X2-12x+21=-6 solve the quadratic by factoring

Answers

Answer 1

Answer:

(x-3)(x-9)

Step-by-step explanation:

first thing you need to do is move the -6 over. so we're going to add 6 to both sides (we add because it's negative 6 and we need 0 on the right side)

so you have: x^2-12x+27

now we need to come up with two numbers that add to -12 and multiply to 27.

the factors of 27 are 9 & 3 and 27 & 1. only 9 & 3 add to 12 so we are going to use those.

since the 12 is negative however, 9 and 3 should both be negative.

therefore we get: (x-3)(x-9)

*it doesn't matter which order you put them in!


Related Questions

In January, Mrs Jones's business had spent $480 on raw materials. Based on the information in graph, how much money was spent on expenses in March?

Answers

Answer:

There is no graph

Step-by-step explanation:


The vertices of a rectangle are (-2,2), (1,2).(-2,-2),(1,-2)
vertices? Using this problem find the perimeter of the rectangle you have
to use the vertex you found for this problem. Please help :)

Answers

Answer:

20

Step-by-step explanation:

Answer: I think so it is 20

HOPE THIS HELPS :)

PLEASE SOMEONE HELP ME WITH THIS. NO LIN.KS!!!!!​

Answers

Answer:

1.

centre(h,k)=(-13,9)

radius (r)=6

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x+13)²+(y-9)²=6²

(x+13)²+(y-9)²=36you can write this equation too

x²+26x+169+y²-18y+81=36

x²+y²+26x-18y+169+81-36=0

x²+y²+26x-18y +214=0

is a required equation of the circle.

2.

centre(h,k)=(1,-1)

radius (r)=11

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-1)²+(y+1)²=11²

(x-1)²+(y+1)²=121

you can write this equation too

x²-2x+1+y²+2y+1=121

x²+y²-2x+2y=121-2

x²+y²-2x+2y=119

is a required equation of the circle.

3.

centre (h,k)=(3,1)

radius (r)=4units.

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-3)²+(y-1)²=4²

(x-3)²+(y-1)²=16 is a required equation.

4.

centre(h,k)=(4,-2)

radius (r)=3

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-4)²+(y+2)²=3²

(x-4)²+(y+2)²=9

you can write this equation too

Answer:

Whatever he just answered

Step-by-step explanation:

1.

centre(h,k)=(-13,9)

radius (r)=6

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x+13)²+(y-9)²=6²

(x+13)²+(y-9)²=36you can write this equation too

x²+26x+169+y²-18y+81=36

x²+y²+26x-18y+169+81-36=0

x²+y²+26x-18y +214=0

is a required equation of the circle.

2.

centre(h,k)=(1,-1)

radius (r)=11

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-1)²+(y+1)²=11²

(x-1)²+(y+1)²=121

you can write this equation too

x²-2x+1+y²+2y+1=121

x²+y²-2x+2y=121-2

x²+y²-2x+2y=119

is a required equation of the circle.

3.

centre (h,k)=(3,1)

radius (r)=4units.

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-3)²+(y-1)²=4²

(x-3)²+(y-1)²=16 is a required equation.

4.

centre(h,k)=(4,-2)

radius (r)=3

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-4)²+(y+2)²=3²

(x-4)²+(y+2)²=9

you can write this equation too

a man borrows money 800 for 2 years at a simple interest rate 20%. what is the total amount that must be repaid?

Answers

Answer:

3200

Step-by-step explanation:

Simple interest  = [ (Principle x Rate x time) /100 ]

Substitute all values: (800 x 2 x 20)/100 = 3200

Hope this helps

Answer:

1120

A=p+I I = prt/100=800x20x2/100=320

A= P+I=800+320=1120

12(r + t) - 6(r + t) + 4(r +t) - (r + t)

Answers

Answer:

10r+10t

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

9r+9t I hope this help

If a dog eats 1/4 pounds of food each day, how many days will it take the dog to eat a 5-pound bag of food?

Answers

Answer:

20 days

Step-by-step explanation:

cuz i am big brain thats y

Answer:

20 days

Step-by-step explanation:

1/4 times 5

No links or I’m reporting
Solve the following quadratic by
completing the square.
y = x2 + 2x - 6

Answers

Answer:

x = - 1 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

To solve the equation let y = 0 , that is

x² + 2x - 6 = 0 ( add 6 to both sides )

x² + 2x = 6

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 6 + 1

(x + 1)² = 7 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{7}[/tex] ( subtract 1 from both sides )

x = - 1 ± [tex]\sqrt{7}[/tex]

What type of function is this equation?
h(x) = 3x - 1
O Exponential
O Linear
O Quadratic

Answers

Answer:

Linear

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form: f(x) - mx +b

Hope this helps! :)

what is the equation

what is the domain

what is the range ​

Answers

Answer:

equation:   y = 5x

domain: all real numbers

range: all real numbers

Step-by-step explanation:

1. Find the mass of each of these objects on the earth.
(i) A girl of weight 18.6 N.
(ii) A lorry of weight 2205 N.
2.Find the magnitude and direction of the vectors :
a) s =
(-3)
b)t = ()
c) 2s + t

Answers

Answer:

hdhdujejeuhedudhdgdgdf egg ejeh

Which of the following is
correct scientific notation?
7.032 x 1^4
7.032 x 100^4
7.032 x 10^4
70.32 x 10^4

Answers

Answer:

Third

Step-by-step explanation:

.................

pls help with this immediately!!! i’ll be marking brainiest to those with the correct answer. if u leave a link, have fun getting reported.

Answers

Answer:

- Rhombus.

-Trapezoid

Step-by-step explanation:

Factor the expression:

x2-3x-10

Answers

Answer:

Step-by-step explanation:

Answer:

(x-5) (x +2)

Step-by-step explanation:

try this one, mathaway or photomath is a great app help me alot.

NEED ANSWERS NOW!! (Reward) brainlest and pointsss

Answers

Answer:

3072ft

Step-by-step explanation:

we have,

h(t)=-16t²+192t+2560

where

h -----> is the height in feet of the rock

t -----> the time in seconds

For t=8 seconds

substitute the value of t in the function and find the value of h

h(8)=-16(8)²+192(8)+2560

=3072ft

pls mark as brainliest

l need brainliest

(04.02 MC)
What is the y-intercept of the line perpendicular to the line y = -x + 3 that includes the point (3, 1)?
O
03
13
4
05

Answers

Answer:

Hi! The answer to your question is B. [tex](0,3)[/tex]

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!

- Brooklynn Deka

Multiply both polynomials together

Answers

Answer:

6x + 11x - 10

Step-by-step explanation:

So in order to solve this expression, we have to distribute the numbers in each set of parenthasis

Step 1 : break down each mini-espression you're solving

(2x+5)(3x-2)

each term is multiplied by both terms in the other set of parenthasis.

(2x · 3x) + (2x · -2) + (5 · 3x) + (5 · -2)

Step 2 : Solve each idividual piece

(2x · 3x) = 6x²

(2x · -2) = -4x

(5 · 3x) = 15x

(5 · -2) = -10

Step 3 : Put it all together amd simplify

6x² - 4x + 15x - 10

6x² + 11x - 10


Matt's savings account earns 2% interest each year. He had $200.00 in his savings account
at the beginning of the first year. If he did not deposit or withdraw any money, what is the
value of Matt's savings account at the end of the second year?

Answers

Answer:

208.08

Step-by-step explanation:

math

Answer:

204

Step-by-step explanation:

2% of 200 is 2 so after second year it will be 200,+2+2 that is 204

Find Thin Mints in radians

Need help with math homework

Answers

Answer:

a) Thin mints = 1.885 radians

b) Savannah smiles cookies = 0.332 radians

Step-by-step explanation:

To convert an angle from degree to radians, the formula is given as :

x ° × π/180 = radians

Where x = angle to be converted

From the diagram we are to convert Thin mints and Savannah cookies to radians

a) Thin mints = 108°

Converting to radians

= 108° × π/180

= 1.8849555922 radians

Approximately = 1.885 radians

b) Savannah smiles cookies = 19°

Converting to radians

= 19° × π/180

= 0.331613 radians

Approximately = 0.332 radians

Please help and write a proper answer I really need it. Thanks.

Answers

Answer:

To find the surface area of a cone, you need to calculate the cone’s base and the lateral surface area.

Since the base of a cone is a circle, then the base area (B) of a cone is given as:

Base area of a cone, B = πr²

Where r = the base radius of the cone

Step-by-step explanation:

Please help me :(

……………………………………………………………………...

Answers

jajwhwbbxncnnsjwkosxjcnxbdb sorry i need points

PLEASE HELP! What is the lateral area of the can below that has a diameter of 8 and a height that is three times the radius? Round to the nearest tenth. [Hint: Find the radius first]

Answers

Answer: 402.1

Step-by-step explanation:

   pls help ( only the 4th ignore the other questions, you’ll need the line plot for 4 )
And pls don’t give me any zip files, just give me the answer

Answers

Answer:

When the imposter is sus da da da da da da dada ding

Step-by-step explanation:

HELP ASAP ASAP PLEASE

Answers

Answer:

16

Step-by-step explanation:

20^2-12^2=256

400-144=256

sqrt 256 = 16

Answer is 16 hope this helps

Read the question and enter your response in the box provided. Use the tools and your keyboard to construct your response.
The distance between Boats 2 and Boat 3 is known to be 65 miles. Given the picture below, determine the distance between Boat 1 and Boat 3.

Answers

Answer:

no pic

Step-by-step explanation:

If a circle has a diameter of 16 feet, which expression gives its area square feet?

Answers

Answer:

C. 8² ·π

Step by Step Explanation:

A=πr²

Sarah is going on a trip. she drives for 2 hours and 20 minutes, rests for 25 minutes and drives for another 2 hours and 40 minutes. what is her total travel time in hours and minutes​

Answers

Answer:...,,,.

Step-by-step explanation:.....,l,,

What’s the answer to this?!!

Answers

Answer:

52

Step-by-step explanation:

Using the reverse Pythagorean Theorem we can get the answer quite easily. If  A^2 + B^2 = C^2, then by that same logic, C^2 - A^2 = B^2. That means 62^2, or 3844, minus 39^2, or 1521, equals 2323. The square root of that is 52.

Hope that this helps!

PLZ HELP NOW 80 POINTS DUE IN 30 MIN WIL GIVE BRAINLIEST!

Answers

Slope is change in y over change in x:

Slope = (5c - 3c) / ( 2c -c)

Slope = 2c/c = 2

The answer is D. 2

2. He did not plug the correct values into the numerical equation.

The answer should be B.

Find the measure of angle b.

Answers

Answer:

47°

Step-by-step explanation:

vertical angles are congruent

Pllzzzzzz someone help me

Answers

Answer:

3/10. 0.3

Step-by-step explanation:

when you divide mixed numbers you should reciprocate them I mean take the reciprocal and that was 2 and over every number there is one so I took 1/2 hope you understand why I kept 1/2 I took its reciprocal hope you understand if I'm wrong tell me right away I'll try it out good luck.

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