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
The Appalachian Trail is about 2175 miles long.If a hiker averages 12 miles each day, how long will it take her to hike the leng
Dvinal [7]
It will take 182 days.
8 0
3 years ago
Read 2 more answers
2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in? One day, her
Juliette [100K]

Answer:

863 cups

Step-by-step explanation:

step 1

Find the volume of the conical cup

The volume of the cone (cup) is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=2/2=1\ in ----> the radius is half the diameter

h=4\ in

assume

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(1^{2})4=4.19\ in^3  

step 2

Find out how many cups of water must Carissa scoop out  of the sink

Divide the volume of the sink by the volume of the cup

so

\frac{3,617}{4.19}= 863\ cups

8 0
3 years ago
What is the value of the expression 10-1/2^4x48
kumpel [21]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
If mary can bake more cakes in one day than sarah can bake in one day, then _________
Debora [2.8K]

I'm not sure, but it's probably that Mary bakes faster than Sarah?

4 0
3 years ago
Determine which is the better buy. 7.38 for 2 pounds and 9.57 for 3 pounds.
Amanda [17]

Answer:

Let's find unit price. 7.38 / 2 = 3.69 and 9.57 / 3 = 3.19. Since 3.19 < 3.69 the better buy is 9.57 for 3 pounds.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Lilo wants to determine the average number of text middle school students in each day
    12·1 answer
  • (8,y) and (-2,4);slope =-1/5
    5·1 answer
  • Mrs B and Ms R plan to walk 3.75 miles to and from school every day for an entire year. If they meet their goal how many miles w
    15·1 answer
  • As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship be
    11·1 answer
  • Ralph opened a savings acount with a deposit of $100. Every month after that he deposits $20 more. Why is the relationship descr
    5·2 answers
  • Solve for x.<br><br> x<br> 18<br> = 10<br><br> A) 8 <br> B) 28 <br> C) 162 <br> D) 180
    9·2 answers
  • Kevin earns $5 per hour at an ice rink. Which graph best represents Kevin's total earnings over time?
    9·1 answer
  • 22. Isosceles triangle EFG is shown below inscribed in circle 0. If the measure of ZGEF is 34°, determine the measure of EHG. WI
    13·1 answer
  • What is the correct standard form for 30+2+0.1+0.005<br><br>​
    10·1 answer
  • 5 cm
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!