Answer:
69,286,455 cu inches
Step-by-step explanation:
<u>Step 1: Convert yards to inches</u>
1 cu yard = 46656 cu inches
11 cu yard = y cu inches
<em>Cross multiply</em>
y = 11 x 46656
y = 513216 cu inches
<u>Step 2: Find total inches</u>
513216 + 17 = 513233 cu inches
<u>Step 3: Multiply total inches by 135</u>
513233 x 135 = 69,286,455 cu inches
!!
The <u>correct answer</u> is:
B) A 90° counterclockwise rotation about the origin, followed by a reflection across the x-axis, followed by a translation 8 units right and 1 unit up.
Explanation:
The coordinates of the <u>points of the pre-image</u> are:
(3, 1)
(3, 4)
(5, 7)
(6, 5)
(6, 2)
The coordinates of the <u>points of the image</u> are:
(7,-2)
(4,-2)
(1,-4)
(3,-5)
(6,-5)
A 90° counterclockwise rotation about the origin negates the y-coordinate and switches it and the x-coordinate. Algebraically,
(x,y)→(-y,x).
When this is applied to our points, we get:
(3, 1)→(-1, 3)
(3, 4)→(-4, 3)
(5, 7)→(-7, 5)
(6, 5)→(-5, 6)
(6, 2)→(-2, 6)
A reflection across the x-axis negates the y-coordinate. Algebraically,
(x, y)→(x, -y).
Applying this to our new points, we have:
(-1, 3)→(-1, -3)
(-4, 3)→(-4, -3)
(-7, 5)→(-7, -5)
(-5, 6)→(-5, -6)
(-2, 6)→(-2, -6)
A translation 8 units right and 1 unit up adds 8 to the x-coordinate and 1 to the y-coordinate. Algebraically,
(x, y)→(x+8, y+1).
Applying this to our new points, we have:
(-1, -3)→(-1+8,-3+1) = (7, -2)
(-4, -3)→(-4+8,-3+1) = (4, -2)
(-7, -5)→(-7+8,-5+1) = (1, -4)
(-5, -6)→(-5+8,-6+1) = (3, -5)
(-2, -6)→(-2+8,-6+1) = (6, -5)
These match the coordinates of the image, so this is the correct series of transformations.
Answer:
D
Step-by-step explanation:
The upper quartile is the range given by the right most T-on-its-side shape.
The value of |x| + 2 is always positive and greater than |x|.
The correct question is as below:-
Use complete sentences to explain why |x| + 2 > |x|.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression is as follows:-
|x| + 2 > |x|.
Here x is in the mode so any number either negative or positive it will always give you a positive number. For an example put x = -5 in the above expression.
|-5| + 2 > | -5 |
5+ 2 > 5
7 > 5
Put -1 at the place of x
|-1| + 2 > |-1|
1 + 2 > 1
3 .> 1
As we can see in the above two examples for every value of x there will be a positive number and the value of |x|+2 is always greater than |x|.
Therefore the value of |x| + 2 is always positive and greater than |x|.
To know more about expression follow
brainly.com/question/723406
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