This is based on understanding what dilation means in a graph transformation.
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<em>The dilation from first square directly to sixth square will be; (x,y) -> (243, 243)</em>
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- In transformations, dilation of an object involves producing an image of the object that is the same shape but not the same size.
This means that if we want to dilate a square, we will produce a bigger square of a different size.
- We are told one corner of the first square she drew is (2, 2). This means that one side of the square is 2 units as the four sides of a square are equal.
- For the second square, she dilates the first one using (x, y) -> (3x, 3y).
This means the corner that was (2, 2) will now be (3 × 2), (3 × 2) = (6, 6)
- For the third square, it will be; (3 × 6), (3 × 6) = (18, 18)
- For the fourth square, it will be; (3 × 18), (3 × 18) = (54, 54)
- For the fifth square, it will be; (3 × 54), (3 × 54) = (162, 162)
- For the sixth square, it will be; (3 × 162), (3 × 162) = (486, 486)
Since first square was (2, 2), then it means dilation from first square directly to sixth square will be; (x,y) -> (486/2, 486/2)
⇒ (x,y) -> (243, 243)
Read more at; brainly.com/question/2523916
Answer:
x=−2
Step-by-step explanation:
1 Expand.
6-2x-12=3x+4
6−2x−12=3x+4
2 Simplify 6-2x-126−2x−12 to -2x-6−2x−6.
-2x-6=3x+4
−2x−6=3x+4
3 Add 2x2x to both sides.
-6=3x+4+2x
−6=3x+4+2x
4 Simplify 3x+4+2x3x+4+2x to 5x+45x+4.
-6=5x+4
−6=5x+4
5 Subtract 44 from both sides.
-6-4=5x
−6−4=5x
6 Simplify -6-4−6−4 to -10−10.
-10=5x
−10=5x
7 Divide both sides by 55.
-\frac{10}{5}=x
−
5
10
=x
8 Simplify \frac{10}{5}
5
10
to 22.
-2=x
−2=x
9 Switch sides.
x=-2
x=−2
This question is incomplete
Complete Question
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?
a) 2x + 3x + 9
b) 2x + 3 + 9
c) 2x + 3x + 9x
d) 2 + 3x + 9
Answer:
a) 2x + 3x + 9
Step-by-step explanation:
Let the number of points shots a player scores = x
In a free throw, the player scored 9 points = 9
The player also scored a number of 2-point shots = 2x
In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half = 3x
The expression represents the total number of points the player scored in the game =
2x + 3x + 9
Answer:
$67,580.73
Step-by-step explanation:
$49,329÷100=$493.29 (1%)
$493.29×37=$18,251.73 (37%)
$49,329+$18,251.73=$67,580.73
