Match the reasons with the statements.

GIVEN: x2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2
1. x2 + 6x + 2x + 12 = 0 Combining like terms

2. x2 + 8x + 12 = 0 Distributive Postulate

3. (x + 6)(x + 2) = 0 Zero product postulate

4. x + 6 = 0 or x + 2 = 0 Subtraction property of equality

5. x = -6 or x = -2 Given

I WILL REPORT U IF U DONT ANSWER CORRECTLY AND FULLY!!!!

Answers

Answer 1

Answer:

Concept: Mathematical Derivation

We are given x^2 +6x+2x+12 Hence we simplify: x^2 + 8x +12 Now we factor: (x+2)(x+6) By mathematical logic we now proved that the roots are x=-2 and x=-6 Give brainlist and rate positively

Related Questions

if I would have 160$ and was discounted by 75 percent and if used a PROMO CODE and it gave me 10 percent off how much would I have​

Answers

Answer:

10 percant off how much would i have

what's the difference between 5 and
[tex]2 \sqrt{5} [/tex]

Answers

the difference between these two are:1. 5 is a rational number but 2√5 is an irrational number.

5 is a rational number and 2_/5 is irrational.

6th grade math i mark as brainliest​

Answers

The variable is U and the coefficient is 7.6

Plz help. Will give brainliest to best answer

Answers

Answer:

9

Step-by-step explanation:

11cos35

Answer:

x = 9.0

Step-by-step explanation:

cos(35) = [tex]\frac{x}{11}[/tex]  

11cos(35) = x

x = 9.0

Let the area of a rectangle in square metres is
[tex] {x}^{2} + 13x + 42[/tex]
How much longer is the length than the width of the rectangle?
A. 7m
B. 8m
C. 1m
D. 6m

Answers

Answer:

C)1m

Step-by-step explanation:

So the length and width is

x²-13x+42=0

(x-7)(x-6)=0

x-7=0

x-6=0

x=7 (length)

x=6 (width)

So the difference between length and width is

=7-6

=1m

Answer:

[tex]C.1\ m[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Area\ of\ the\ rectangle=x^2+13x+42\\Hence\ lets\ factorize\ this\ area\ completely:\\x^2+13x+42\\=x^2+6x+7x+42\\=x(x+6)+7(x+6)\\=(x+7)(x+6)\\Hence,\\Area\ of\ the\ rectangle=(x+7)(x+6)\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Area\ of\ a\ rectangle=lw\\Here,\\lw=(x+7)(x+6)\\Hence,\\l=(x+7),w=(x+6)\ or\ l=(x+6),w=(x+7)\\But\ generally\ the\ length\ of\ a\ rectangle\ is\ greater\ than\ it's\ width.\\Hence\ the\ first\ solution\ is\ suitable\ here.\\[/tex]

[tex]Hence,\\l=(x+7),w=(x+6)\\Hence\ in\ order\ to\ find\ the\ difference\ between\ the\ length\ and\ width\\ we\ must\ perform\ the\ operation :l-w\\Hence,\\(x+7)-(x+6)\\=x+7-x-6\\=1\ m[/tex]

The population of a town is 9,000, and it grows at a rate of 4.6% per year. What will the population be in 10 years ?

Answers

Answer:

13410

Step-by-step explanation:

So, first we find 4.6% of 9000

9000 x .046 = 414

Then we multiply the 414 by 10 because they gain 414 people every year and we need to find how many people after 10 years

414 x 10 = 4140

now add 4140 and 9000

Answer = 13140

Addison is going to invest in an account paying an interest rate of 3.1% compounded continuously. How much would Addison need to invest, to the nearest dollar, for the value of the account to reach $910 in 18 years?​

Answers

Answer: $521

Step-by-step explanation:

What is the area of this triangle?

Answers

the area of the triangle is 18
The area of the triangle is 18

You buy five books that are equal in
price and a DVD for $8. Your total
comes to $26.50. Write an equation
that would help you determine the cost
of one book.
Help!

Answers

Answer:

5x+8=26.50

Step-by-step explanation:

Because the books are equal in price, we can use x to represent the price of the books and 5 to represent the amount, so it would be written as 5x. Then we add 8 because that's the price of the one DVD. It tells the total is 26.50, so the full equation written would be 5x+8=26.50

5x + 8 = 26.50 ; x represents the price of 1 book

I need help! 6th grade math! ASAP! Only 1 and 3. 10 Points each! WILL GIVE BRAINLYEST!!!

Answers

Answer:

Where is the pic?

I will answer in the comments or edit my answer once u post the pic!

:D

5. a) Determine the total surface area of
this tent, including the floor, in order to
estimate the amount of canvas needed
to construct it.
b) What is the volume of the tent?
13m
22 mm
13.5 m
3 m
I
4 m
4 m
Unit 6​

Answers

Step-by-step explanation:

Radius of the conical part = radius of cylindrical part r=

2

3

m

Slant height of the cone l=2.8 m

Height of the cylinder, h=2.1 m

Canvas needed to make the tent = Curved surface area of the conical part + curved surface area of the cylindrical part.

Curved surface area of conical part = πrl=

7

22

×

2

3

×2.8=13.2

Curved surface area of cylindrical part =2πrh=2×

7

22

×

2

3

×2.1=19.8

Total surface area = Curved surface area of conical part + Curved surface area of cylindrical part

=13.2+19.8=33 m

2

Cost of 1 m

2

canvas = Rs. 500

Cost of 33 m

2

canvas =33×500=16500

Therefore, it will cost Rs. 16500 for making such a tent.

it costs $42 for 7 staplers. what is the unit rate for the stapler?

Answers

Answer:

The answer is 6

Step-by-step explanation:

42 divided by 7=6

a car was purchased last year for $28,500. now its value is $25,510. at what rate is the car's value depreciating each year?

Answers

Answer:

The car's value is depreciating by $2,990 per year.

Step-by-step explanation:

To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.

28,500 - 25,510 = $2,990

Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.

Hope this helps! :D

Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

it has zero slope because it is a horizontil line

Step-by-step explanation:

A small town has two local high schools. High School A currently has 500 students and is projected to grow by 80 students each year. High School B currently has 700 students and is projected to grow by 30 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine how many students would be in each high school in the year they are projected to have the same number of students.

Answers

The equation that represent the number of students in High School A at time t is AA =  500 + 80tt.

The equation that represent the number of students in High School B at time t is BB = 700 + 30tt.

The number of students when both schools would have the same number of students is 820.

When would the school have the same number of students?

The equation that represent the number of students in High School A :

current number of students + (number of years x rate of increase)

AA =  500 + 80tt.

The equation that represent the number of students in High School B at time t is:

current number of students + (number of years x rate of increase)

BB = 700 + 30tt.

When the schools would have the same number of students, the two equations would be equal:

700 + 30tt = 500 + 80tt

700 - 500 = 80tt - 30tt

200 = 50tt

tt = 200 / 50

tt = 4

Population = 500 + (80 x 4)

500 + 320 = 820

To learn more about linear equations, please check: https://brainly.com/question/26434260

#SPJ1

someone answer these for me-​

Answers

1.) B
2.) A

lmk if you need me to explain

Answer:

First question is D, (2/3)x+7

Second is A, m = (-1/3)

Step-by-step explanation:

parallel lines have the same slope. m=slope.

perpendicular lines are opposite sign reciprocals. slope is 3, perpindicular slope is (-1/3)

There are 82 candies. 4 candies more are added. How many are there total?​

Answers

Answer:

86

Step-by-step explanation:

82+4=86

Answer:

86 candies

Step-by-step explanation:

Just do 82+4= 86 candies

–2.5 + (–3.5)

Which number line shows the sum?
A.
B.
C.
D.

Answers

the answer is......... -6

Answer:

The correct answer is C.

Step-by-step explanation:

Because –2.5 + (–3.5) = -6, it means  that the red line goes from -6 to -3 1/2 to 0. so that gives us Answer choice C

jason sees that 2 out of every 5 cars that passes by his house has the windshield wipers on. What is the probability that that of the next 4 cars that pass his house, 2 will have their windshield wipers on?

Answers

Maybe like fifty percent ?

What is the measure in degrees for the central angle of a circle whose radius is 8 cm and intercepted arc length is 5.6 cm?

Answers

Answer:

0.7

Step-by-step explanation:

Please please please help me with this !!!!!!

Answers

Answer:

Measure of angle T is 67.5 and measure of angle V is 22.5

Step-by-step explanation:

Solve for x

All the angles in a triangle equal 180

So,

3x + x +90 is 180.

Subtract 90 from both sides

3x+x = 90

Add like terms

4x = 90

Divide by 4 to solve for x

x = 22.5

Now substitute 22.5 in for 3x and x

Measure of angle T is 3(22.5) = 67.5 and measure of angle V is 22.5

yo can you help me with this

Ahoy there, matey! Our pirate ship had 5/6 of a treasure chest full of gold. Then we plundered an enemy ship and took their 3/8 of a treasure chest full of gold. How many treasure chests full of gold do we have now?

Answers

Answer:

1 5/24

Step-by-step explanation:

5/6+3/8

find common denominator: 24

5/6=20/24 3/8=9/24

add:

20/24+9/24=29/24

simplify:

29/24=1 5/24

hopefully this helps :)

Answer:

[tex]\frac{11}{24}[/tex]

Step-by-step explanation:

can someone help me with this?

Answers

Answer:

1 is C and 2 is B

Step-by-step explanation:

Is the following relation a function?

Relation:
X Y
-4 2
-2 1
0 0
1 2

The domain:
{-2,-4, 0, 1 }

The range:
{ 0, 1, 2 }

Answers

It is a function because when the x’s repeat then it's a none function

What scale factor was used to produce the image?
A. 49
B. 18
C. 7
D. 1

Answers

The answer is

C. 7

You count the boxes along the green line.

Haley brought 4 boxes of candy canes at the santa store if each box of candy canes cost $2.65 and she paid with a twenty dollar bill how much change should get back

Answers

Answer: $9.04

Step-by-step explanation:

one box is $2.65 and $2.65x4=$10.09 and if there is a $20.00 then $20.00-$10.09=$9.04. :P

If x=−1 and y=−3, then 5(x2−7+y)=

Answers

Answer:

-60

Step-by-step explanation:

5(-1 times 2 -7 -3) = 60

The value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].

Important information:

The given expression is [tex]5(x^2-7+y)[/tex].The given values are [tex]x=-1,y=-3[/tex].Value of expression:

Substitute [tex]x=-1,y=-3[/tex] in the given expression.

[tex]5((-1)^2-7+(-3))=5(1-7-3)[/tex]

[tex]5((-1)^2-7+(-3))=5(-9)[/tex]

[tex]5((-1)^2-7+(-3))=-45[/tex]

Therefore, the value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].

Find out more about 'Value of expression' here:

https://brainly.com/question/556937

Which pair of operations are not inverses?
a. Taking the square root of a number and squaring
b. Addition and subtraction
c. Multiplication and division
d. Squaring and division

Answers

D. Squaring and division since squaring is multiplying the number by itself while division is just dividing. They aren’t inverses

An expert diver is looking for a particular species of fish along the coastline. He dives 22 feet below the surface of the ocean. Then he dives down 7 feet and down another 4 feet before he finds the species of fish he is looking for. What was the depth at which the diver finds the fish​

Answers

Answer:

-55

Step-by-step explanation:

Need help on this, please

Answers

Answer: 30 something?

Step-by-step explanation:

Other Questions
Select the correct answer.Which of the following statements is TRUE?A. A vegan is a person who chooses not to eat meat, but will eat milk or other animal products.B. A vegetarian is a person who chooses not to eat any animal products.C. Vegans and vegetarians need to eat a variety of protein-rich foods.D. There is no way for vegans and vegetarians to get all the protein they need. Apollo Inc. has an unfunded pension liability of $900 million that must be paid in 30 years. If the annual interest rate is 6% compounded semiannually, what is the present value? A particular satellite is 10 ft wide. Amodel of it was built with a scale of 1 in :2 ft. How wide is the model? 8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate? Use a proportion to explain. Phycobiliproteins are complex proteins in cyanobacteria that absorb light energy. There are three kinds of phycobiliprotein molecules used to pass light to chlorophyll: phycoerythrinresponsible for capturing green light, phycocyaninresponsible for capturing orange-red light, and allophycocyaninresponsible for capturing red light.Since light can only penetrate to certain depths in oceans (figure 1), phycobiliproteins capture the light available and pass it through various pathways of phycobiliproteins until the emitted light is red, which is absorbed by chlorophyll. (4 points)A. Explain the relationship between chlorophyll absorption and wavelength.B. In addition to the pigments commonly associated with photosynthesis, a certain photosynthetic species contains two additional pigment types. Which of the following best justifies the claim that this species is better adapted to environmental changes than the cyanobacteria described above? A 60-W light bulb radiates electromagnetic waves uniformly in all directions. At a distance of 1.0 mfrom the bulb, the light intensity is I0, the average energy density of the waves is u0, and the rms electric and magnetic field values are E0 and B0, respectively.At 2.0 m from the bulb, what is the light intensity? -3,0 and 2 are the zeroes of the polynomial p(X)=x+(a-1)x+bx+c ,find a,c. Most animals living in the_______migrate or hibernate during the winter. options:Tropical RainforestDesertTudra Help me, please!!!!!!!! What are the disadvantages of pteridophytes? I rlly need this quick please and thank you they do this to me and im so mad 2(x+7) + 3(x+1)pls help If the school supply kit regularly cost $25 how much does it cost after the 20% discount In the phrase, "Unhealthy diets often contain disproportionate amounts of carbohydrates," what does "disproportionate" mean?A) UnbalancedB) DangerousC) NutritiousD) Perfect Determine the two ordered pair solutions of the equation y = 2x2 + 3x , given (0, ), and (-2, ). Pls answer this 100 points pls HELP So in an atom, are there the same number of protons as electrons??? If so, then how are some electrons and protons negative and positive. And also, what is the net charge??***IK that this isn't a math question but no one answers in science . . . PLZ PLZ PLZ HELLLPPPPP!!!!Dialect often reflects one or more of the following characteristics EXCEPT ______________. geographic location historical time period social status genre What happens on a cladogram as you move farther away from the base (and closer to the tips)?A)The species before more and more similar.B)The species share no common traits.C)The species share fewer common traits.D)The species all become extinct.