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
DaniilM [7]
3 years ago
10

Use completing the square to solve (x – 12)(x + 4) = 9 for x. x = –1 or 15 x = 1 or 7

Mathematics
2 answers:
4vir4ik [10]3 years ago
6 0
(x - 12)(x + 4) = 9
x² + 4x - 12x - 48 = 9
x² - 8x - 48 = 9    |add 48 to both sides
x² - 8x = 57
x² - 2x · 4 = 57    |add 4² to both sides
x² - 2x · 4 + 4² = 57 + 4²    |use (a - b)² = a² - 2ab + b²
(x - 4)² = 57 + 16
(x - 4)² = 73 ⇔ x - 4 = √73 or x - 4 = -√73    |add 4 to both sides

x = 4 + √73 or x = 4 - √73
zalisa [80]3 years ago
3 0

The answer is D. x=  4+/-\sqrt{73}

You might be interested in
Assume the 72-gon is a regular polygon. The measure of one interior angle is how many
Greeley [361]

9514 1404 393

Answer:

  • interior: 175°
  • exterior: 5°

Step-by-step explanation:

The sum of exterior angles is 360°, so the exterior angle can be easiest to find first.

  exterior angle = 360°/72 = 5°

The interior angle is the supplement of this.

  interior angle = 180° -5° = 175°

The measure of one interior angle is 175°; one exterior angle is 5°.

8 0
3 years ago
The height of a distance marker is 8 2/13 feet. 4/5 of the pole is painted white and rest is painted blue. How much of the pole
Mashcka [7]
1) Convert the mixed number 8 and 2/13 into a fraction:

8 and 2/13 = 8 + 2/13 = (8*13 + 2) / 13 = 106 / 13

2) Calculate 4/5 of 106 / 13

(4 / 5) * ( 106 / 13) = (4*106) / (5*13) = 424 / 65

That is (390 + 34) / 65 = 390/65 + 34/65 = 6 + 34/65 is painted white

3) Calculate the rest

 (1/5) * (106 / 13) = 106 / 65 = 1 + 41/65 is painted blue


6 0
3 years ago
A biased coin is tossed 40 times. Out of those 40 tosses, the coin landed on heads 12 times.
Ierofanga [76]

Answer:

Step-by-step explanation:The probability of picking the biased coin: P(biased coin)=1/100. The probability of all three tosses is heads: P(three heads)=1×1+99×18100. The probability of three heads given the biased coin is trivial: P(three heads|biased coin)=1.

7 0
3 years ago
Find each sum.
Greeley [361]

Answer:

Sum is - 5n² -8n + 4.

Step-by-step explanation:

Given : (3n² – 5n + 6) + (–8n²– 3n – 2) .

To find : Sum .

Solution : We have (3n² – 5n + 6) + (–8n²– 3n – 2) .

Combine like terms :

(3n² - 8n²– 5n - 3n + 6 - 2).

- 5n² -8n + 4.

Therefore, Sum is - 5n² -8n + 4.

8 0
3 years ago
Read 2 more answers
Joe bought two cups of coffee and five donut for a total of 60 the next day he bought six cups of coffee and seven donuts for a
Sladkaya [172]
Answer is you asking for a lot
7 0
3 years ago
Other questions:
  • What is the solution to the equation <br><br> 7(3-x)=-7(x+3)-4
    7·1 answer
  • Slope of a line that goes through the points (4,-1) and (3,8)
    11·1 answer
  • If my friend and i went to get ice cream, I have $30 and each ice cream is $5. What equation would help me solve this? I need an
    10·1 answer
  • What is the value of the 5 in 673,512
    13·2 answers
  • Which of the following statements is not​ true? A. If the probability of an event occurring is​ 0, then it is impossible for tha
    5·1 answer
  • The present value of a house is $242,000. The value of the house increases at the rate of 4% every year. A function is shown bel
    12·2 answers
  • A line parallel to a triangle's side splits AB into lengths of x - 5 and x + 2. The other side, AC, is split into lengths of x a
    14·2 answers
  • Nicole tutors history. For each hour that she tutors she earns 50 dollars. Her earnings, (E) in dollars, after tutoring for (h)
    10·1 answer
  • Felicia is a girl who plays on a co-ed volleyball team. Besides Felicia, the team is made up of 7 boys and 4 other girls. The te
    15·1 answer
  • A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!