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
vagabundo [1.1K]
3 years ago
11

What is the solution set of the equation using the quadratic formula? x2+6x+10=0 {−3+2i,−3−2i} {−6+2i,−6−2i} {−3+i,−3−i} {−2i,−4

i}
Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

The solution set of the quadratic function x^{2}+6\cdot x +10 is \{-3+i,-3-i\} .

Step-by-step explanation:

Let be a second-order polynomial (quadratic function) is standard form and equalized to zero:

a\cdot x^{2}+b\cdot x + c = 0

Its roots can be determined by the Quadratic Formula in terms of its polynomial coefficients, which states that:

x_{1,2} = \frac{-b\pm\sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}

Given that a = 1, b = 6 and c = 10, the roots of the polynomial are, respectively:

x_{1,2} = \frac{-6\pm \sqrt{6^{2}-4\cdot (1)\cdot (10)}}{2\cdot (1)}

x_{1,2} = -3\pm i

x_{1} = -3+i

x_{2} = -3 -i

The solution set of the quadratic function x^{2}+6\cdot x +10 is \{-3+i,-3-i\} .

You might be interested in
3a-4b+5c;4a +11b+2c<br>please solve extra points​
Harlamova29_29 [7]

Answer: a =3c-15b

              b = c/5-a/15

Step-by-step explanation:

8 0
3 years ago
-2a-9=6a+15<br> Idk how to this equation could someone plzz consider helping me?
ollegr [7]

-2a-9=6a+15

Move 6a to the other side. Sign changs from +6a to -6a.

-2a-6a-9=6a-6a+15

-2a-6a-9=15

-8a-9=15

Move -9 to the other side. Sign changes from -9 to +9.

-8a-9+9=15+9

-8a=15+9

-8a=24

Divide both sides by -8

-8a/-8=24/-8

a=-3

Answer: a=-3

8 0
3 years ago
An elevator starts at the basement with 8 people (not including the elevator operator) and discharges them all by the time it re
Rus_ich [418]

Answer:

1287

Step-by-step explanation:

Number of people in elevator , n = 8

Number of floors, r = 6

Since they all look alike, arrangement doesn't matter, the we use combination :

(n+r-1 r - 1) = (8+6-1 C 6-1) = 13C5

Recall:

nCr = n! / (n-r)!r!

13C5 = 13! / (13-5)!5!

13C5 = 13*12*11*10*9 / 5*4*3*2*1

= 1287

4 0
3 years ago
the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of th
miss Akunina [59]

Answer:

The volume of the pyramid is V=187\ ft^{3}

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

B=93.5\ ft^{2}

H=6\ ft

substitute

V=\frac{1}{3}(93.5)(6)=187\ ft^{3}

5 0
3 years ago
Read 2 more answers
Find the Area &amp; Circumference of a circular pizza with a diameter of 22.0cm.
nirvana33 [79]

Answer:

  • Circumference = 69.14cm
  • Area = 380.29cm²

Step-by-step explanation:

Circumference.

Circumference of a circle is calculated by the formula:

= Pie * diameter

= π * diameter

= 22/7 * 22

= 69.14 cm

Area

Area of circle:

= Pie * radius ²

Radius = diameter/2

= 22/2

= 11 cm

Area = 22/7 * 11²

= 22/7 * 121

= 380.29 cm²

6 0
3 years ago
Other questions:
  • Find the value of the underlined digit in 16403
    10·2 answers
  • Sin idkxodnjxrubxhd hbdy budbhzbehzndhwxurbx
    14·1 answer
  • Pls help ASAp I will mark u brainliest
    9·2 answers
  • Blocking in experimental design is useful because it:
    15·2 answers
  • Complete the statement.<br> -6/7 -3/7<br> &lt; &gt;
    14·1 answer
  • Parallelograms <br> please finish this off
    14·1 answer
  • PLLSSS REALLY URGENT <br> If g(x)=3x+4, determine n that g(-3)=g^-1(n).
    7·1 answer
  • Emily has 7 photos on one page of an album. She has 3 photos on each of the other 9 pages. How man photos are in Emily's album?
    6·1 answer
  • Find the quotient. Use a model to help you divide
    11·1 answer
  • HELP PLEASE URGENT, ASAP. THIS IS GRADE 11 TRIGONOMETRY ILL GIVE THE BRAINLIEST!!!!!!!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!