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harina [27]
3 years ago
8

What is the factorization of the polynomial below?

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
8 0
<h2>Steps:</h2>

So for this, we will be applying the <u>difference of squares</u> rule, which is x^2-y^2=(x+y)(x-y) . In this case:

\sqrt{4x^2}=2x\\\sqrt{25}=5\\\\4x^2-25=(2x+5)(2x-5)

<h2>Answer:</h2>

<u>In short, your answer is A. (2x + 5)(2x - 5).</u>

katrin [286]3 years ago
5 0

Answer:

A. (2x + 5)(2x - 5)

Step-by-step explanation:

Factor out the polynomial given.

(4x² - 25) = (2x - 5)(2x + 5)

Check: Use the FOIL method.

(2x)(2x) = 4x²

(2x)(5) = 10x

(2x)(-5) = -10x

(-5)(5) = -25

Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25

A. (2x + 5)(2x - 5) is your answer

~

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The minute hand on an analog clock is 8 inches long. how far does the tip of the minute hand travel in 16 minutes
Dahasolnce [82]
We know that
<span>on an analog clock
60 minutes is equal to a circumference of 360</span>°
so
360/60-----> 6°
that means 
1 minute is equal to --------> 6°
16 minutes----------> X
x=16*6-----> 96°

the length of a circumference=2*pi*r
for r=8 in

the length of a circumference=2*pi*8-----> 50.24 in

if 360° (full circle) has a length of----------------> 50.24 in
  96°---------------------------> x
x=96*50.24/360------> x=13.40 in

the answer is
13.40 in

5 0
3 years ago
A rocket is launched from the top of a 70 foot cliff with an initial velocity of 130 feet per second. The height, h, of the rock
lana [24]

Answer:

The answer is 7.8 seconds.

  1. Solve for t in the equation using the Quadratic formula.
  2. Eliminate the negative solution and the positive solution is your answer.

Please Mark Brainliest If This Helped!

6 0
2 years ago
Which statement is true about the function f(x) = 7
TEA [102]

Answer:

the function is EVEN because f(x)= f(-x)

Step-by-step explanation:

Key to find if a function f(x) is even or odd is to replace the x with -x

if the results comes out to be f(x) then it is even function

if the results comes out to be -f(x) then it is odd function

where as graphically even f(x) will be symmetric around the y-axis and odd f(x) will be symmetric around the origin.

In given case f(x)=7

if we replace x with -x in above equation then results is 7

f(-x)= 7

hence f(x)= f(-x) = 7

!

7 0
4 years ago
4x-1divide by 2=x+7<br> what is x
sertanlavr [38]
X= 2.5
just move the terms collect the terms calculate it, divide both sides !!
6 0
3 years ago
2 x<br>— = -----<br>7 x + 10<br><br>x = ???​
valentina_108 [34]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Maybe you want to find x such that ...

  2/7 = x/(x +10)

  2(x +10) = 7x . . . . . . multiply by 7(x+10)

  20 = 5x . . . . . . . . . . subtract 2x, simplify

  4 = x . . . . . . . . . . . . divide by 5

_____

<em>Additional comment</em>

You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.

6 0
3 years ago
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