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3 years ago

For what value of a is a(2x+3)=9x+15+x an identity?

Mathematics

1 answer:

dem82 [27]3 years ago

6 0

Answer:

Expand the left side, group like terms on both sides, and get

(2a)x + 3a = 10x + 15

To be true for all x, equate like terms from both sides and get

2a = 10

3a = 15

Solution: a = 5

You can test the answer.

Step-by-step explanation:

Expand the left side, group like terms on both sides, and get

(2a)x + 3a = 10x + 15

To be true for all x, equate like terms from both sides and get

2a = 10

3a = 15

Solution: a = 5

You can test the answer.

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3 years ago

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Stella [2.4K]

The values are $x=8$ and $y=10$

Explanation:

From the figure, we can see that the two quadrilaterals are similar.

Thus, by the property of quadrilateral, for similar quadrilaterals, their corresponding angles and sides are congruent. Thus, we have,

∠D = ∠S, ∠E = ∠P, ∠G = ∠R and ∠F = ∠Q

Also, GF = QR and DE = PS

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3 years ago

Factor the expression x^4 -1 using the polynomial identify x^2-y^2)=(x-y)(x+y)

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Answer:

(x - 1)(x + 1)(x² + 1)

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Step 1: Factor Difference of Squares

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(x - 1)(x + 1)(x² + 1)

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3 years ago

For what value of a​ is a(2x+3)=9x+15+x an identity?

For what value of a is a(2x+3)=9x+15+x an identity?