' is
.

Y'' is
.

Z'' is
.

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

Ernest is purchasing a $175,000 home with a 30-year mortgage. he will make a $15,000 down payment. use the table below to find his monthly pmi payment.

When only separate discreet points are graphed it is called?