Triangle qrs is dilated according to the rule do,2 (x, y). what is true about the image △q'r's'? check all that apply. do,2 (x, y) = (2x, 2y) side q's' lies on a line with a slope of -1. qr is longer than q'r'. the vertices of the image are closer to the origin than those of the pre-image. the distance from q' to the origin is twice the distance from q to the origin.

Given: Coordinates of ΔQRS are Q( -3, 3 ), R( 2, 4 ) and S( -1, 1 )

and Dilated accordint to rule DO,2(x,y) means New ΔQ'R'S' is twice the size of ΔQRS. here Dilation factor is 2.

1.) let the coordinates of ΔQRS is ( x, y ) and the dilation factor is 2.

⇒ coordinates of ΔQ'R'S' = 2 ( x, y ) = ( 2x, 2y )

∴ Coordinates of ΔQ'R'S' are Q' ( -6, 6 ), R'( 4, 8 ) and S'( -2, 2).

Thus the first option is true.

2.)

Equation of line QS (using Point-Slope form) is,

Equation of line Q'S' (using Two-Point form) is,

so, Line Q'S' will lie on the same line as line QS whose slope is -1.

Thus the second option is true.

3.) QR cannot be longer than Q'R' as the size of the ΔQ'R'S' is twice the size of the ΔQRS.

Thus the third option is not true.

4.) The vertices of the ΔQ'R'S' cannot be closer to the origin than those of the ΔQRS as the distances from O to the vertices of the ΔQ'R'S' are twice the distances from O to the ΔQRS.

Thus the fourth option is not true.

5.) The distance from Q' to the origin is twice the distance from Q to the origin as the distances from O to the vertices of the ΔQ'R'S' are twice the distances from O to the ΔQRS.

Thus the fifth option is true.

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950