Answer:
y=9cm
x=90°
Step-by-step explanation:
y=9cm(being perpendicular)
x=90°=being perpendicular)
By applying the definitions of <em>rigid</em> transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).
<h3>How to apply rigid transformations on a point</h3>
Herein we must apply a rigid transformation into a given point to determine an image. <em>Rigid</em> transformations are transformations applied on a <em>geometric</em> locus such that <em>Euclidean</em> distance is conserved. Dilations are a kind of <em>rigid</em> transformations such that:
(x, y) → (k · x, k · y), for k > 0
If we know that Q(x, y) = (0, 2) and k = 0.5, then the coordinates of Q' are:
Q'(x, y) = (0.5 · 0, 0.5 · 2)
Q'(x, y) = (0, 1)
By applying the definitions of <em>rigid</em> transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).
To learn more on dilations: brainly.com/question/13176891
#SPJ1
Answer:
-3
Step-by-step explanation:
3 times 6 is 18
3 times -2x is -6x
put -6x on the other side and divide 18 by -6x and you get -3
Answer:
Ty, you too!
Step-by-step explanation:
Hope you have a good day.
9514 1404 393
Answer:
Step-by-step explanation:
When the 12-cup bag of sugar is divided evenly, each baker gets 6 cups.
There is no dot on Noah"s graph for 6 cups of sugar, so you have to extrapolate the given set of dots to see where it might be. You notice that each dot is 1/2 cup of flour more than the one to its left, so you expect that Noah will use 3 cups of flour for 6 cups of sugar.
__
Similarly, the table for Lin does not have an entry for 6 cups of sugar. Again, the next entry can be figured using the relations between previous entries. Here, each row for sugar goes up by 1 1/2 cups, so the next row would be 4 1/2 + 1 1/2 = 6 cups. And the rows for flour go up by 1 cup, so the next row for flour (for 6 cups of sugar) would be 4 cups of flour.
Lin will use 4 cups of flour for 6 cups of sugar.
__
<em>Alternate solution</em>
The relationship are proportional in both cases, so you can read the value for a smaller amount (2 cups or 3 cups of sugar), then multiply the value by an appropriate multiplier (3 or 2) to get the number of cups of flour for 6 cups of sugar.
Noah: 1 flour for 2 sugar ⇒ 3 flour for 6 sugar
Lin: 2 flour for 3 sugar ⇒ 4 flour for 6 sugar
