1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Three concentric circles have radii of lengths 2, 4, and 8 feet. What is the length of the shortest line segment that has at lea
Kisachek [45]
The shortest distance between 2 concentric circles is the difference of their radii. Thus the answer is 8-2=6
5 0
2 years ago
What is 2x-3y=5<br> x+2y=-1
ikadub [295]

Answer:

6

Step-by-step explanation:

3 0
3 years ago
the long sides of a rectangle are 5 ft 6 in and it's perimeter 16 ft 10 in how long are the shorter sides?
loris [4]
So a rectangle has 2 Long side so that would be a total of 10 ft 12 in which is 13 feet so you
take 16 ft 10 in subtract 13 feet and you get 3 ft 10 in remaining so then you divide that into two because there’s two shorter size and that gives you 1 foot and 11 inches each
5 0
3 years ago
The quotient of a number and -5 decreased by 9 is 2
bija089 [108]

Answer:

n/-5 - 9 = 2

Should be the correct answer.


3 0
3 years ago
Rewrite 4/10:1/25 as a unit rate
nata0808 [166]
It's 10. I hope this helps!
5 0
3 years ago
Read 2 more answers
Other questions:
  • Mr. Rr the Rreliable Rrobot has been programmed to whistle every $18$ seconds and do a jumping jack every $42$ seconds, starting
    8·1 answer
  • 8/9 with a exponet of 0
    11·2 answers
  • Please help me answer this
    5·2 answers
  • A sales girl earns a basic salary of shs.
    7·1 answer
  • What is the slope of the line represented by the points in the table?
    14·1 answer
  • Ill mark brainlist plss
    11·2 answers
  • The cost of producing an item is $250 at the break-even point. What is the income from selling the same item at the break-even p
    13·2 answers
  • What is the value of x^6+y^2x 6 +y 2 x, start superscript, 6, end superscript, plus, y, squared when x=1x=1x, equals, 1 and y=11
    13·2 answers
  • The question is below
    9·1 answer
  • Find the distance between (6,4) and (0,-5)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!