Which number line represents the solutions to |x + 4| = 2?

Which Number Line Represents The Solutions To |x + 4| = 2?

Answers

Answer 1

Answer: Option 1

Step-by-step explanation:

[tex]|x+4|=2\\\\x+4=\pm 2\\\\x=-4\pm 2\\\\x=-6, -2[/tex]

Answer 2

Solve Absolute Value.

| x + 4 | = 2

We know either x + 4 = 2 or x + 4 = −2

                                                                                                                                 

x + 4 = 2 (Possibility 1)

x + 4 - 4 = 2 - 4 (Subtract 4 from both sides)

x = -2

                                                                                                                                 

x + 4 = −2 (Possibility 2)

x + 4 - 4 = - 2 - 4 (Subtract 4 from both sides)

x = -6

Answer: x = - 2 or x = -6

Therefore we conclude that the solution of the exercise | x + 4 | = 2, is the first number line, since both results are negative.


Related Questions

No answer text provided.
No answer text provided.
HA < CH
HM > CH
AM = CK
MH < HC

Answers

Answer:

HM > CH

Step-by-step explanation:

You are correct, I didn't see the option HM > CH, which is correct, since the angle 90 degrees is larger than the angle 73, and then the sides opposite to them must follow suit.

Therefore, the correct answer is: HM > CH

The true statement from the triangles is (b) HM > CH

How to determine which must be true

From the question, we have the following parameters that can be used in our computation:

The figures

Next, we have

Angles at corresponding points = 90 degrees and 73 degrees

Since the angle 90 degrees is larger than the angle 73 degrees, and then the sides opposite to them must also have the same relationship

Using the above as a guide, we have the following:

The true statement is (b) HM > CH

Read more about triangles at

https://brainly.com/question/32215211


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Kevin is designing a cover for a comic book. He wants to have a rectangular grid with x ^ 2 - 3x - 10 squares in it, for some positive whole number x. What are the possible side lengths for the grid?

A. There are no possible whole number side lengths.
B. (x + 2) and (x - 5)
C. (x - 2) and (x + 5)
D. (x + 2) and (x + 5)

Answers

Answer:

(X+2) and (x-5)

Step-by-step explanation:

One side of a square has a measurement of 2x + 4. Write an expression to represent the perimeter of the shape.

Answers

Answer:

4(2x+4)

for example, if 5 were the length of a side you'd do 4(5). 4 because theres 4 sides and the formula for P is P= l+l+w+w OR P=2l+2w

How many types of congruence criterion are in total.Name them​

Answers

Answer:

Various types of Congruency are:

1. ASA (Angle Side Angle)

2. SSS (Side Side Side)

3. SAS (Side-Angle-Side)

4. AAS (Angle-Angle-Side)

5. RHS (Right angle-Hypotenuse-Side)

As of what I had learned (class 9) this is all but I am not sure if there are more

وبوبوبنبىبىبىبىبىبىبىىبنبهزا

Math sucks helppppp pls

Answers

Answer:

B

Step-by-step explanation:

Perimeter of the composite shape = ½ of the circumference of a circle + perimeter of a rectangle - Length of the rectangle

= ½*2πr + 2(L + W) - L

Where,

r = 8

π = 3.14

L = 16

W = 12

Perimeter of the composite shape = ½(2*3.14*8) + 2(16 + 12) - 16

= 25.12 + 56 - 16

Perimeter of the composite figure = 65.12 inches

Area of the composite figure = ½(πr²) + L*W

= ½(3.14*8²) + 16*12

= 100.48 + 192

Area = 292.48 square inches

5 divided by 3670 equals

Answers

Answer:

.0013623978

Step-by-step explanation:

0.0013624

3670 can fit 0.0013624 times in 5

Someone please help‍♀️

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
-10
(0,0)
(10,-2)
10
Rest of the options are
D.y=- 1/5x
E. Y=5x
F.y=x

Answers

Answer:

D. y=-1/5(x)

Step-by-step explanation:

To find the equation of a line, use the formula y=mx+b, where x and y represent your x and y coordinates, m is your slope and b is your y-intercept.

b is you y-intercept, this is where the line cuts the y-axis. We can see from the graph that the line cuts the y-axis at (0,0), so c=0.

Now we have y=mx

Sub in one of our points (10,-2):

-2=m10

m=-1/5

So our equation looks like this:

y=-1/5(x)

Plz help me I’m stuck

Answers

Answer:

$10.50

Step-by-step explanation:

15% of 70 = $10.50

Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)

Answer: $10

Step-by-step explanation:

15%= 0.15

67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.

en una casa construida con madera el tejado se sostiene con una estructura triangular en el que se utilizan ángulos complementarios ¿cómo se construye es estructura?¿qué pares de ángulos son congruentes ? ¿cómo se distribuye la carga que soporta?​

Answers

Answer:

Si me dieras una imagen con esto, podría responderla fácilmente, pero no hay una imagen o modelo para ayudar a disculparme.

Step-by-step explanation:

lo siento, tal vez vuelva a publicarlo con un modelo o una imagen para que pueda ayudar

which choices are equivalent to the quotient below check all that apply √12/√6

Answers

Step-by-step explanation:

I don't see any of the choices, but I'll just give you what it's equal to. The expression is equal to: sqrt2, which is approximately 1.414.

what is the value of h

Answers

Answer:

h = 5.318 m

Step-by-step explanation:

6.5/11 = h/9

0.5909 = h/9

h = 5.318

Answer:

Height: 5.32

Step-by-step explanation:

Area=29.24

Heron's Formula

2 z − 22 facorise fully

Answers

Answer:

Factorising fully

then

2z - 22

= 2( z - 11)

which equation is equivalent to
y + 2(x + 5) = 4x + 5
a) y = 2x + 20
b) y = -4x + 5
c) y = 2x - 5
d) y = 5x + 2

Answers

Answer:

C

Step-by-step explanation:

y + 2x + 10 = 4x + 5

y = 4x - 2x + 5 - 10

y = 2x - 5

Answer- C

Martha's bakery started with 200 cupcakes in the morning. After a busy afternoon there were only 60 cupcakes left. By what percent did the cupcake inventory drop?

Answers

Answer: 70%

Step-by-step explanation:

Martha's bakery started with 200 cupcakes in the morning and after a busy afternoon there were only 60 cupcakes left, this means that 200 - 60 = 140 cupcakes were sold.

The percentage drop will be:

= 140/200 × 100

= 70%

Which of the following inequalities does the graph represent

Answers

Answer:

di KO kaya sorry kahit ako dipa KO talks dyan

help me pls I would really appreciate it

Answers

The first the last and the 2nd last

Answer:

A (-3,-3)

B (-4,1)

C (-1,0)

Step-by-step explanation:

help math eeekkkkkkk

Answers

Answer:

Step-by-step explanation:

if a trader make a loss of 10% when he sells a watch for 15,300
a what is the cost price
b how much would he gain if he made a profit of 6%

Answers

Answer:

A. original price: 16830

B. Profit gain: 918

10%=1530

6%=918

#gamer

The given number line shows the solutions to which inequality?

Answers are
A x+7=<5
Bx+3=>1
Cx-5>2
Dx-1<=
I dont think the answer is b or c

Answers

Answer:

the answer is c we just did this in class

If the ratio of AB:BC is 7:4,
what is the length of AB?

If the ratio of AB:AC is 8:7, what is the length of AC?

PLZ HELP

Answers

Answer:

The answer will be :-

2. AB = 31.5 in

3. AC = 5.25 in

Write 45.21% as a decimal

Answers

Answer:

.4521

Step-by-step explanation:

when converting a percentage to a decimal you have to move the decimal point over two times to the left. do if you have 100% you moved the decimal point over two and get 1.00

Answer:

0.4521

Step-by-step explanation:

Instead, you can simply multiply a number by 45.21 as a decimal to get the answer.

45.21 percent means 45.21 per hundred. Therefore, to get 45.21 as a decimal, all you have to do is divide 45.21 by 100 like so:

45.21 ÷ 100 = 0.4521

Shortcut: When you divide anything by 100, just move the decimal point two places to the left.

Normally, to calculate 45.21 percent, you would multiply a number by 45.21 percent and then you would take the product of that and divide it by 100 to get the answer.

(hope this helps can i plz have brainlist :D hehe)

I dont understand it​

Answers

Answer:

30xy

Step-by-step explanation:

I divided this shape into a square and a rectangle.

Solve:

First I multiplied 2x and 3y

2x*3y= 6xy

Then I multiplied 6x and 4y

6x*4y= 24xy

Then I added them together

24xy+6xy= 30xy

Hope this helps!

Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $450 and has not made any withdrawals or deposits since then.

If her interest rate is 7% each year, how much interest has accrued using simple interest?

Answers

Answer:

Step-by-step explanation:

The interest accrued is $258.48.

Step-by-step explanation:

Given that:

Initial balance in the savings account = $359

Interest rate = 8%

Time for which no withdrawals or deposits were done = 9 years

To find:

Simple Interest accrued = ?

Solution:

First of all, let us have a look at the formula for simple interest.

Where P is the Principal Amount.

R is the annual rate of interest

T is the time in years.

Here, we are given:

P = $359

R = 8%

T = 9 years

Let us put all the values in the formula:

So, the interest accrued is $258.48.

Entry to a certain University is determined by a national test. The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115. Harriet wants to be admitted to this university and she knows that she must score better than at least 75% of the students who took the test. Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in? 2. (2pt) Will Harriet be admitted? Wh

Answers

Answer:

She scored in the 90th percentile.

90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115.

This means that [tex]\mu = 725, \sigma = 115[/tex]

She must score better than at least 75% of the students who took the test.

So her z-score should have a pvalue of at least 0.75.

Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in?

We have to find the pvalue of Z when X = 874.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{874.5 - 725}{115}[/tex]

[tex]Z = 1.3[/tex]

[tex]Z = 1.3[/tex] has a pvalue of 0.9032

She scored in the 90th percentile.

Will Harriet be admitted?

90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.

The difference of four times a number and seven is 21. Find the number.

Answers

Answer:

7

Step-by-step explanation:

4x-7=21

4x=28

x=7.....

The number is 7.

We have a sentence - "The difference of four times a number and seven is 21".

We have to find the number.

Express the statement - "The difference of 40 and 20 is equal to n" in the form of expression.

The expression representing the above statement is -

n = 40 - 20 = 20

According to the question, we have -

The difference of four times a number and seven is 21.

Assume the number be x.

Therefore -

4x - 7 = 21

4x = 28

x = 7

Hence, the number is 7.

To solve more questions on Rearranging expressions, visit the link below-

brainly.com/question/8864600

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I WILL GIVE BRAINLIEST-- Sophia is paying for a meal which costs $35. She has a coupon for a 20% discount. After the discount, sales tax is added at a rate of 8%. How much does Sophia need to pay for this meal? Explain how you got your answer

Answers

$30.24
$35 x 20% = $7
$35 - $7= $28
$28 x 8% = $2.24
$28 + $2.24 = $30.24

Change 5 into a rational number a/b

Answers

Answer:

[tex]\frac{5}{1}[/tex]

Step-by-step explanation:

se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m cual es el area que se va a pintar?​

Answers

Answer:

El área total a pintar será:

[tex]A_{tot}=25.2\: m^{2}[/tex]

Step-by-step explanation:

Sabiendo el apotema y la longitu de los lados, podemos encontrar el área de un triangulo. Recordemos que, si trazamos rectas del centro del hexágono a los vértices, se formaran 6 triángulos equiláteros.

El área de un triángulo es:

[tex]A_{t1}=\frac{b*a}{2}[/tex]

b es la longitud de la base (b=3 m)

a es la apotema, osea la altura del triangulo (a = 2.8)

[tex]A_{t1}=\frac{2.8*3}{2}[/tex]

[tex]A_{t1}=4.2\: m^{2}[/tex]

Ahora, solo debemos mutiplicar ese valor por 6 para determianr el área total de la pared.

[tex]A_{tot}=25.2\: m^{2}[/tex]

Espero te haya sido util!

Write the multiples for the
odd numbers between 1 and 10.

Answers

Answer:

3, 6, 9

Step-by-step explanation:

Jenny read 12 pages on Monday, 25 pages on Tuesday and
the remaining pages on Wednesday. On average she read
23 pages per day during these three days. How many pages
did she read on Wednesday?​

Answers

Answer:

32

Step-by-step explanation:

Let Wed pages = x

(12 + 25 + x) / 3 = 23                 Multiply both sides by 3

12 + 25 + x = 3 * 23                  Combine the right

12 + 25 + x = 69

37 + x = 69                                Subtract 37

x = 69 - 37

x = 32

32 pages were read on Wed

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