The translation <u>3 units to the right and 2 units down the plane</u> will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)
<h3>
Translation of coordinates</h3>
Translation is a transformation technique used to change the position of an object on an y-plane.
For instance translating a coordinate (x, y) into (x-3,y -2) means a shift of the image <u>3 units to the right and 2 units down the plane. In </u>order to get the corresponding coordinates, we will subtract 3 from the x-coordinates and 2 from the y-coordinates.
Given the coordinate of the triangle DEF as shown;
ΔDEF
D(2, 3),
E(l, 1), and;
F(4, O)
The translation <u>3 units to the right and 2 units down the plane</u> will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)
Learn more on translation here: brainly.com/question/12861087
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12.2 I believe but I'm not sure
Answer:
Step-by-step explanation:
For the mix you need 60 Ib of nuts and raisins, and 60 lb of mix will sell for $300.
Let <em>x</em> be the weight of nuts and <em>y</em> the weight of raisins needed for the mix.
Total weight = <em>x</em>+<em>y</em> = 60, so <em>y</em> = 60 - <em>x</em>
Total value = 6<em>x</em> + 3<em>y</em> = 300. From the above, we can substitute the <em>y</em> for 60 - x:
Total value = 6<em>x</em> + 3(60 - <em>x</em>) = 300, which we can simplify to:
6<em>x</em> + 180 - 3<em>x</em> = 300, and simplify again to:
3<em>x</em> = 120, and again to:
<em>x</em> = 40. We can now calculate<em> y</em> from the first equation y = 60 - <em>x</em>, so:
y = 20.
40 lb of nuts and 20 lb of raisins. Check:
40 lb x $6/lb = $240, and 20 lb x $3/lb = $60, $240 + $60 = $300.
