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4 years ago

Factor completely 169x2 − 64.

Mathematics

2 answers:

Radda [10]4 years ago

3 0

A is the answer
I believe

yan [13]4 years ago

3 0

Answer: the correct option is

(A) $(13x+8)(13x-8).$

Step-by-step explanation: We are given to factor the following expression completely :

$E=169x^2-64~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using he following factorization formula :

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

From (i), we get

$E\\\\=169x^2-64\\\\=(13x)^2-8^2\\\\=(13x+8)(13x-8).$

Thus, the required factored form of the given expression is $(13x+8)(13x-8).$

Option (A) is CORRECT.

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A circle has a radius of length r. If you mark off the an arc on the circle of length 3r, what is the measurement of the angle t

prisoha [69]

Answer:

is 171.8 degrees

Step-by-step explanation:

Length of arc subtended by any angle $\alpha$ with a radius r is given by $\alpha *r$ .

For example

to calculate length of circumference

angle subtended by whole circle is 2 $\pi$

Therefore length of circumference is $2\pi *r$

Similarly we can see that for semicircle angle at center is $\pi$

hence length of arc is $\pi r$

____________________________________________

Given in the problem length of arc = 3r

radius= r

let the value of angle be $\alpha$

Plug in the value of length of arc in formula to calculate length of arc we have

3r = $\alpha* r$

$\alpha$ = 3r/r = 3

This value of angle subtended is in radian, we need to convert radian into degrees.

_____________________________________

We know that $\pi$ is equivalent to 180 degrees.

Also value of $\pi$ is 3.14

hence 3.14 radian= 180 degrees

=>3.14/3.14 = 180/3.14 ----degrees dividing both side with 3.14

=> 1 radian = 57.325 degrees

=> 1*3 radian = 57.325 * 3 degrees( multiplying both side with 3 as we need to find value of 3 radian into degrees

=> 3 radian = 171.8 degrees.

the measurement of the angle that subtended by the arc is 171.8 degrees or in radian 3 radian

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3 years ago

Choose the possible descriptions of cross sections formed by the intersection of a plane and a rectangular prism.

xxMikexx [17]

Answer:

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-line segment

-point

Step-by-step explanation:

A rectangle is formed when the intercepting plane is parallel to two of the faces of the prism

A triangle is formed when the plane cuts the prism near only one vertex, it is not parallel to the faces and 3 edges are cutted

A line segment is formed when the plane "touches" only one edge of the prism

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3 years ago

(x-3)(x-8)=0 apply the zero product property

SashulF [63]

Answer:

x=3

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The "Zero Product Property" says:

If (x−3)(x−8) = 0 then (x−3) = 0 or (x−8) = 0

Now we just solve each of those:

For (x−3) = 0 we get x = 3

For (x−8) = 0 we get x = 8

And the solutions are:

x = 3, or x = 8

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