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harkovskaia [24]
3 years ago
13

select the polynomial that is a perfect square trinomial. 49x2 − 8x 16 4a2 − 10a 25 25b2 − 5b 10 16x2 −8x 1

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
8 0
16x² - 8x + 1 = (4x)² - 2 · 4x · 1 + 1² =(4x - 1)²

Used: (a - b)² = a² -2ab + b²
Sav [38]3 years ago
5 0

Answer:

16x^2-8x+1=(4x-1)^2  is a perfect square trinomial.

Step-by-step explanation:

Given polynomials

49x^2-8x+16\\\\4a^2-10a+25\\\\25b^2-5b+10\\\\16x^2-8x+1\\

We have to choose the polynomial  that is a perfect square trinomial.

  • Trinomial is the polynomial having three terms.
  • Perfect square trinomial are those polynomial having three terms and can be written as a perfect square that is in the form of (a\pm b)^2

Consider the given polynomials

Since, all have three terms so, every  given polynomial is trinomial.

and for perfect square consider 16x^2-8x+1

This can be written as 16x^2-8x+1=(4x)^2-2\cdot 4x\cdot 1+(1)^2

We know the algebraic identity, (a-b)^2=a^2-2ab+b^2

On comparing a = 4x and b = 1

Thus, 16x^2-8x+1=(4x-1)^2

Thus, 16x^2-8x+1=(4x-1)^2  is a perfect square trinomial.

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he Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top of the statue is 22.9 degree
Andru [333]

Answer:

is at a distance of 722 feet

Step-by-step explanation:

we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue

we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg

we see that it has (angle, adjacent, opposite)

well to start we have to know the relationship between angles, legas and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

it's the tangent

tan α = o/a

we replace the values ​​and solve

tan α = o/a

tan 22.9 = 305/a

a = 305/tan22.9

a = 305/0.4224

a = 722

is at a distance of 722 feet

7 0
3 years ago
Read 2 more answers
5+4g+8=1 (g=-3;g=-1;g=2)
DochEvi [55]
Hello : 
<span>5+4g+8=1
g = -3 : 5+4(-3)+8 = 13-12 = 1  ... right</span>
3 0
3 years ago
Please help me.. I don't undersand this
klasskru [66]

Answer:

45 degrees.

Step-by-step explanation:

When two angles are next to each other along a straight line, their sum = 180 degrees.

180 - 135 = 45

5 0
2 years ago
Read 2 more answers
A square lawn has a length of 8 feet and a width of 8 feet. Eight researchers each examine a randomly chosen
Goshia [24]

The best approximation to the number of seedlings that are at least 2 inches high in the <u>entire lawn</u> is:

  • D. <u>6,400</u>

<h3><em>Total</em><em> Seedlings Calculation</em><em>.</em></h3>

To identify the total number of seedling in the entire lawn, first you must add all the seedling counted by the researchers:

  • Counted seedlings = 82 + 87 + 95 + 99 + 102 + 106 + 111 + 115
  • <u>Counted seedlings = 697</u>

Now, you must divide 697 in the number of regions taken by the researchers ( in this case were 8), this to obtain the average:

  • Average seedlings by region = \frac{697}{8}
  • <u>Average seedlings by region = 87.125</u>

Now, how we know, the entire lawn has a length of 8 feet and a width of 8 feet, it means 64 regions of one feet by one feet, by this reason, we multiply the average of seedlings by the whole regions in the lawn:

  • Number of seedlings in the lawn = 87.125 * 64
  • <u>Number of seedlings in the lawn = 5576</u>

Taking into account the average of seedlings is 5576, the best approximates of seedlings that are at least 2 inches high in the entire lawn is <u>6400</u>.

More information about Approximations:

brainly.com/question/12849458?referrer=searchResults

8 0
2 years ago
Which function is nonlinear? A.9y+3=0 B. y-4x=1 C.y=2+6x4 D.x-2y=7 E.x/y+1=2
Sunny_sXe [5.5K]

Answer:

c

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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