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Aleonysh [2.5K]
4 years ago
7

Which binomial is a factor of49x^2+84xy+36y^2

Mathematics
1 answer:
Alex17521 [72]4 years ago
3 0

Answer:

(7 x + 6 y)^2

Step-by-step explanation:

Factor the following:

49 x^2 + 84 x y + 36 y^2

The coefficient of x^2 is 49 and the coefficient of y^2 is 36. The product of 49 and 36 is 1764. The factors of 1764 which sum to 84 are 42 and 42. So 49 x^2 + 84 x y + 36 y^2 = 49 x^2 + 42 x y + 42 x y + 36 y^2 = 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

7 x (7 x + 6 y) + 6 y (7 x + 6 y)

Factor 7 x + 6 y from 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

(7 x + 6 y) (7 x + 6 y)

(7 x + 6 y) (7 x + 6 y) = (7 x + 6 y)^2:

Answer: (7 x + 6 y)^2

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a student earned a grade of 80% on a math test that had 25 problems. how many problems on this test did the student answer corre
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6 0
3 years ago
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Help with full calculations
aev [14]

Answer:

  2.  (b) ∠ZYX

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Step-by-step explanation:

2. An angle is named by naming the two rays that make it up. The vertex (common end point of the two rays) is named in the middle.

Here, the rays making the angle are YX and YZ. The angle could be named either ∠XYZ or ∠ZYX.

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3. Points not on the same line are <em>noncollinear</em>. Point E does not lie on line AB, so points A, B, and E are noncollinear.

4 0
3 years ago
Express each percent as a fraction: 15.17%=
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8 0
4 years ago
the london eye, a ferris wheel in England, has a diameter of 120 meters. This wheel completes a full rotation in 30 minutes at a
hram777 [196]
Given in the problem is the diameter of the Ferris Wheel.

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4 0
4 years ago
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