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alexdok [17]
3 years ago
8

Factor the perfect square trinomial 25x^2-60x+36

Mathematics
1 answer:
zaharov [31]3 years ago
4 0

Since it is a perfect square trinomial, it is of the form:

a^2x^2-2abx+b^2 which simplifies to (ax-b)^2

Therefore:

sqrt(a)=sqrt(25)=5

sqrt(b)=sqrt(36)=6

Plug in a and b:

(ax-b)^2

(5x-6)^2

Test to make sure it did fit the formula:

-2abx=-60   (where x is 1)

-2(5)(6)=-60

-2(30)=-60

-60=-60

Answer:

(5x-6)^2

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46°
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m ∠D = 29°

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Step-by-step explanation:

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If two triangles are similar then measure of their corresponding angles are equal.

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m ∠S + m ∠T + m ∠U = 180°

29° + m ∠T + 46° = 180°

75° + m ∠T = 180°

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