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
Alisiya [41]
3 years ago
10

Find the number that must be added to each expression to form a perfect square trinomial. Then write the trinomial as a binomial

squared.

Mathematics
2 answers:
maksim [4K]3 years ago
8 0
<h2>Hello!</h2>

The answers are:

a) \frac{49}{4}

b) (x+\frac{7}{2})^{2}

<h2>Why?</h2>

First, we need to know that for this case:

a=1\\2ab=7

So,

b=\frac{7}{2}

b^{2} =(\frac{7}{2})^{2}=\frac{49}{4}

We must add \frac{49}{4}  to the expression in order to form a perfect square trinomial,

x^{2} +7x+\frac{49}{4}

Writing the trinomial as a binomial square:

(x+\frac{7}{2})^{2}=x^{2}+2*\frac{7}{2}*x+(\frac{7}{2})^{2}=x^{2} +7x+\frac{49}{4}

Have a nice day!

kaheart [24]3 years ago
5 0

Answer:

49/4 is the number.

Step-by-step explanation:

We have given the expression:

x²+7x+?

We have to find the number that must be added to form a perfect square trinomial.

(x+7/2)² = x+2(x)(7/2)+(7/2)²

(x+7/2)²

To form the expression perfect square 49/4 is added.

(x+7/2)² =  x+2(x)(7/2)+(7/2)²= x+7x+49/4

You might be interested in
69/14 as a mixed number
Otrada [13]

Answer:

6914 is 4 with a remainder of 13

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can anyone help with this?
Rufina [12.5K]

Answer:

Second option is the right choice.

Step-by-step explanation:

SSS.

6 0
3 years ago
Read 2 more answers
What two letters don't appear on the telephone dial​
vekshin1

Answer:

Two letters that don't appear is q and z.

6 0
2 years ago
Read 2 more answers
Help mememememme please ☹️
Dmitriy789 [7]

An exterior angle is formed by one side of the triangle, and a side EXTENDED outside the triangle. Two angles are like that, ∠4 and ∠2.


Angle 3 is NOT an exterior angle because it is made up of two extended sides. It does not use one of the sides of the triangle.

3 0
3 years ago
HELP PLEASE,
faltersainse [42]
I think it's D but make it sire
7 0
3 years ago
Read 2 more answers
Other questions:
  • What type of sampling is shown here: Conduct a survey of everyone in your neighborhood to predict city elections.
    9·2 answers
  • Two thirds a number d to the third power
    7·1 answer
  • A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter
    7·2 answers
  • Which expressionis equal to (-7x+5.1y)-(-9x+5.3y)
    14·1 answer
  • How do I answer this
    7·1 answer
  • A number is ten less than four times another number”?
    9·1 answer
  • A state conservation agency reports that there are currently 3000 deer in a forest. The agency also reports that the deer popula
    13·2 answers
  • Which of the following are NOT the correct reasons to complete the proof above?
    8·1 answer
  • HELP ASAP!!!!!!
    8·1 answer
  • 2x − 1 &lt; 7 and 3x + 24 ≥ 12
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!