Mathematics High School

Find the solution set of the following equation in simplest a +bi form.
x² - 6x +12 =-10x+3
Please help quick

Find The Solution Set Of The Following Equation In Simplest A +bi Form.x - 6x +12 =-10x+3 Please Help

Answers

Answer 1

Answer:

[tex]-2\pm i\sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^2-6x+12=-10x+3\\x^2+4x+9=0[/tex]

For the quadratic formula, [tex]a=1,\,b=4,\,c=9[/tex].

[tex]\frac{-b \pm\sqrt{b^2-4ac}}{2a}=\frac{-4\pm\sqrt{16-4(1)(9)}}{2(1)}=\frac{-4\pm\sqrt{-20}}{2}\\=\frac{-4\pm 2\sqrt{-5}}{2}=-2\pm\sqrt{-5}=-2\pm i\sqrt{5}[/tex]

Related Questions

Jeff is buying books at a used bookstore. He wants to approximate the total cost of his purchase before checking out. Which amount is the most reasonable approximation of the total price of the 5 books?

Answers

Answer:

35 is a reasonable amount

Step-by-step explanation:

Since all of the books cost around $7 and there are 5 books

when you multiply 7x5=35

Please help me with this

Answers

Answer:

1850is the correct answer

1850:) hope this helps

Write the number in scientific notation.
98,000
X10^

Answers

Answer:

9.8x10^5 really hope this helps

Answer:

980,000,000,000,000

Step-by-step explanation:

plssssss helpppppppppppppppppppp

Answers

Answer:

c

Step-by-step explanation:

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

A. 356

Step-by-step explanation:

Answer:

Step-by-step explanation:

how r u in highschool and not know this-

anyways... its 356

PLEASE HURRY!!!
NO LINKS OR FILES, JUST THE CORRECT ANSWER AND I WILL GIVE BRAINLIEST IF THERE ARE ANY LINKS I'LL REPORT YOUU

Answers

Answer:

so the 2 questions i see are surveys so... you have to answer them with truth on your own self

Step-by-step explanation:

Answer:

hi i am the person that you are talking to with all the comments give him brainliest

Step-by-step explanation:

Jane borrowed $800 from a bank for 4 years and was charged simple interest. The total interest that she paid on the loan was $160. As a percentage, what was the annual interest rate of her loan?

Answers

It is 5% due to 50% being 400 which makes 5 percent 40

Which function is represented by the graph below?

graph begins in the second quadrant near the x-axis and increases slowly while crossing the ordered pair 3, 1. Then the graph begins to increase quickly throughout the graph

(5 points)


f(x) = 3x
f(x) = 3x − 3
f(x) = 3x + 3
f(x) = 3(x − 3)

Answers

The answer should be the third one

Help I pick you for brainlist

Answers

Answer:

a, bx squared

Step-by-step explanation:

Find the volume of the pyramid. Someone help plz

Answers

Answer:

2880

Step-by-step explanation:

10 x 8 x 6 x 12 = 5760/2 = 2880

HELP DUE IN 10 MINS!

x =??

Answers

Answer:

x = 11

Step-by-step explanation:

Using Secants ad Segments Theorem we can say;

(x + 7) (7) = (15 + 6) (6)

7x + 49 = (21) (6)

7x + 49 = 126

7x = 77

x = 11

Hope this helps!

X= 11

Hope this helps : )

Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.

Answers

Answer:

B,D,E

Step-by-step explanation:

Answer:

Thanks for The question the guy above his answer is correct thanks for looking I got 100% on the test

Step-by-step explanation:

I'll give BRAINLIEST PLEASE ANSWER

Answers

Answer:

C

D

Step-by-step explanation:

there's nothing to explain here. just basic

Answer: C

Step-by-step explanation: To simplify the first equation given, you use the process of elimination. There are three of the same variable, s, and that would be simplified to 3s. After that everything remains the same. Making C equivalent to the given equation.

How is an equation like an expression? How is it different?

Answers

Answer:

See explanation.

Step-by-step explanation:

An expression is a set of terms that are combined using addition, subtraction, multiplication, or division. The following are examples of expressions:

[tex]2x-1[/tex]

[tex]5y+8[/tex]

[tex]2[/tex]

Note: expressions do not equal anything.

In contrast, equations are expressions that equal at least one term. The following are examples of equations:

[tex]2y-4=26[/tex]

[tex]4x-4=0[/tex]

[tex]x=10[/tex]

[tex]y=x+2[/tex]

Note: equations do equal a term, as shown in the examples.

HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

I think it’s option 1 (if its wrong Im sorry but good luck)

Karen and Max tracked the number of emails that they received each day over the last month. Which statement is supported by the data?


A. Max and Karen’s IQR values are the same.
B. Max’s median is greater than Karen’s median.
C. Max’s maximum is greater than Karen’s maximum.
D. Max’s data is more symmetrical than Karen’s data.

Answers

Answer:

Step-by-step explanation:

Question is in the screenshot...

Answers

Step-by-step explanation:

m L 1 = 130° (alternate interior angles)

m L 2 = 180°- m L 1 (supplementary)

= 180° - 130° = 50°

Vertical angles are supplementary

m<2

180-13050°

m<1

180-50130°

What is the sum of ( 3 . 4 × 10 8 ) + ( 7 . 5 × 10 8 ) ?
A.
1
.
09
×
10
9
B.
1
.
09
×
10
8
C.
1
.
09
×
10
17
D.
1
.
09
×
10
16

Answers

What is the value of 3x plus 5y when x equal 12 and y equal 4

Can someone answer this

Answers

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 1, 1 ]

f(b) = f(1) = 3 ← value of y when x = 1

f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1

average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]

How do you find a factor in a graph?

Answers

you look for the points where x=0 or when the graph touches the x axis

Tom started an entertainment company. The net value of the company (in thousands of dollars) ttt months after its creation is modeled by v(t)=4t^2-24t-28v(t)=4t 2 −24t−28v, left parenthesis, t, right parenthesis, equals, 4, t, squared, minus, 24, t, minus, 28 Tom wants to know when his company will be at its lowest net value. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.

Answers

Answer:

[tex]v(t) = 4(t -7)(t +1)[/tex]

Step-by-step explanation:

Given

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Required

Rewrite in a different form

To write in a factored form, we have:

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Expand

[tex]v(t) = 4t^2 +4t- 28t - 28[/tex]

Factorize

[tex]v(t) = 4t(t +1)- 28(t +1)[/tex]

Factor out t + 1

[tex]v(t) = (4t -28)(t +1)[/tex]

Factorize 4t - 28

[tex]v(t) = 4(t -7)(t +1)[/tex]

Find the perimeter of the right triangle. If necessary, round to the nearest tenth. a. 13 in. b. 169 in. c. 60 in. d. 30 in.

Answers

Question: Find the perimeter of the right triangle. If necessary, round to the nearest tenth. 4 cm 15 cm a. 15.5 cm

b. 30 cm

c. 60 cm

d. 34.5 cm​

Answer:

d. 34.5 cm

Step-by-step explanation:

Applying

Perimeter of the right triangle (P) = a+b+c

P = a+b+c.................... Equation 1

But we can find the hyotenuse (a) using pythagoras theorem

a² = b²+c²

a = √(b²+c²)............... Equation 2

Substituting equation 2 into equation 1

P = √(b²+c²)+b+c................... Equation 3

From the diagram,

Given: b = 4 cm, c = 15 cm

Substitute these values into equation 2

P = √(4²+15²)+4+15

P = √(241)+4+15

P = 15.5+4+15

P = 34.5 cm

Hence the right answer is d. 34.5 cm

-3×1/4-6 please help im losing my mind

Answers

Answer:

-45/4 or -11.25

I'm pretty sure this is right hope it helps

Answer:

Simplify the expression:

Exact form:

-27/4

Decimal form:

-6.75

Mixed number:

-6 3/4

Step-by-step explanation:

The / actually means to divided.

Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]3\sqrt{3}[/tex] = a

Step-by-step explanation:

We can solve this in 2 ways, The easier way would be:

Tan(60) = a/3

=> Tan(60) * 3 = a

=> [tex]3\sqrt{3}[/tex] = a

Hope this helps!

The radius of a cylinder is measured in inches. What unit will the volume be measured in?
will give brainlist
cubic inches
feet
square inches
inches

Answers

Answer:

Cubic Inches

Step-by-step explanation:

I hope this helps you.

5 dividido en 1.35.

Answers

Answer:

3.7

Step-by-step explanation:

Each side of a square is 62/3 m long. Find its Area

Answers

Answer:

=> (62/3)m

Step-by-step explanation:

=> (62/3)²

=> (62)²/(3)²

=> 3844/9 m²

Answer:

427.11111

Step-by-step explanation:

This is the answer

what is x? Options: 81, 57, 143, 66.

Answers

Answer:

x = 103

Step-by-step explanation:

In my opinion, because x and 77 are the supplementary angles, so 180-77 = x or x+77=180. The answer should be 103......even though it's not in the options (I'm sorry).

Answer:103 degrees

Step-by-step explanation:

Straight line equals 180 degrees

180 degrees minus 77 degrees = 103 degrees

Simplify -8+4(-3)/5

A.) -4
B.) 4
C.) -4/5

Answers

c.) -4/5 because you simplify the top

What is the Theoretical Probability of landing on red? *
(10 Points)
43%
40%
36%
33.3%

Answers

2/6, that in percentage form is 33.3%
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