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Yuri [45]
3 years ago
9

Explain why the polynomial 144x2 − 200x + 81 is not a perfect square.

Mathematics
1 answer:
Sloan [31]3 years ago
5 0
The square root of 144x^2 = 12 x
and square root of + 81 = 9 or -9

if  this polynomial were a perfect square then its factors would be 
(12x - 9)(12x - 9)

but its not a perfect squre because (12x - 9)(12x - 9)  = 144x^2 - 216x + 81.
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A semicircle has a diameter of 17.6 cm.
Ray Of Light [21]

Answer:

B. 45.23 cm

Step-by-step explanation:

perimeter of the figure

=\frac{1}{2}\pi d+d

=\frac{1}{2}\times 3.14\times 17.6 +17.6

=\frac{1}{2}\times 55.264 +17.6

=27.632 +17.6

=45.232

=45.23\: cm

7 0
3 years ago
The equation of a circle whose center is (3,7) and whose radius is 6 is
Aleks [24]
The equation of any given circle is:
{(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}
where (h, k) is the center and r is the radius.

In the problem, we are given the center, and the radius. When we plug them in:
{(x - 3)}^{2}  +  {(y - 7)}^{2}  = 36
we got the formula of the circle.
4 0
3 years ago
A circle has a circumference of 6. It has an arc of length 1.
Viktor [21]

Answer:

<h3>60°</h3>

Step-by-step explanation:

Given that:

  • Circumference (C) = 6 units
  • Arc length (A) = 1 unit

<u>Find the central angle (</u><u>θ</u><u>)</u>

Arc is some part of circumference; thus,

the equation of arc length =

A = θ/360 × C

θ/360 = A/C

θ = (360×A)/C

θ = (360×1)/6

θ = 360 ÷ 6

<h3>θ = 60° ✅</h3>

Central angle = 60°

______________

#IndonesianPride

- kexcvi

8 0
3 years ago
A fair coin is tossed 20 times. The probability of getting the three or more heads in a row is 0.7870 and the probability of get
adelina 88 [10]

Answer:

The  value is  P( H \  n \  T ) =  0.6049

Step-by-step explanation:

From the question we are told that

   The  number of times  is  n  =  20  

   The probability of getting three or more heads in a row is  P(H) =  0.7870

   The probability of getting three or more heads in a row or three or more tails in a row is    P(H \ u \   T )  =  0.9791

Generally given that it is a fair coin , then   P(H) = P(T) =  0.7870

Here  P(T) is  probability of getting three or more tails  in a row

Generally  the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as

        P( H \  n \  T ) =  P(H) + P(T) -  P( H \  u \  T )

=>   P( H \  n \  T ) =  0.7870  + 0.7870 -  0.9791

=>   P( H \  n \  T ) =  0.6049

 

7 0
3 years ago
What is the distance between -4 and 6 on a number line
lakkis [162]

Answer:

10 you just add them and or count down


3 0
3 years ago
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