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lukranit [14]
3 years ago
12

Rectangle ABCD has vertex coordinates A(–1, –1), B(–1, –3), C(–4, –3), and D(–4, –1). It is translated 4 units to the right and

reflected across the line y = x. What are the coordinates of A"B"C"D"?
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

the translation takes the point A ( -1, -1)  to (-1+4, 1) =  (3, 1)

The refection in y = x  'flips' the points so  (3, 1) becomes  (1, 3) = A"

Do the same procedure for the other points to get the answer

(you should get B" =  (-3, 3) )

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Sam can mow a lawn in 40 minutes. Melissa can mow the same lawn in 80 minutes. How long does it take for both Sam and Melissa to
Sidana [21]

Answer:

It will take them both 24 minutes to mow the lawn if they are working together.

Step-by-step explanation:

Given that Sam can mow a lawn in 40 minutes, and Melissa can mow the same lawn in 80 minutes, to determine how long does it take for both Sam and Melissa to mow the lawn if they are working together, the following calculation must be performed:

1/40 + 1/60 = 1 / X

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Thus, it will take them both 24 minutes to mow the lawn if they are working together.

4 0
3 years ago
The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?
nignag [31]

Answer:

B. g(x)=(x+7)^2-3

Step-by-step explanation:

Vertex form is F(x)= a(x-h)^2+k

a is the reflection

h and k are the vertex (x,y) = (h,k)

in this case there is no shrink or stretch (a)

if it is translating left or right it is "h". In this case it is translated left so its -7.  However if you look at vertex form it is "x-h" so -7-7= +7

If it translating up or down it is "K".  In this case it is translated down so its -3.  

If it was translated up or right then its positive.  If it was translated down or left its negative.

After you figure out what h and k are then you just plug it in.  h=-7, k=-3

so the answer in vertex form is, g(x)=(x+7)^2-3

5 0
2 years ago
The volume of a box is given by V = 2x3-11x2 +10x +8. One side is (x - 4) and another side is (2x + 1).
user100 [1]

Answer:

The length of the third side is ( x - 2 )

Step-by-step explanation:

Volume of a box is the product of its length, width and height.

Volume of box = length × width × height.

One side is (x - 4) and another side is (2x + 1).

These given sides can be either length, height or width.

The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.

Product of the two given sides =

( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4

= 2x^2 - 7x - 4

The long division is shown on the attached photo

The length of the third side is ( x - 2 )

4 0
3 years ago
Read 2 more answers
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