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
Ksenya-84 [330]
3 years ago
9

What numbers must be added to complete the perfect square?​

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0

Answer:

256

Step-by-step explanation:

Let the number be k

Thus, the equation can be written as:

x² – 32x + k

From the above,

a = 1

b = –32

c = k

The value of k can be obtained as follow:

b² = 4ac

(–32)² = 4 × 1 × k

1024 = 4k

Divide both side by 4

k = 1024 / 4

k = 256

Thus, 256 should be added to x² – 32x to make it a perfect square i.e

x² – 32x + 256

****Check****

x² – 32x + k

k = 256

x² – 32x + 256

x² – 16x – 16x + 256

x(x – 16) – 16(x – 16)

(x – 16)(x – 16)

(x – 16)² QED

You might be interested in
What does "a"equal to?
slamgirl [31]
Distribute on the left side
7.4a+22.2=3.2a+43.2
Subtract 3.2a from both sides
4.2a+22.2=43.2
Subtract 22.2 from both sides
4.2a=21
Divide both sides by 4.2
a=5
5 0
3 years ago
Simplify the radical
mamaluj [8]

Answer:

9d^3

Step-by-step explanation:

~~~\sqrt{81 d^6}\\\\=\left(81 d^6 \right)^{\tfrac 12}\\\\=\left(81\right)^{\tfrac 12} \cdot \left(d^6 \right)^{\tfrac 12}\\\\=\left(9^2 \right)^{\tfrac 12} \cdot d^{\tfrac 62}\\\\=9d^3

4 0
2 years ago
Which formulas can you use to calculate the volume of a rectangular prism check all that apply
Llana [10]

Answer:

V = Bh

Step-by-step explanation:

5 0
3 years ago
A couple is required by their lender to have a down payment of 20% of the purchase price of the home they want to buy. If the co
Stella [2.4K]

Down payment is 20% of the price of the home. Since the couple saved $35,000, and assuming they will pay the whole money as down payment, the highest priced home they can get is a price whose 20% is $35,000.

We can setup an equation in x (being the price of home) to get the price of the most expensive home they can buy.

<em>Which number (x) , multiplied by 20%, is equal to $35,000?</em>

<em>x(0.2)=35,000\\x=\frac{35,000}{0.2} \\x=175,000</em>

So, the most expensive house they can buy is worth $175,000.


ANSWER: $175,000

7 0
2 years ago
Read 2 more answers
Today, everything at store is on sale. The store offers a 20% discount. Which of these expressions could be used to
MArishka [77]

Answer:

2. 0.2x

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • What is 91/32 reduced? Checking an answer.
    7·2 answers
  • What is R when N = 31.5ft and slope = 4/12
    15·1 answer
  • Which of the following are solutions to the inequality below? Select all that apply.
    15·1 answer
  • If a polygon is a triangle, then it is either acute or obtuse. Which is the hypothesis of the conditional?
    15·1 answer
  • How to solve log5 x/2 = 5? i got it to 2^5=x/2 but i have NO CLUE how to solve from there?
    14·1 answer
  • Help Quick!!! WILL GIVE BRAINLIEST TO 1ST CORRECT ANSWER!
    6·2 answers
  • A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$.80 A season ski pass costs ​$300. The
    8·2 answers
  • A cylinder has a diameter of 10 inches and a height four times its radius. What is its volume?
    13·2 answers
  • What is the area of the parallelogram shown above
    14·1 answer
  • What is the slope of the line with the equation 9x=6+6y
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!