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Vikki [24]
2 years ago
13

Choose the correct product of (8x − 4)(8x 4). 64x2 − 16 64x2 16 64x2 − 64x 16 64x2 64x 16

Mathematics
1 answer:
Sidana [21]2 years ago
3 0

The product of (8x - 4)(8x + 4) is 64x^2 - 16.

According to the given question.

We have an expression

(8x - 4)(8x + 4)

To find the product of the given expression we will use the identity of algebra

(a - b)(a + b) = a^2 - b^2

Therefore,

The product of (8x - 4)(8x + 4) is given by

(8x - 4)(8x + 4)

= (8x)^2 - (4)^2   (by using identity (a - b)(a + b) = a^2 - b^2)

= 64x^2 - 16

Hence, the product of (8x - 4)(8x + 4) is 64x^2 - 16.

Find out more information about how to find product here:

brainly.com/question/16950315

#SPJ4

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Triangle ABC has a right angle at C. Select all measurements which would mean it has a hypotenuse with a length of 10 units. a.
Delvig [45]

Option d: Angle A is 30 degrees, BC is 5 units

Option e: AC is 8 units, BC is 6 units

Explanation:

The triangle ABC has a right angle at C.

The length of the hypotenuse is 10 units.

The image of the triangle with this measurement is attached below:

Option a: Angle A is 20 degrees, BC is 2 units

\begin{aligned}\sin 20 &=\frac{2}{h y p} \\h y p &=\frac{2}{\sin 20} \\&=5.8476\end{aligned}

Since, hypotenuse is 10 units, Option a is not correct answer.

Option b: AC is 7 units, BC is 3 units

\begin{aligned}A B &=\sqrt{7^{2}+3^{2}} \\&=\sqrt{49+9} \\&=\sqrt{58}\end{aligned}

Since, hypotenuse is 10 units, Option b is not correct answer.

Option c: Angle B is 50 degrees, BC is 4 units

\begin{aligned}\cos 50 &=\frac{4}{h y p} \\h y p &=\frac{4}{\cos 50} \\&=6.222\end{aligned}

Since, hypotenuse is 10 units, Option c is not correct answer.

Option d: Angle A is 30 degrees, BC is 5 units

\begin{aligned}\sin 30 &=\frac{5}{h y p} \\h y p &=\frac{5}{\sin 30} \\&=10\end{aligned}

Since, hypotenuse is 10 units, Option d is the correct answer.

Option e: AC is 8 units, BC is 6 units

\begin{aligned}A B &=\sqrt{8^{2}+6^{2}} \\&=\sqrt{64+36} \\&=\sqrt{100} \\&=10\end{aligned}

Since, hypotenuse is 10 units, Option e is the correct answer.

Thus, Option d and e are the correct answers.

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Answer:

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Step-by-step explanation:

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Hope this helps! :)

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