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PIT_PIT [208]
3 years ago
6

Is 16x^2-56x+49 a perfect square trinomial? How do you know ? If it is, factor the expression. Please show your work

Mathematics
1 answer:
daser333 [38]3 years ago
6 0

Answer:

  • yes
  • (4x -7)^2

Step-by-step explanation:

If it is, the first and last terms are perfect squares, and the middle term is twice the product of the roots of those squares.

  16x^ = (4x)^2 . . . . a perfect square

  49 = 7^2 . . . . . . . a perfect square

  -2(4x)(7) = -56x . . . . . matches the middle term, so the factoring is ...

  16x^2 -56x +49 = (4x -7)^2

_____

The sign in the binomial factors is the same as the sign of the middle term of the trinomial.

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Polynomial help! 40 pts, please show all work for question 49 part a and b
hoa [83]

Answer:

4x^2 +84x+440

840 in^2

Step-by-step explanation:

The length of the picture and frame is x+ 22+x= 2x+22

The width of the picture and frame is x +20+x = 2x+20

Area is length times width

A = (2x+22) *(2x+20)

We can FOIL to find the area

first 2x*2x = 4x^2

outer 2x*20 =40x

inner 2x*22 = 44x

last = 22*20 = 440

Add these together

4x^2 +40x+44x+440

4x^2 +84x+440

b.  x=4

4x^2 +84x+440

4(4)^2 +84(4) +440

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840

6 0
3 years ago
Read 2 more answers
The diagonal of a rectangle is 30 inches and the length of the rectangle is 24 inches.
RoseWind [281]

Answer:

area=432

Step-by-step explanation:

use the Pythagoras theory now that you know the width and you'll get the length and the width then you multiply both of them hope it helps you.

6 0
3 years ago
If an airplane passes directly over your head at an altitude of 12 kilometers, how far is the airplane from your position after
rewona [7]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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