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aleksklad [387]
3 years ago
11

On the set of axes below, Geoff drew rectangle ABCD. He will transform the rectangle by

Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

C, exactly 28 square units

Step-by-step explanation:

This is because it's a translation, not a transformation. The size won't change, and therefore the area won't change. Just the position.

Since the area is 28 and it doesn't change, the answer is C.

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Hope this helps!
7 0
3 years ago
A rectangle with length n and height m. A right triangle with hypotenuse n + 1, length n, and height m.
Oksana_A [137]

9514 1404 393

Answer:

  C. 12cm

Step-by-step explanation:

The equation for the perimeter of the rectangle is ...

  P = 2(L+W)

  34 = 2(n +m)

Solving for m, we get

  m = 17 -n . . . . . . . divide by 2, subtract n

__

The Pythagorean theorem gives the relationship between the sides and the hypotenuse

  m^2 +n^2 = (n+1)^2

  (17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m

  289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses

  n^2 -36n +288 = 0 . . . . . . . put in standard form

  (n -12)(n -24) = 0 . . . . . . . . . factor

  n = 12 . . . . . . . . . . n=24 is an extraneous solution here

The value of n is 12 cm.

8 0
3 years ago
George is reading a book. At the end of 3 hours he has read 90 pages, and at the end of 5
jeka94

Answer:

74 pages/hour

Step-by-step explanation:

The average rate of change is the difference in the numbers of pages  divided by the difference in the numbers of hours.

At the end of 3 hours, 90 pages were read.

At he end of 5 hours, 238 pages were read.

Difference in hours: 5 hours - 3 hours = 2 hours.

Difference in pages: 238 pages - 90 pages = 148 pages

The average rate of change is the difference in pages divided by the difference in hours.

average rate of change = (148 pages)/(2 hours) = 74 pages/hour

5 0
3 years ago
Simplify the expression. Write the answer without using parentheses or negative exponents.
rodikova [14]
\frac{ (x^4 y^2)^5 }{ (x^2 y)^2 } =\frac{ x^{4*5} y ^{2*5} }{ x ^{2*2} y ^2 } =\frac{ x^{20} y ^{10} }{ x^4y^2 } = x^{20-4} *y^{10-2}= x^{16} *y^{8}


5 0
3 years ago
JOIN <br> id 716 2342 9565<br><br> pass Nike4
pickupchik [31]

Answer: sure

Step-by-step explanation:

7 0
3 years ago
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