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Vladimir [108]
4 years ago
5

Quadrilateral UVWX is reflected over the x-axis to form quadrilateral U′V′W′X′.

Mathematics
1 answer:
hoa [83]4 years ago
4 0

Answer:

U' = (-4,-5)

V' = (-6,-2)

Step-by-step explanation:

Vertex U has coordinates

U = (-4,5)

Vertex V has coordinates

V = (-6,2)

When a quadrilateral is reflected across x- axis the sign of x coordinate remains same and sign of y coordinate changes.

So, U= (-4,5)

then U' is:

U' = (-4,-5)

V = (-6,2)

then V' is

V' = (-6,-2)

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Answer:

150

Step-by-step explanation:

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3 years ago
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Two positive, consecutive, odd integers have a product of 143.
zhannawk [14.2K]

Answer:

<em>The answer is 13</em>

Step-by-step explanation:

Two positive and consecutive old numbers are x and x - 2.

=> x(x - 2) = 143

=> x^2 - 2x - 143 = 0

=> x^2 + 11x - 13x - 143 = 0

=> x(x + 11) - 13(x + 11) = 0

=> (x + 11)(x - 13) = 0

=>  x = -11 (invalid)

or x = 13 (valid), the remaining number is 13 - 2 = 11

=> The two numbers are 11 and 13, and the greater number is 13.

Hope this helps!

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4 years ago
12. Factor completely: 64x^3 + 729
Dafna1 [17]

Answer:

(4 x + 9) (16 x^2 - 36 x + 81)

Step-by-step explanation:

Factor the following:

64 x^3 + 729

64 x^3 + 729 = (4 x)^3 + 9^3:

(4 x)^3 + 9^3

Factor the sum of two cubes. (4 x)^3 + 9^3 = (4 x + 9) ((4 x)^2 - (4 x) 9 + 9^2):

(4 x + 9) ((4 x)^2 - 4 9 x + 9^2)

4×9 = 36:

(4 x + 9) ((4 x)^2 - 36 x + 9^2)

Multiply each exponent in 4 x by 2:

(4 x + 9) (4^2 x^2 - 36 x + 9^2)

4^2 = 16:

(4 x + 9) (16 x^2 - 36 x + 9^2)

9^2 = 81:

Answer: (4 x + 9) (16 x^2 - 36 x + 81)

5 0
4 years ago
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Answer:

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x+6-6=66-6

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You need $2,500 as a deposit for a new car. You have already saved 50% of this amount. Which calculation could you use to check
Taya2010 [7]

well, 50% is pretty much half.


you need 2500 for the deposit, you have 50% or half of that.


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50% of 2500 is just (50/100) * 2500 or 0.5 * 2500 or 1250.


how much more do you need? well, you need the other 50%.


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