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4 years ago

The algebra tiles represent the perfect square trinomial x2 + 10x + c. What is the value of c?

Mathematics

2 answers:

olchik [2.2K]4 years ago

7 0

Answer:

Step-by-step explanation:

san4es73 [151]4 years ago

4 0

Answer:

the value of c= 25

Step-by-step explanation:

The algebra tiles represent the perfect square trinomial x^2 + 10x + c

To get perfect square trinomial we apply completing the square method

In completing the square method we take half of the coefficient of middle term and then square it

10/2= 5

5^2 = 25

25 make the expression a perfect square trinomial

x^2 + 10x+ 25

so , the value of c= 25

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Simplify the question above

andrey2020 [161]

Answer:

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Step-by-step explanation:

1) Rewrite x² - 9 in the form a² - b² where, a = x and b = 3.

$\frac{ {x}^{2} - {3}^{2} }{ {x}^{2} - 3x}$

2) use difference of squares: a² - b² = ( a + b ) (a - b).

$\frac{(x + 3)(x - 3)}{ {x}^{2} - 3x}$

3) Factor out the common term x.

$\frac{(x + 3)(x - 3)}{ x(x - 3)}$

4) Cancle out x - 3 .

$\frac{x + 3}{x}$

5) Simplify.

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Therefor, the answer is 1 + 3/x.

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Norma-Jean [14]

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Step-by-step explanation: