Solve the following equation by completing the square:
x^2 + 4x = 2

Answers

Answer 1

Answer:

.

Step-by-step explanation:

Answer 2

Answer:

[tex]x=\sqrt{6}-2,\:x=-\sqrt{6}-2[/tex]

Step-by-step explanation:

[tex]x^2 + 4x = 2[/tex]

[tex]\left(x+2\right)^2=6[/tex]

[tex]x=\sqrt{6}-2,\:x=-\sqrt{6}-2[/tex]


Related Questions

Pleaseee helppp ASAP

Extra 100 points
And brainliest

Answers

Answer:

what help I can do for you

Answer:

where is the questions

Step-by-step explanation:

you should write correct question

Please help me complete this. And please do not guess
Answer the following questions:
1. Find the scale factor of ABCDE to VWXYZ.
2. Find the scale factor of VWXYZ to ABCDE.
3. Find the value of r.
4. Find the value of s.
5. Find the value of t.
6. Find the value of u.
7. Find the perimeter of ABCDE.
8. Find the perimeter of VWXYZ.
9. Find the ratio of the perimeter ABCDE to the perimeter of VWXYZ.

Answers

Answer:

1. 1/3

2. 3

3. 9

4. 13.5

5. 7

6. 5

7. 23.5

8. 70.5

9. 1:3

Based on the table, how much more money would a person with a bachelor's degree earn than a person with an associate's degree over a 30 year career?

A) $16,000
B) $480,000
C) $1,095,000
D) $1,575,000

Answers

Answer:

B) $480,000

Step-by-step explanation:

Annual salary of a person with associate's degree

= $36,500

Over a 30 year career the person would earn;

= 30 × 36500

= $10,95,000

Now, annual salary of a person with bachelor's degree = $52,500

Over a course of 30 years he would earn;

= 30 × 52500

= $15,75,000

Difference = $15,75,000 - $10,95,000 = $480,000

So the person with bachelor's degree would earn $480,000 more than a person with associate's degree.

I really need help and if I don't get this done by today I am going to get a zero https://s3.amazonaws.com/content.accelerate-ed.com/Elementary/docs/Math5/Module10Assignment1.pdf pls help I am going to cry

Answers

Answer: You can't expect everybody to do your work for you. I thought It was 1 question and that's a whole packet. At least look it up on the internet or go ask your parents/siblings. Im not tryna be rude but If I could help you, I would but there are too many questions. Sorry.

Step-by-step explanation:

Find the slope of the line passing through the points (-7, 8) and (5, -7).

Answers

Answer:

m = -5/4

Step-by-step explanation:

m = rise/run = (y2-y1)/(x2-x1)

(-7 - 8)/ (5 - -7)

-15/12

-5/4

A right triangle undergoes a sequence of transformations to generate a new
triangle. Which of the following sequences of transformations would result in
the two triangles being similar but not congruent?

Answers

Answer:

Option a.

Step-by-step explanation:

Two figures are similar if they have the same shape, but maybe different sizes, so if we have a triangle, and we dilate/contract it with a scale factor K, the original triangle and the dilated/contracted one will be similar.

Two figures are congruent if they have the same shape and size. For example, transformations that do not change the size will make congruent figures, those transformations are reflections, rotations and translations.

Now we need to find a sequence of transformations that would result in the two triangles being similar but no congruent, then we need to find the sequence of transformations that has a dilation/contraction in it.

The only sequence that has a dilation is the first one:

a) Rotation 90° centered about the origin, followed by a dilation of scale factor 3 centered about the origin.

Then option a is the correct one.

A triangle has three angles that measure 30 degrees, 70 degrees What is the value of x?

Answers

Answer:

x = 80

Step-by-step explanation:

Sum of all the angles of triangle = 180

30 + 70 + x = 180

       100 + x = 180        {Subtract 100 from both sides}

                x =  180 - 100

                x = 80°

In a class of 29 students, 20 have a brother and 8 have a sister. There are 3 students who do not have any siblings. What is the probability that a student chosen randomly from the class is an only child?

Answers

Answer: 1/4 = 0.25 = 25%

Step-by-step explanation:

Let x be the number of students having both brother and sister.

Brother only is 9-x

Sister only is 16-x

Brother only + sister only + both + neither = 28

(9-x) + (16-x) + x + 7 = 28

32 - x = 28

x = 4

The probability per the diagram is 4/16 = 1/4

Per definition of conditional probability:

prob( brother | sister) = prob ( brother AND sister) / prob ( sister)

            = 4/16 = 1/4

1/4 = 0.25 = 25%

Answer:

3/29

Step-by-step explanation:

It's right trust me.

Write the equation of the line that passes through the points (−3, 5) and (2, -10) in slope-intercept form.​

Answers

Answer:

[tex]y=-3x-4[/tex]

Step-by-step explanation:

Hi there!

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (−3, 5) and (2, -10)

[tex]m=\frac{-10-5}{2-(-3)}\\m=\frac{-10-5}{2+3}\\m=\frac{-15}{5}\\m=-3[/tex]

Therefore, the slope is -3. Plug -3 into [tex]y=mx+b[/tex] as m:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug one of the given points, (−3, 5) or (2, -10) into the equation and isolate b

[tex]5=-3(-3)+b\\5=9+b[/tex]

Subtract 9 from both sides

[tex]5-9=9+b-9\\-4=b[/tex]

Therefore, the y-intercept is -4. Plug -4 into [tex]y=-3x+b[/tex] as b:

[tex]y=-3x-4[/tex]

I hope this helps!

-1/2(-3y+10) combing like terms

Answers

Answer:

3/2y - 5

Step-by-step explanation:

1.5y-5 is the answer

plis help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Equation: 2x + 1 = 9x - 13

There are two chairs in each row.

Step-by-step explanation:

Looking at the problem, we see that Hue can form two rows of chairs with 1 left over, or 9 rows if she gets 13 more. With that information we can create the equation 2x + 1 = 9x - 13. Now let's solve for x.

2x + 1 = 9x - 13

What we can do first is subtract 9x from both sides. This is done so all of the variables are on one side. Thus that becomes...

2x + 1 - 9x = -13

Now, combine -9x and 2x to get -7x.

-7x + 1 = -13

Now subtract 1 from both sides. This is done so we solve for x directly.

-7x = -13 - 1

Subtract -1 from -13 to get -14.

-7x = -14

Now divide both sides by -7.

x = -14/-7

Divide -14 by -7 to get 2. Remember, dividing two negatives gives you a positive!

x = 2

With that, the equation is solved. There are 2 chairs in each row.

Part A
Consider the equation of two lines.
Line 1: -3x – 3y = 6.
The slope of the first line is
Line 2: 4x + 4y = 8.
The slope of the second line is
Part B.
What can we infer about the two lines?
PLEASE HELP

Answers

Answer:

-1 ; -1 ; the two lines are parallel

Step-by-step explanation:

To find the slope of the two lines, we can proceed in two different ways:

1) the faster is do the division: -a/b where a is the number the multiplies x and b is the number that multiplies y

line 1: m = 3/-3 = -1   line 2: -4/4 = -1

2) the second is to rewrite the two equation in the slope intercept form and find what term multiplies the x

line 1

-3y = 3x+6

-y = x + 2

y = -x -2

m = -1

line 2

x+y = 2

y = -x +2

m = -1

the two lines have the same slope, so they are parallel

Find the volume of the figure please.

Answers

Answer:

volume=90 sq m

Step-by-step explanation:

v=Ab×h

v=1/2(10)(3.6)×5

v=90 sq

hope it helps

hello. Someone help me solve all these. Will mark as brainliest. Thanks

Answers

Answer:

number 19 is letter B.hence express P(x) as the product of it's linear factors

you know that the y-ntercept point always has an x-coodinate of 0 what number can you substitute for x in the equation to find the y-intercept? show how to do this

Answers

Answer:

x=0

Step-by-step explanation:

Since y-intercepts lie on the y-axis, the x-coordinate must be 0.

30 feet
50feet
Gilbert's family is building a walkway between the second floor balcony on his house and his tree house. How long
will the walkway be?
Q. How long is the walkway?

Answers

Answer:

what in the world am i

Step-by-step explanation:

A rectangular ballroom is being carpeted. The room measures 30 feet by 25 feet. If the carpet costs $3.00 per square foot, then what is the cost of the carpet?

Answers

Answer:

$2250

Step-by-step explanation:

30 x 25 = 750 -> area

750 x 3= 2250

*Check Photo and no links please​

Answers

Answer:

725.51

Step-by-step explanation:

Some help me please i have 9 questions

Answers

awnser:

m<3=50

Step-by-step explanation:

seen in the picture if you need help let me know

which is greater (-27) or (-2-7)​

Answers

Answer:

(-27) is greater I'm pretty sure.

Answer:

(-2-7) is greater than (-27)

A class collects data on the number of movie tickets purchased and the total cost of those tickets. The class plots the data on a scatter plot. Which statement BEST interprets their results?

A.
There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.

B.
There is likely to be both correlation and causation between the number of movie tickets purchased and the total cost of those tickets.

C.
There is likely to be neither correlation nor causation between the number of movie tickets purchased and the total cost of those tickets.

D.
There is likely to be causation between the number of movie tickets purchased and the total cost of those tickets but not correlation.

Answers

Answer:

Step-by-step explanation:

There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.

'There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.' This statement best interprets their results.

What is correlation?

It is a relationship between two variables or events. However, one  variable doesn't actually cause the other.

What is causation?

Causation can be applied on two events or variables where variable 2 causes the variable 1.

The class collects data on the number of purchased and the total cost of those tickets.

Let, for a particular time period, this observation is recorded.

Hence, the number of movie tickets purchased and the total cost of those tickets this must be correlation. It can't be causation. Option: A is right.

Learn more about correlation and causation here: https://brainly.com/question/10971583

#SPJ2

angelique wants to find out how students in her class travel to school . design a question for her to find this data. include response boxes

Answers

Answer: Each box will have different ways of how students come to school

Step-by-step explanation:

1st box= who comes to school by a car

2nd box= who comes to school by public transport

3rd box= who walks to school

4th box= who rides a bike to school

5a-7=2a can someone also explain

Answers

Answer:7/3 or 2.333 for short.

Step 1 add both sides with seven, Step 2 simplify by adding the numbers,  

step 3 Subtract  2a from both sides of the equation,step 4 Combine like terms, step 5 Divide both sides of the equation by the same term,Step 6 Cancel terms that are in both the numerator and denominator.

Is 301 in the sequence below?
-9, -5,-1,3,7,...

Answers

Answer:

no

Step-by-step explanation:

Establish the nth term formula

There is a common difference d between consecutive terms, that is

d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 4 , then

[tex]a_{n}[/tex] = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13

Equate 4n - 13 to 301

4n - 13 = 301 ( add 13 to both sides )

4n = 314 ( divide both sides by 4 )

n = 78.5

Since n is not an integer then 301 is not in the sequence

301 doesn't belong to the sequence -9, -5,-1,3,7,...

What is A.P sequence?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The arithmetic sequence is given by a, a + d, a + 2d, a + 3d, … .

Hence, the formula to find the nth term is:

[tex]a_{n}[/tex] = a + (n – 1) × d.

where,

a = first term

d = common difference

n = number of terms

[tex]a_{n}[/tex] =  nth term

According to the question

Sequence  : -9, -5,-1,3,7,...

First term (a)= -9

common difference (d)=  -5 - (-9)

                                 =   4

[tex]a_{n}[/tex]   = 301

using the formula of nth term

[tex]a_{n}[/tex]  = a + (n-1)d

Substituting the value

301 = -9 + (n-1) 4

310 = (n-1) 4

77.5 = (n-1)

n = 78.5

as n always to be the whole number .

Hence, 301 doesn't belong to the sequence -9, -5,-1,3,7,...

To know more about A.P sequence here:

https://brainly.com/question/24205483

#SPJ3

7. Find the area of PQRS.
S(-4,5)
R(7,-1)
P-4,-34
Q(7,-9)

Answers

find the distance of each and then you’ll get the measurements also putting the points on the graph would help

Sharon skated for 6 2/3 hours last month and 2 2/3 hours this month. How many hours did Sharon skate in all?

Answers

Answer:

9 1/3

Step-by-step explanation:

6 2/3 + 2 2/3 = ?

6 + 2 = 8

2/3 + 2/3 = 4/3 = 1 1/3

8 + 1 1/3 = 9 1/3

Sharon skated for 9 1/3 hours.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

For the sum, find the number of terms, the first
term, and the last term. Then evaluate the
series. If necessary, round to 1 decimal place. If
your answer includes a negative, enter it like: -2,
etc.
Σ" (20 – η)
Number of terms:

Answers

Hey how you doing best friend wyd have a great day

Please help me so difficult

Answers

Answer:

it's easy

Step-by-step explanation:

See the triangle is having 2 sides equal so it is isosceles but not equilateral..

hope it helps

Answer:

This is an isosceles triangle because two sides are of equal length, and one side is a different length.

Step-by-step explanation:

simply the expression 2(10)+2(x+4)

Answers

Step-by-step explanation:

2(10)+2(x+4)

20 + 2x + 8

20 +8 +2x

28+2x

Answer :

2x+28

Explanation

Please help! I’ll make you brainliest

Answers

Answer:

w = 21

Step-by-step explanation:

Given that,

                      game 1                     game 2

Points               12                            18

Shots                 14                            w

One proportion is : [tex]\dfrac{12}{14}=\dfrac{6}{7}[/tex]

Other proportion is : [tex]\dfrac{18}{w}[/tex]

So,

[tex]\dfrac{6}{7}=\dfrac{18}{w}\\\\w=\dfrac{7\times 18}{6}\\\\w=21[/tex]

So, the value of w is equal to 21.

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