answer.
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
Mandarinka [93]
2 years ago
11

The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the l

ast step.
9x2 +54x = 7

9(x2 + 6x) = 7

9(x2 + 6x + 9) = 7 +.?
Mathematics
2 answers:
gulaghasi [49]2 years ago
5 0
Completing the square is done as follows:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left. 
<span>9x2 +54x = 7
</span>
2. Make sure that the coefficient of the x^2 term is 1.
<span>9(x2 + 6x) = 7
</span>
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
<span>9(x2 + 6x + 9) = 7 + 81

9(x+3)^2 = 88
</span>
Westkost [7]2 years ago
4 0

Answer:

? = 81

Step-by-step explanation:

You might be interested in
A triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters. The height of the prism is
qaws [65]

Answer:

It is 20.4 and 16.8

Step-by-step explanation:

This is similar to 8.4 (because its doubled) and it is similar to 10.2 (because its doubled)

5 0
2 years ago
Read 2 more answers
LESSON 1 SESSION 1
denpristay [2]

Answer:

  • <em>Between which two tens does it fall?</em><em> </em><u>Between 25 and 26 tens</u>

<em><u /></em>

  • <em>Between which two hundreds does it fall?</em> <u>Between 2 and 3 hundreds</u>

Explanation:

The place-value chart is:

Hundreds         Tens      Ones

       2                   5             3

<em><u /></em>

<em><u>a)  Between which two tens does it fall? </u></em>

Using the place values you can write 253 = 25 × 10 + 3, i.e. 25 tens and 3 ones.

From that you can write:

  • 250 < 253 < 260
  • 250 = 25 × 10 = 25 tens
  • 260 = 26 × 10 = 26 tens

Then, you conclude that 253 is between 25 and 26 tens.

<u><em>b) Between which two hundreds does it fall?</em></u>

Using the same reasoning:

  • 253 = 2 × 100 + 5 × 10 + 3 = 253

  • 200 < 253 < 300
  • 200 = 2 hundreds
  • 300 = 3 hundreds

Conclusion: 253 is between 2 hundreds and 3 hundreds.

3 0
2 years ago
In 2013, the national debt was
Reika [66]

Answer:

You can use a calculator for the decimal operations, but practice some by hand because on the quiz and the test you will not have a calculator.

Step-by-step explanation:

7 0
2 years ago
The height of an arrow shot upward can be given by the formula s = v0t - 16t2, where v0 is the initial velocity and t is time. H
Lina20 [59]

The arrow is at a height of 48 ft after approximately 0.55 seconds and after 5.45 seconds.

<em><u>Explanation</u></em>

The given formula is:   s=V_{0}t-16t^2

If the initial velocity is 96 ft/s , that means  V_{0}=96

For finding the time the arrow takes to reach a height of 48 ft, we will plug s= 48 into the above formula. So......

48=96t-16t^2\\ \\ 16t^2-96t+48=0\\ \\ 16(t^2-6t+3)=0\\ \\ t^2-6t+3=0\\ \\ t^2-6t =-3\\ \\ t^2-6t+9=-3+9\\ \\ (t-3)^2 = 6\\ \\ t-3= \pm \sqrt{6} \\ \\ t=3\pm \sqrt{6}\\ \\ t = 5.45 , 0.55

So, the arrow is at a height of 48 ft after approximately 0.55 seconds and after 5.45 seconds.

7 0
2 years ago
Read 2 more answers
Nick has to build a brick wall. Each row of the wall requires 62 bricks. There are 10 rows in the wall. How many bricks will Nic
Delicious77 [7]
10 x 62 is the equation for this problem because every row has 62 and there are 10 rows.
7 0
2 years ago
Other questions:
  • For what values of m does the graph of y = 3x^2 + 7x + m have two x-intercepts? a) m&gt;12/49 b) m&lt;12/49 c) m&lt;49/12 d) m&g
    14·1 answer
  • Find the product of (–d + e)(4e + d). Which statements are true? Check all that apply
    12·2 answers
  • A baseball coach gives half his players an energy drink to consume before each game; the other half does not receive the energy
    6·1 answer
  • Brittany surveyed the students in three different Chemistry classes regarding the average number of hours of sleep they get each
    5·2 answers
  • Choose the function whose graph is given by:
    10·2 answers
  • Mr. Torres took his students to the dolphin show. Each row in the stadium had 11 seats. One adult sat at each end of a row, and
    8·1 answer
  • Brenna found 10% of 60. Her work is shown below. 10% of 60 = (60 ÷ 2) = 30 Is Brenna’s answer correct? No. Brenna should have di
    14·2 answers
  • The geometric sequence a i a i ​ a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 ​ =8a, start subscr
    11·1 answer
  • A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that
    14·1 answer
  • A survey of 500 adults aged 18 – 29 years of age revealed that 285 chose to eat fast food for dinner at least once in the past w
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!