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
Alika [10]
2 years ago
8

Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: b2 + 20b +*

Mathematics
1 answer:
mario62 [17]2 years ago
5 0

Given:

The expression is:

b^2+20b

To find:

The a monomial so that the trinomial may be represented by a square of a binomial.

Solution:

If an expression is x^2+bx, then be need to add square of half of coefficient of x, i.e., \left(\dfrac{b}{2}\right)^2 in the given expression to make in perfect square.

We have,

b^2+20b

Here, coefficient of b is 20,so wee need to add square of half of coefficient of b, i.e., \left(\dfrac{20}{2}\right)^2.

\left(\dfrac{20}{2}\right)^2=10^2

\left(\dfrac{20}{2}\right)^2=100

Therefore, we need to add 100 to make b^2+20b a perfect square binomial.

You might be interested in
mercury orbits the sun in 87 and 24/50 venus orbits the sun in 224 and 7/10 earthdays and mars orbits the sun in 686 and 49/50 d
slega [8]
Mercury: 87 24/25
Venus 224 7/10
Mars 686 49/50

All we need to do is to convert fractions so they have a denominator of 10, 100, 1000 etc.

87 24/25 = 87 96/100
224 7/10 stays the same
686 49/50 = 686 98/100

Now we can easily convert them into decimals:

Mercury: 87.96
Venus: 224.7
<span>Mars: 686.98</span>
7 0
3 years ago
Simplify 6days to 4weeks to it lowest term in ratio
FromTheMoon [43]
4 weeks = 28 days,
ratio = 6:28,

simplified ratio = 3:14
8 0
2 years ago
Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​
maria [59]

Answer:

B = 1.875

Step-by-step explanation:

given that A varies directly as B and inversely as C then the equation relating them is

A = \frac{kB}{C} ← k is the constant of variation

to find k use the condition A = 12 when B = 3 and C = 2 , then

12 = \frac{3k}{2} ( multiply both sides by 2 to clear the fraction )

24 = 3k ( divide both sides by 3 )

8 = k

A = \frac{8B}{C} ← equation of variation

when A = 10 and C = 1.5 , then

10 = \frac{8B}{1.5} ( multiply both sides by 1.5 )

15 = 8B ( divide both sides by 8 )

1.875 = B

8 0
1 year ago
Simplify the radicals: do 10- 18, no need to show work if you usually do, thank you!!
Ainat [17]

Answer:

10. 7

11. 4

12. 8

13. 7

14. 2

15. 3

16. 11

17. 9

18. 8

Step-by-step explanation:

3 0
3 years ago
Person BMI Total Cholesterol
dlinn [17]
By using the arithmetic sequence, the difference between every other age is 12.98 (interval is 2). Example: 20 and 22 has 157.87 and 170.85 respectively which has the mentioned difference. Hence, if we calculate for the person who has a BMI of 35, then we add 12.98 to 235.75 plus the half which is 6.49. The total is <span>255.22. The answer is C.</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify -4^2 -(-2)^2+7^2=
    9·1 answer
  • What is one quarter of 2/3?
    11·2 answers
  • Type the slope-intercept equation
    9·1 answer
  • Please help me asap!!
    15·1 answer
  • Jillian has $50 that she plans on investing in an account that will double her money every week. This can be represented by the
    13·2 answers
  • Delany can run 1 1/2 of a mile at a rate 16 minutes and 30 seconds. At this rate how many minutes will it take him to run one mi
    11·1 answer
  • 17 = X + 3 HELPPPP FAST
    14·2 answers
  • PLEASE HELPME I BEG YOU I REALLY NEE HELP ME PLEASE PLEASE PLEASE PLEASE HELP ME I BEG YOU PLEASE ANYBODY PLEASE HELP ME!!!
    14·1 answer
  • Question 10
    13·1 answer
  • Please ASAP.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!