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
Andreas93 [3]
4 years ago
15

Find the value of c that makes the expression a perfect square trinomial. x2 + 4x + c

Mathematics
1 answer:
masha68 [24]4 years ago
7 0

the value of c that makes the expression a perfect square binomial is c=4 .

<u>Step-by-step explanation:</u>

Here we have , an expression x2 + 4x + c or , x^2 + 4x + c . We need to find  the value of c that makes the expression a perfect square binomial. Let's find out:

We have ,  x^2 + 4x + c

⇒ x^2+4x+c

⇒ x^2+2(2)x+c

Now , we know that (a+b)^2=a^2+2(a)(b)+b^2

Comparing above equation  , to  x^2+2(2)x+c we get ;

⇒  x^2+2(2)x+c            { c=2^2  }

⇒  x^2+2(2)x+2^2

⇒  (x+2)^2

Therefore , the value of c that makes the expression a perfect square binomial is c=4 .

You might be interested in
Twenty-five lamps are placed around a circle-shaped garden. How many straight lines could be found if each lamp is connected to
astraxan [27]

Answer:

300

Step-by-step explanation:

every lamp can connect other lamps ,from the first ,it can connect the other 24 lamps,and then, the second ,can also connect other 24 。but the line between the first and the second is counted twice。

so it would be:

(1+2+3+...+24)×24÷2=300

8 0
4 years ago
Find the length of CA to the nearest tenth of a foot
hoa [83]

Answer:

CA ≈ 3.1 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = \frac{opposite}{adjacent} = \frac{BC}{CA} = \frac{2.6}{CA} ( multiply both sides by CA )

CA × tan40° = 2.6 ( divide both sides by tan40° )

CA = \frac{2.6}{tan40} ≈ 3.1 ft ( to the nearest tenth )

3 0
3 years ago
Is (0,1) , (1,3) , (2,5), (3,7) a function?​
igomit [66]

Answer:

9

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
The two-way table shows the number of people who have or have not graduated from college and who live or do not live in their ho
neonofarm [45]

Answer:

0.28

Step-by-step explanation:

Refer the attached figure

Given :

People who live in their hometown and graduated from the college =8

People who do not live in their hometown and graduated from the college = 10

People who did not graduate from college and lives in home town = 6

People who did not graduate from college and do not live in home town = 4

To Find :  Among people who do not live in their hometown, what is the relative frequency of not graduating from college?

Solution :

The total no. of people who do not live in home town whether they are graduated or not graduated = 14

People who did not graduate from college and do not live in home town = 4

Thus  Among people who do not live in their hometown the relative frequency of not graduating from college :

People who did not graduate from college and do not live in home town/total no. of people who do not live in home town whether they are graduated or not graduated

⇒\frac{4}{14}

⇒\frac{2}{7}

⇒0.28

Thus , Among people who do not live in their hometown the relative frequency of not graduating from college = 0.28




5 0
4 years ago
Read 2 more answers
show me a picture of 712÷8in long division form plz help me and show me pictures it's due and it's really hard please help me an
icang [17]
712/8=? First found out what 71/8 is. 71/8 is 8 and 7/8. This tells that there is 7 left so now you add 7 to two which gives you 72. Then you divide 72/8=9 and combine 8 and 9 which gives you 89. So 712/8=89
8 0
3 years ago
Read 2 more answers
Other questions:
  • Which graph represents the solution set of the inequality x+2&gt;6?
    15·2 answers
  • How do you write 9,800,100 in exponents and expanded form
    6·1 answer
  • The narrator is the __________ of the story
    12·2 answers
  • The dimensions of the scale drawing of a rectangle are 8cm and 11cm. If the scale factor is 4, what is the length of the origina
    15·1 answer
  • The poster is 25cm wide. how high is the poster
    7·1 answer
  • Help help help help help helps <br> PLEASE I NEED HELP I CANT FAIL THIS
    13·1 answer
  • Carlos spent 5 hours on math, 2 hours on science, and an hour on reading. Find the ratio of math to total hours.
    15·1 answer
  • What is the value of: (3.3) + (-1) - (-1.7)
    5·1 answer
  • What is 2 2/3×3 1/4 as a fraction form
    11·1 answer
  • What is this pleaseeeee helpp pleaseeeeeee
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!