Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either a number or an expression) that have the following solution sets. Two solutions: x=2, x=14

Answers

Answer 1

Answer:

|x - 8| = 6

Step-by-step explanation:

   |x - b| = c

⇒ (x - b)² = c²

Given:

x = 2x = 14

Substitute the values of x into (x - b)² = c²:

(2 - b)² = c²

(14 - b)² = c²

Equate and solve for b:

(2 - b)² = (14 - b)²

⇒ 4 - 4b + b² = 196 - 28b + b²

⇒ 4 - 4b = 196 - 28b

⇒ 24b = 192

⇒ b = 8

Substitute b = 8 into the equations to find c:

x = 2 ⇒ |2 - 8| = 6

x = 14 ⇒ |14 - 8| = 6

Therefore, c = 6

Final equation:  |x - 8| = 6


Related Questions

NEED HELP ASAPPPPPP!!!!!!

Answers

Answer:

D

Step-by-step explanation:

K/1 = (QD)/(AT)

(K)(A)(T) = (Q)(D)

A = QD/KT

се
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What is the rule for the reflection?
В
4
2
2
Ory=(x, y) — (-y-x)
огу (x, y) — (-у, -х)
Огу (x, y) — (y, x)
(x, y) — (y, x)
о
х
A
--2
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2
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В!
C

Answers

Answer:

Below.

Step-by-step explanation:

Reflection in x-axis: (x, y) ----> (x, -y).   (x value stays the same)

Reflection in y-axis: (x, y) ----> (-x, y).   ( y value stays the same)

I don’t understand the question

Kyle know, that if he tosses a coin, there a 50% probability of seeing it land head up . He tossed a coin in air 30 times and saw it land heads up 19 times. What is the difference between the predicted probability and the actual outcome of the coin toss?

Answers

Answer:

4 times, 2/15, 4/30

Step-by-step explanation:

The predicted probability is 15/30.

So, 19/30-15/30 IS 4/30, or 2/15.

x = 2y – 1
2x + y = 13
Solve this system of equations.

Answers

Answer:

(5,3)

Step-by-step explanation:

Use desmos. I'll attach the graph below.

Solution is:

(5,3)

If y x w= 0, what can be said about the two vectors y and w?
=

Answers

One of the vectors is 0.......

need help please will mark branliest

whats the perimeter of triangle

side is x+1
side is x+1
base is 2x+2

2.whats the perimeter of rectangle

length is x
width is x+3

Answers

Triangle - 4x+3
Rectangle is 4x+6
To get perimeter of some thyroid add all the sides together
The answers are
Perimeter of triangle:6x+6
Perimeter of rectangle:4x+6

State whether each of the statements below is true or false.
Write down your reasoning and give a counter-example for any
statement you believe is false
a All isosceles triangles are similar.
b All equilateral triangles are similar.
C All right-angled triangles are similar.
d All right-angled triangles with an angle of 30° are similar.
e All right-angled isosceles triangles are similar.
f No pair of scalene triangles are ever similar.

Answers

Answer:

a)True

b)True

c) False

d) True

e)True

f) True

helpppp!! i’m willing to give all my points and brainliest, especially w explanation!

Answers

here are the basic rules for a right triangle:
One angle is always 90° or right angle.

The side opposite angle 90° is the hypotenuse.

The hypotenuse is always the longest side.

The sum of the other two interior angles is equal to 90°.

The other two sides adjacent to the right angle are called base and perpendicular.


a quick way to find angle 1, is just to look at the figure. there seems to be bisecting angles, so angle FCE and angle 1 are congruent. (meaning angle 1 is also 34 degrees)

hope this helps! lmk.

HELPPPPPP PLSSSSSSSS

Answers

Answer:

hmmmm help rin ako po please

Factor the following:
y^2-3y-40

3x62+10x+3

Answers

Answer:

Below in bold.

Step-by-step explanation:

y^2 - 3y - 40

To factor this we need 2 numbers whose product is -40 and whose sum is -3.  These are -8 and +5. so the factors are:

(y - 8)(y + 5).

3x^2 + 10x + 3

To factor this we need 2 numbers whose product is (3*3) = +9 and whose sum is +10.  These are +9 and +1 so we write:

3x^2 + 9x + x + 3  

Factor by grouping:

= 3x(x + 3) + 1(x + 3)

= (3x + 1)(x + 3).

A bag contains 7 marbles 3 red 2 blue 2 green what is the probability of picking a green marble. answer as a percent

Answers

Answer:

28.57%

Step-by-step explanation:

to find the probability of something being picked you divide the amount of what your trying to get (2) by the total amount of what's in it (7).

2÷7=.2857

to turn it into a percentage we move the decimal point 2 to the right

28.57

Given circle U with diameter ST and radius UQ. QR is tangent to U at Q. If
UQ = 8 and QR = 15, solve for U R. Round your answer to the nearest tenth if
necessary. If the answer cannot be determined, click "Cannot be determined."

Answers

Answer:

QT = 18

Step-by-step explanation:

The population of the high school increases by 10% each year what would B= in the form of y=a(b)^x​

Answers

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &a\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=a(1 + 0.10)^{x}\implies A=a(1.1)^x~\hfill \boxed{y=a(1.1)^x}[/tex]

Please help me on this

Answers

Answer:

The answer is $3. 75

Step-by-step explanation:

The question is somehow I just did what they said but I hope it helps

Help me please. I really neeed it

Answers

Answer: You need to put the same shape as it shows there on the top.

Step-by-step explanation: I hope this helped you.

4 Indira makes a wooden box without a lid. All the faces of the box meet at
right angles. Indira plans to paint all surfaces of the box, including the
inside and outside. The interior of the box has length 13 in., width 8 in., and
depth 7 in. Indira can cover up to 1,350 in.? with
5 cup of paint. Will she
need more than 5 cup of paint to cover the box? Explain how you know.

Answers

Considering the surface area of the rectangular box, it is found that since it is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.

What is the surface area of a rectangular prism?

The surface area of a rectangular prism of length l, width w and depth d is given by:

S = 2(lw + ld + wd).

In this problem, we have that the dimensions, in inches, are given by l = 13, w = 8, d = 7. Hence, the surface area in in² is given by:

S = 2(13 x 8 + 13 x 7 + 8 x 7) = 502 in².

Since the surface area of the box is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.

More can be learned about the surface area of a rectangular prism at https://brainly.com/question/17223528

The minute hand on a clock tower is 6 feet long. At 10 minutes after the hour, the tip
of the minute hand is 55 feet above the ground. How high above the ground is the
center of the clock face? Explain how you know.

Answers

Answer: 12:55 is the answer

Step-by-step explanation:

dont delete this brainly

The height of the center of the clock above the ground is 52 feet such that the length of the minute hand of the clock is 6 feet and at 10 minutes after the hour, the tip of the minute hand is 55 feet above the ground.

Sine trigonometric function

The trigonometric function, [tex]sin\theta=\dfrac{perpendicular}{hypotenuse}[/tex] .

How to determine the length of the side using trigonometric function?

From the given information, the following pictorial representation can be made.

The distance between the centre of the clock and the the point of the minute hand 10 minutes after the hour is-

[tex]x=6sin30\\x=3\text{ft}[/tex]

Now, from the figure,

The height of the center of the clock above the ground is-

d=6+(55-3-6)

=52 ft

Thus, the height of the center of the clock above the ground is [tex]52\text{ft}[/tex]

Learn more about trigonometric functions here-

https://brainly.com/question/14746686

#SPJ2

please give me complete working and explanation and I will mark you as brainliest!​

Answers

Fridge cost $10,535

Stove cost $4,999

Amount spent on fridge more than the stove = costof fridge - cost of stove
= $10,535 - $4,999
= $5,536

Answer:

she spent 5,536 more dollars π

Step-by-step explanation:

10,535 - 4,999= 5,536

thats how much more money it cost than the stove.

??? HELP FAST
What is a area

Answers

Answer:

100 in^2

Step-by-step explanation:

Four right triangles      area of each = 1/2 b * h      each has b = 5   h = 10

 apparently not drawn to scale

4  *   1/2 ( 5 * 10)  = 100 in^2

a. Complete the table.
х
f(x) = 2(2)*
=
-2 -1
0
1
2
1

Answers

Answer:

1/2,1,2,4,8 in order

Step-by-step explanation:

Given:

[tex]\displaystyle \large{f(x)=2(2)^x}[/tex]

The function can be simplified to:

[tex]\displaystyle \large{f(x)=2^{x+1}}[/tex] via law of exponent.

Recall:

[tex]\displaystyle \large{a^m\cdot a^n=a^{m+n}}[/tex]

Next, substitute given x-values in:

[tex]\displaystyle \large{f(-2)=2^{-2+1}=2^{-1}=\dfrac{1}{2}}\\\displaystyle \large{f(-1)=2^{-1+1}=2^0=1}\\\displaystyle \large{f(0)=2^{0+1}=2^1=2}\\\displaystyle \large{f(1)=2^{1+1}=2^2=4}\\\displaystyle \lage{f(2)=2^{2+1}=2^3=8}[/tex]

Therefore, the solution is 1/2,1,2,4,8

Please help me . 8,10,11!

Answers

8 no. is 2x²10 no. is 2x11 no. is 7x÷12

Esther is building a tower of cubes. The ratio of red to yellow cubes is 3:1 The tower has 6 yellow cubes. How many red cubes are there? please help me​

Answers

Answer:

18

Step-by-step explanation:

We can rewrite the question into mathematical forms, such as:

[tex]\frac{3}{1} =\frac{x}{6}[/tex]

solve for x:

[tex]\frac{3}{1} =\frac{x}{6} \\\\3*6=\frac{x}{6}*6\\\\18=x[/tex]

what is the slope of a line that passes through (2, -5) and (6, -2)

Answers

Answer:

3/4

Step-by-step explanation:

[tex]m = \frac{ - 2 - ( - 5)}{6 - 2} = \frac{3}{4} [/tex]

Shaquil needs to borrow $400. the loan company charges him $80 in fees for the loan. shaquil calculates that the annual percentage rate (apr) on his loan is 250%. approximately what is the term of shaquil’s loan? a. 7 days b. 29 days c. 46 days d. 73 days please select the best answer from the choices provided a b c d

Answers

The  term of shaquil's loan will be 29 days approximatly.

We have given that,

Principle amount (p) = $400

Rate (r)= 250% = 2.5

Interest = $80

t = time (in days) = t/365

What is the formula simple interest?

[tex]I=prt[/tex]

[tex]r=\frac{I}{rt}[/tex]

[tex]2.5 = \frac{80\times 365}{400\times t}[/tex]

[tex]t= \frac{80\times 365}{400\times 2.5}[/tex]

[tex]t=\frac{73}{2.5}\\ \\t=29.2[/tex]

t = 29.2

t = 29 days

Therefore option (B) is correct.

Therefore the  term of shaquil's loan will be 29 days approximatly.

To learn more about the loan visit:

https://brainly.com/question/26011426

Answer:

B.29 days

Step-by-step explanation:

Geri ran in a marathon race. It took her 3 hours and 28 minutes to run 26 miles. How many minutes did it take her to run 1 mile if she ran at the same rate for the whole race? (1 hour = 60 minutes)

Answers

Answer:

8minutes

Step-by-step explanation:

30×60=180

180+28=208

26miles=208minutes

1mile=¿

=8minutes

An angle measures 62 degrees less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

40 and 67

Step-by-step explanation:

please help!!! I need this ​

Answers

Answer:

it is (2): AOB = COD

Step-by-step explanation:

PLS HELP ME ASAP I WILL MARK THE BRAINLIEST

Answers

Answer:

1:3, 24/8=3/1

Find the nth term for the sequence:
16, 43, 88, 151, 232
Un =

Answers

The answer is An=9n^2+7

I NEED HELP ASAP PLEAS HELP ME

Answers

Answer:

m=117

Step-by-step explanation:

So this area is 360 degrees

What you can see the 68 degrees is congruent to its opposing side so we can eliminate those. 360 - 126= 234

We can see m is congruent to U

234/2=117

m=117

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