Questions: Fill in the blank with a number to make the expression a perfect square. y^2+18y+square

Fill in the blank with a number to make the expression a perfect square. y^2+18y+square
Transcript text: Fill in the blank with a number to make the expression a perfect square. \[ y^{2}+18 y+\square \]
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Coefficient of the Linear Term

The given expression is \( y^2 + 18y + \square \). The coefficient of the linear term \( y \) is 18.

Step 2: Calculate Half of the Coefficient

To complete the square, take half of the coefficient of the linear term. Half of 18 is:

\[ \frac{18}{2} = 9 \]

Step 3: Square the Result

Square the result from Step 2 to find the number that completes the square:

\[ 9^2 = 81 \]

Final Answer

The number that makes the expression a perfect square is \(\boxed{81}\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
(b) 0.30 mi to in.
failedAnswered
Question 14 Savings and the TVM Calculator Use the TVM Calculator to solve the following savings problem. Round your result to two decimal places as needed. Ray makes an investment of 9,500 into an account that pays interest compounded annually. In addition, he makes a yearly deposit of 120. At the end of 4 years, his balance is 14,500. What interest rate was earned on his investment? Enter the values you need to put in the TVM calculator. Remember that money paid to the bank is negative and money received from the bank is positive. NOTE: Put the letter x in the answer box for the unknown value in the appropriate box below. The number solution will go in the final box in the last question. PV=, N=, Present Value Number of Compounding Periods Payment =, 1 %=, Annual Interest Rate as a Percent FV=, P/Y and C/Y=, Payments per Year and/or Compoundings per Year Ray earned an interest rate of % on his investment.
failedAnswered
Data Analysis Questions 4 When cleaning up data, which is not appropriate to change? A Units of Measurements B Spelling of Categories C True Outliers D Unreasonable Outlier 5 Our classroom data represents a part of our campus data. A large B small Population data refers to all of those considered in a survey. True False 7 Which is quantitative data? A height B hair color C type of after school job 8 Which is categorical data? A foot length B armspan C favorite music 9 A histogram displays the frequency of collected data. True False 10 A normal distribution is represented by a bell curve. True False
failedAnswered
Provide an appropriate response. Use this Standard Normal Table to find the probability between 66.5 and 68.0 inches. If a woman is randomly selected, what is the probability that her height is between 66.5 and 68.0 inches? A. 0.3112 B. 0.1844 C. 0.9608 D. 0.7881
failedAnswered
What Students Do In Their Free Time Which percentage best represents sports? 10% 50% 25% 15%