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Veronika [31]
1 year ago
11

The coordinates of the preimage of polygon ABCD and the image ofA'B'C'D' are given below. What rule describes the transformation

?A(4,3) B(4,0) C(-1, 1) D(-1, 4)A'(1, 1) B'(1, -2) C'(-4,-1) D'(-4, 2)T-3,-2). T-3,2T-2,-3)T 3,2

Mathematics
1 answer:
I am Lyosha [343]1 year ago
3 0

The coordinates of polygon ABCD are:

A(4,3) B(4,0) C(-1, 1) D(-1, 4)

and

The coordinates of the transformed polygon A'B'C'D' are:

A'(1, 1) B'(1, -2) C'(-4,-1) D'(-4, 2)

To understand the transformed rule, just remove the coordinates of the actual polygon from the transformed polygon.

A' - A = (1, 1) - (4, 3) = (1 - 4, 1 - 3) = (-3, -2)

Similarly,

B' - B = (1, -2) - (4, 0) = (1 - 4, -2 - 0) = (-3, 2)

The same result will be obtained from other points (C and D). Therefore, the first option (-3, 2) is correct.

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The mean of six numbers is 8, and the mean of another four numbers is 5.
Ket [755]

Answer:

6.8

Step-by-step explanation:

8 * 6 = 48 (to reverse dividing by 6 to basically un-average the 6 numbers).

5 * 4 = 20 (to un-average these numbers as well).

48 + 20 = 68

68 / 10 = 6.8

Basically by doing this you are still adding all the numbers together & then dividing by 10 as if you added them all up at once & not in a group of 6 & a group of 4.

Hope this helped. :)

4 0
2 years ago
A rectangular box has length x and width 3. The volume of the box is given by y = 3x(8 – x). The greatest x-intercept of the gra
CaHeK987 [17]

Consider rectangular box with

  • length x units (x≥0);
  • width 3 units;
  • height (8-x) units (8-x≥0, then x≤8).

The volume of the rectangular box can be calculated as

V_{box}=\text{length}\cdot \text{width}\cdot \text{height}.

In your case,  

V_{box}=3\cdot x\cdot (8-x).

Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).

From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.

Then the volume will be V=0 (minimal).

Answer: correct choices are B (the maximum possible length), C (the minimum possible height)

7 0
3 years ago
Can someone help out? or explain? ​
Nataliya [291]
Y = 90 degrees

1) The angles on a straight line add to 180 degrees so 180-110= 70 degrees.

2) The angles in a triangle add to 180 degrees so 70+70= 140 degrees. The angle at the top of the triangle will have to be 40 degrees as 140+40= 180 degrees.

3) As x is half the angle at the top of the triangle (40 degrees), x will equal 20 degrees.

4) As the angles in a triangle add to 180 degrees 20+70=90 degrees 180-90=90 degrees.

5) Answer = 90 degrees

7 0
2 years ago
Round 392 to the nearest ten
Bezzdna [24]
Nearest 10 is according to the last digit.
if the digit is >5, it +1 to the tenth digit. If it's <5, it will be reduced to 0.

for your case, 392, 2 < 5, therefore rounded up to nearest tenth is 390.
5 0
3 years ago
Read 2 more answers
1
kirza4 [7]
Each game was $44.99, if she spent a total of 284.97 and we subtract the cost of the console 284.97 - 194.99 = 89.98, since the two games were equally priced we divide 89.98/2 and get $44.98
8 0
3 years ago
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