Which number line represents the solutions to |x - 2|= 6?

Answers

Answer 1

Answer:8 and -4

Step-by-step explanation:

[x-2]=6 ,x-2 =6 ,x=8 and x-2=-6 ,x=-4


Related Questions

Determine whether the lines with the given slopes are parallel, perpendicular, or neither.

m1=−4 & m2=14

Answers

Answer:

Parallel

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

Parallel lines have same slope, perpendicular lines have negative reciprocal slopes

Given slopes of -4 and 14 are neither same not negative reciprocal, therefore the answer is neither

A line passes through (-1, 3) and (p, 7) and has a slope of -4/3 Find the value of p.

Answers

slope= (x2-xl)(y2-y1)

Answer:

Step-by-step explanation:

y - 3 = - [tex]\frac{4}{3}[/tex] ( x + 1 )

y = - [tex]\frac{4}{3}[/tex] x - [tex]\frac{4}{3}[/tex] + 3

y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{5}{3}[/tex]

7 = - [tex]\frac{4}{3}[/tex] p + [tex]\frac{5}{3}[/tex]

[tex]\frac{4}{3}[/tex] p = - 7 + [tex]\frac{5}{3}[/tex]

p = ( - [tex]\frac{16}{3}[/tex] ) × [tex]\frac{3}{4}[/tex] = - 4

Of two consecutive integers, twice the smaller is four less than the greater. Find the integers. Provide and equation if you don't have a direct answer.

Answers

Answer:

The smaller integer is -3 and the greater integer is -2

Step-by-step explanation:

Equations

Let's call

x = the smaller integer

x + 1 = greater consecutive integer

The relationship between them is that twice the smaller is four less than the greater:

2x = x + 1 - 4

Subtracting x:

x = 1 - 4

Operating:

x = -3

x + 1 = -2

The smaller integer is -3 and the greater integer is -2

gabe's party will cost $12 if he invites six friends how many friends can Gabe invite if you spend $18​

Answers

Answer:

i dont like gabe, hes mean to me >:(

Step-by-step explanation:

so no, i wont go to his party :))

Answer:

7

Step-by-step explanation:

Whats the distance (7,0) and (-8,45)

Answers

Answer:

[tex]d = 15\sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (7, 0)

Point (-8, 45)

Step 2: Find distance d

Substitute:                    [tex]d = \sqrt{(-8-7)^2+(45-0)^2}[/tex]Subtract:                       [tex]d = \sqrt{(-15)^2+(45)^2}[/tex]Exponents:                   [tex]d = \sqrt{225+2025}[/tex]Add:                              [tex]d = \sqrt{2250}[/tex]Simplify:                        [tex]d = 15\sqrt{10}[/tex]

Kayla bought 2 books for $8.95 each, how much change would she get from a $20 bill?

Answers

Answer:

8.95 + 8.95 = 17.9

20 - 17.9

= $2.1

x^2-12x+__=(x-__)2
what’s the answer??

Answers

Answer: The answer is x=0

Step-by-step explanation:

Rewrite the equation as a trinomial.

x 2 + 12 x + 0

Move 0 to the right-hand side.

x 2 + 12 x = 0

Divide the coefficient of the  x

-term by 2, then square the result. Add the result to both sides.

12 /2 = 6 ;6^2   = 36

x 2 + 12 x + 36 = 36

Factor the perfect square trinomial  

x 2 + 12 x + 36

on the left-hand side.

( x + 6 ) 2 = 36

Take the square root of both sides and solve for  x .

√ ( x + 6 )^ 2 = ± √ 36 =

x+ 6 =  ± 6

x =  − 6 + 6 = 0

x =  − 6  − 6 = − 12

Check

If  x = 0 :

( 0 ) ^2 + 12 ( 0 ) = 0

0 = 0

If  x = − 12 :

( − 12 ) ^2 + 12 ( − 12 ) = 0

144 − 144 = 0

0 = 0

Find the units of displacement of the point (4,2) to get the image of (7,7). Chapter (transformation) (coordinates) (translation). Please answer my questions correctly. Unnecessary answers will be reported.

Answers

Answer:

The units of the displacement are (3, 5) → T (x + 3, y + 5)

Step-by-step explanation:

The rules of translation of a point

If the point (x, y) is translated h units to the right and k units up, then its image is (x + h, y + k)If the point (x, y) is translated h units to the right and k units down, then its image is (x + h, y - k)If the point (x, y) is translated h units to the left and k units up, then its image is (x - h, y + k)If the point (x, y) is translated h units to the left and k units down, then its image is (x - h, y - k)

∵ Point (4, 2) is translated by (h, k)

∵ Its image is (7, 7)

∴ The x-coordinate of the point is increased from 4 to 7

∴ The point is translated to the right by h units

∵ 4 + h = 7

h = 7 - 4 = 3

The point is translated to the right 3 units

∵ The y-coordinate of the point is increased from 2 to 7

∴ The point is translated up by k units

∵ 2 + k = 7

k = 7 - 2 = 5

The point is translated up 5 units

∴ The point is translated 3 units right and 5 units up

The units of the displacement are (3, 5) → T (x + 3, y + 5)

A consumer organization estimates that over a​ 1-year period 18​% of cars will need to be repaired​ once, ​7% will need repairs​ twice, and ​3% will require three or more repairs. If you own two​ cars, what is the probability that ​a) neither will need​ repair? ​b) both will need​ repair? ​c) at least one car will need​ repair?

Answers

Answer:

(a) 0.5184

(b) 0.0784

(c) 0.4816

Step-by-step explanation:

According to the given estimation over a 1-year period, 18​% of cars will need to be repaired​ once, ​7% will need repairs​ twice, and ​3% will require three or more repairs.

So, the probability that a car need repair once = 18/100=0.18 ...(i)

The probability that a car needs repair twice = 7/100=0.07 ...(ii)

The probability that a car needs repair thrice or more = 3/100=0.03 ...(iii)

From equations (i), (ii), and (iii), the probability that a car needs repair = (0.18+0.07+0.03) = 0.28 ...(iv)

The probability that a car doesn't needs repair = 1-(0.18+0.07+0.03)= 1-0.28=0.72 ....(v)

Given that I own two cars, denoting the cars by A and B.

(a) The probability that neither will need​ repair=(Probability that car A doesn't need repair) and (Probability that car B doesn't need repair)

=0.72 x 0.72 [ from equation (v)]

=0.5184

(b) The probability that both will need​ repair = (Probability that car A needs repair) and (Probability that car B needs repair)

=0.28 x 0.28 [ from equation (iv)]

=0.0784

(c) The probability that at least one car will need​ repair= 1 - (The probability that neither will need​ repair)

=1-0.5184 [ by using part (a)]

=0.4816

Find the perimeter of the given figure, round to the nearest tenth

Answers

Answer:

2√424 + 62 ≈ 103.1825205639 ≈ 103.2 units

Explanation:

Given the two baselengths, and the perpendicular height of the trapezoid, you can actually find the perimeter through the pythangorean theorem because the perpendicular height or height that forms a right or 90 degree angle makes a right triangle(2 be exact because this is an isoceles trapezoid which has two adjacent right triangles).

This is true of the trapezoid is icosceles.

Answer:

You cannot find the perimeter with numbers given.

Step-by-step explanation:

The top length, base length, and height are not sufficient to determine the perimeter of a trapezoid

If DE KL, then M _____ F. Choose the relationship symbol to make a true statement.

Answers

Answer:

If DE KL, then M > F. Choose the relationship symbol to make a true statement.

Step-by-step explanation:

IM GIVING BRAINLIEST!!
What two integers between -100 and -20 could be divided to equal a number close to 0?

Answers

-75 and -25, -75/-25=3
I hope this helps

HELP PLZZZSS EASYYYY 10 POINTS *easy*

Answers

Answer:

A. 3:30.

Step-by-step explanation:

180 is 90+90 so that would put it in 3:30.

PLEASE HELP I'M GETTING GRADED ON THIS!!!!

Is this function even, odd, or neither and why?

Answers

Even, the ends of the lines are going in the same direction

Answer:

I'm reallly sorry if this is wrong, but I believe it is neither

Step-by-step explanation:

Odd and even functions need to exhibit some sort of reflection symmetry across the x axis (i think--we are learning this rn) and the graph does not seem to show this so i believe it is neither... i could be wrong thooughh

Which of these ineqaulities are equivalent to r greater than -11? Check all that apply.
-r -33
-3r 33

Answers

Answer:

Are you sure this two are the only choice.

Step-by-step explanation:

And I think it the first one.

Answer:

can you rewrite your answer bc it makes not sense and there's only two answer choices so can you take a ss of your actual problem please and i'll do my best to answer it :)

A drive-in theater costs $20 per car, plus an additional fee of $4 per person. The cost, C, of the movie when p people are in the car can be represented by this equation: C = 20 + 4p Solve the equation for p to show How many people were in the car when the movie costed C dollars.

Answers

Answer:

[tex]P=\frac{C}{4} -5[/tex]

Step-by-step explanation:

Step one:

given

cost  per drive= $20

additional fee per person= $4

let the number of persons be p

and the total cost be C

The total cost function is expressed as

[tex]C=20+4p[/tex]

Step two:

Required:

We want to make P subject of the cost function

Take 20 to the other side we have

C-20=4p

divide through by 4

P=C-20/4

simplify

P=C/4-5

[tex]P=\frac{C}{4} -5[/tex]

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

x= 45

Step-by-step explanation:

the total amount of degrees in a triangle is 180 degrees, so by subtracting 75 and 60 from 180, you'll get 45. :)

Answer:

x=45

cvghjklkjhgfdsdfghjkijuhgtfdfghjki

A painting is made from three different colors whose ratios are as follows: 4 parts blue, 3 parts red, and 3 parts green. The blue part of the painting took 12 gallons of paint. How many gallons of paint were needed for the green part of the painting

Answers

Answer: 9 gallons

Step-by-step explanation:

Given: Ratio of colors in painting:

4 parts blue, 3 parts red, and 3 parts green.

Total parts = 4+3+3 =10

Fraction of blue = [tex]\dfrac{\text{Number of parts of blue}}{\text{total parts}}=\dfrac{4}{10}[/tex]

Since, Quantity of blue color used = 12 gallons

Let total quantity of color be x,

[tex]\dfrac{4}{10}x=12\\\\\Rightarrow\ x=\dfrac{120}{4}=30\text{ gallons}[/tex]

Total color used = 30 gallons

Color used for green part only = [tex]\dfrac{3}{10}\times30 = \text{9 gallons}[/tex]

Hence, 9 gallons of paint were needed for the green part of the painting.

Lisa read 45 pages in eight minutes how many minutes would it take her to read 36 pages

Answers

Answer:

4 1/2 minutes

Step-by-step explanation:

4x + (-3) = 5x + 3?????

Answers

Hi there! :)

[tex]\large\boxed{x = -6}[/tex]

Solve for x:

4x + (-3) = 5x + 3

Adding a negative number is simply subtracting, therefore:

4x - 3 = 5x + 3

Subtract 4x from both sides:

4x - 4x - 3 = 5x - 4x + 3

-3 = x + 3

Subtract 3 from both sides:

-3 - 3 = x + 3 - 3

-6 = x

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

Isolate the variable.

[tex]4x+(-3)=5x+3[/tex]

[tex]4x=5x+6[/tex]

[tex]0=x+6[/tex]

[tex]x=-6[/tex]

Hope this helps!

Rock bands often stack their speakers in an array. One teen banda
has 24 speakers. They stack them at least 2 high, but no taller than
8 high. What are all the different arrays they can make?
8 high. What are all the different arrays they can make?

Answers

Answer:

2*12

3*8

4*6

6*4

8*3

Step-by-step explanation:

4/11 + 3/4 also 8/9 - 2/5 and 2 1/4 + 3 3/8 what is the answer ​

Answers

Answer:

1 5/44, 22/45, 5 5/8

Step-by-step explanation:

Pls give brainliest

what is 15 percent 0f 75

Answers

the answer is 11.25
just do 0.15 * 75

Find the value of b. Then find the angle measures of the pentagon.

Answers

Answer:

b = 90

Step-by-step explanation:

Sum the interior angles of the pentagon and equate to 540

Starting from the top and going clockwise

b + b + 45 + 90 + 2b - 90 + [tex]\frac{3}{2}[/tex] b = 540 ← simplify left side

[tex]\frac{11}{2}[/tex] b + 45 = 540 ( multiply through by 2 to clear the fraction )

11b + 90 = 1080 ( subtract 90 from both sides )

11b = 990 ( divide both sides by 11 )

b = 90

Thus

b + 45 = 90 + 45 = 135

2b - 90 = 2(90) - 90 = 180 - 90 = 90

[tex]\frac{3}{2}[/tex] b = [tex]\frac{3}{2}[/tex] × 90 = 135

The angle measure from the top clockwise are

90°, 135°, 90°, 90°, 135°

Find the error & explain why it is wrong:

Answers

[tex]( { \frac{4 {x}^{3} }{ {y}^{4} }) }^{ - 2} = \frac{16x {}^{6} }{ {y}^{8} } [/tex]

[tex] \frac{(4 {x}^{3})^{ - 2} }{ { {(y}^{4} )}^{ - 2} } = \frac{16 {x}^{6} }{ {y}^{8} } [/tex]

[tex] \frac{ {16x}^{ - 6} }{ {y }^{ - 8} } = \frac{ {16x}^{6} }{ {y}^{8} } [/tex]

The power of -2 was mistook as 2.

Which one should I choose

Answers

Answer:

3rd one

Step-by-step explanation:

It is the second one z>3

IGNORE EVERYTHING BUT THE EQUATION WHOEVER ANSWERS FIRST GETS BRAINIEST ANSWER

Answers

Answer:

−35.948187

Step-by-step explanation:

can someone plz help me solve this equation :)
6 - (3x + 10) + 4(2 - x) = 15
a) 12 - 7x = 15
b) 4 - 4x = 15
c) 4 - 7x = 15

Answers

Answer:

4 - 7x = 15

Step-by-step explanation:

6 - 3x -10 + 8 - 4x = 15

4 - 7x = 15

A person invests 3000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 6500 dollars?

Answers

p=amount put in
t=amount of time in years
%=growth rate
f(t)=total

f(t)=p(1+%)^t
6500=3000(1+.04)^t
Solve for t
6500/3000=(1.04)^t
*Logs*
Log (13/6) = 19.7138...
1.04
Rounded to nearest 10th

t = 19.7

Answer:19.4

Step-by-step explanation:

A=P(1+\frac{r}{n})^{nt}

A=P(1+  

n

r

​  

)  

nt

 

A=6500 \hspace{15px} P=3000 \hspace{15px} r=0.04 \hspace{15px} t=?

A=6500P=3000r=0.04t=?

n=4\text{ (quarterly)}

n=4 (quarterly)

6500=3000(1+\frac{0.04}{4})^{4t}

6500=3000(1+  

4

0.04

​  

)  

4t

 

6500=3000(1.01)^{4t}

6500=3000(1.01)  

4t

 

\frac{6500}{3000}=\frac{3000(1.01)^{4t}}{3000}

3000

6500

​  

=  

3000

3000(1.01)  

4t

 

​  

 

2.1666667=(1.01)^{4t}

2.1666667=(1.01)  

4t

 

\log(2.1666667)=\log((1.01)^{4t})

log(2.1666667)=log((1.01)  

4t

)

\log(2.1666667)=4t\log(1.01)

log(2.1666667)=4tlog(1.01)

Power Rule.

\frac{\log(2.1666667)}{4\log(1.01)}=\frac{4t\log(1.01)}{4\log(1.01)}

4log(1.01)

log(2.1666667)

​  

=  

4log(1.01)

4tlog(1.01)

​  

 

t=\frac{0.3357921}{0.0172855}

t=  

0.0172855

0.3357921

​  

 

t=19.42624\approx 19.4 \text{ years}

t=19.42624≈19.4 years

PLS HELP 100 POINTS The x-coordinate is ____

The y-coordinate is ___

The point is in quadrant ___

Answers

Answer: A y-coordinate is the second element in an ordered pair. When an ordered pair is graphed as the coordinates of a point in the coordinate plane, the y-coordinate represents the directed distance of the point from the x-axis. (-1,-4).

Step-by-step explanation:

Answer:

The x-coordinate is –4 . The y-coordinate is  –1 . The point is in quadrant  III .

Step-by-step explanation:

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