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andreev551 [17]
3 years ago
10

What is the fully factored form of the expression 16x^2 - 49y^2

Mathematics
1 answer:
podryga [215]3 years ago
6 0

Answer:

(4x + 7y)(4x - 7y)

Step-by-step explanation:

Rewrite 16 as 4^2

= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

= 4^2x^2 - 7^2y^2

Apply the Exponent Rule Pt 1  ((a^m*b^m =(ab)^m))

= (4x)^2 - 7^2y^2

Apply the Exponent Rule Pt 2

= (4x)^2 - (7y)^2

Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

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A plant can manufacture 50 golf clubs per
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Answer:

The correct equation is "y=30x+6147". A further explanation is given below.

Step-by-step explanation:

The given values are:

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As we know,

The slope is,

⇒ m=\frac{y2-y1}{x2-x1}

On substituting the given values, we get

⇒     =\frac{9147-7642}{100-50}

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On adding "7647" both sides, we get

⇒ y-7647+7647=30x-1500+7647

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