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
quester [9]
3 years ago
14

Solve.

Mathematics
1 answer:
bixtya [17]3 years ago
7 0

Answer:

-3 ± 2\sqrt{3} = x

Step-by-step explanation:

x² + 6x + 9 = 12 → x² + 6x - 3

Since this Quadratic Expression is unfactorable, apply the <em>Quadratic</em><em> </em><em>Formula</em>:

x = -b ± \frac{\sqrt{{b}^{2} - 4ac}}{2a}

-6 ± \frac{\sqrt{{6}^{2} - 4(1)(-3)}}{2(1)} =   -6 ± \frac{\sqrt{36 + 12}}{2} = -6 ± \frac{\sqrt{48}}{2} \\ \\ -3 ± 2\sqrt{3}

√48 = √[3 × 16] = 4√3

½[4√3] = 2√3

Then attach half of -6 to it as well [-3]:

-3 ± 2√3

I am joyous to assist you anytime.

You might be interested in
What is the GCF of 24,44,52
statuscvo [17]
The greatest common factor (GCF) of 24, 44, and 52 is: 4

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 44: 1, 2, 4, 11, 22
Factors of 52: 1, 2, 4, 13

The common factors between them are 1, 2, and 4, but 4 is the greatest, making it the GCF. 
4 0
3 years ago
1.) A tower casts a shadow that is 60 feet long when the angle
Fynjy0 [20]

Answer:

128.67 ft

Step-by-step explanation:

Let the height of the tower be x feet.

\tan \: 65 \degree =  \frac{x}{60}  \\  \\ 2.1445069205 =  \frac{x}{60}  \\  \\ x = 2.1445069205 \times 60 \\ \\  x = 128.670415 \\  \\ x = 128.67 \: ft

8 0
2 years ago
Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. After Laurie had checked her instr
stepladder [879]

Answer:

Laurie's maximum depth can be represented using the expressions :

(20 × 3) = 60

(3 × 4 × 5) = 60

Step-by-step explanation:

Each depth level at which ears are checked = 5 feets

Each Depth level at which instruments are checked = 20 feets

For Laurie to check her instrument ;

Number of times ears are checked = 20/5 = 4 times

This means that for Laurie to have checked her instrument 3 times :

(4 × 3 × 5) = 60 feets

Therefore, Laurie's maximum depth can be expressed as (4 × 3 × 5) = 60 feets

4 0
2 years ago
Read 2 more answers
Find the amount of time in years. <br><br><br><br> I=$100, P=$200, r=10%
lara31 [8.8K]

Answer:

How many years????????

4 0
3 years ago
Pls check picture! Pls give me answer pls! ASAP Right answer. if you dont know dont answer pls!!!! Right Answer for brainliest!
lyudmila [28]

Answer: The answer is 6 and 4.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • If the function f is given by f(x)=2x2−4, then which of the following represents the value of c such that f(c)=28? Select one: A
    6·1 answer
  • In a typical children's soccer game, there is one goal scored approximately every 18 minutes. The number of goals scored follows
    13·1 answer
  • Perpendicular to x = 3<br>Passes through (-3,-1)​
    11·1 answer
  • Classify the conclusion of the hypothesis test as a Type I error, a Type II error, or a correct decision. In 1991, the average m
    5·1 answer
  • Nate's weekly pay increased from $710 to $770. Which of the following is closest to the
    5·1 answer
  • Please complete these problems before we meet at 10 am. I want you to be able to explain to me how you got each answer. SHOW YOU
    8·1 answer
  • 1. If 6.5 pounds of cherries cost $12, what is the
    10·2 answers
  • Please help! The question is in the image
    13·2 answers
  • show that the lines x2-4xy+y2=0 and x+y=3 form an equilateral triangle also find area of the triangle
    12·1 answer
  • I need help with this please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!