What is the solution to (x-12)^2-48=0 ?

Answers

Answer 1
Add
48
48
to both sides of the equation.
(
x

12
)
2
=
48
(
x
-
12
)
2
=
48
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x

12
=
±

48
x
-
12
=
±
48
Simplify
±

48
±
48
.
Tap for more steps...
x

12
=
±
4

3
x
-
12
=
±
4
3
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
4

3
+
12
,

4

3
+
12
x
=
4
3
+
12
,
-
4
3
+
12
The result can be shown in multiple forms.
Exact Form:
x
=
4

3
+
12
,

4

3
+
12
x
=
4
3
+
12
,
-
4
3
+
12
Decimal Form:
x
=
18.92820323

,
5.07179676
Answer 2

Answer:

x = 18.928, 5.0718

Explanation:

x = 4√3 + 12, - 4√3 +12

decimal form:

x = 18.928, 5.0718


Related Questions

WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!

The triangle below is isosceles, Find the length of side x to the nearest tenth.

Answers

Answer: 3.5

Step-by-step explanation:

Jonathan needs to make 5 bowl of pasta.if he uses 145mL of sauce.how many milliliters of sauce will he use for each bowl of pasta​

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Answer:

145/5 = 29

Step-by-step explanation:

I am not sure of this answer if this is correct please mark me as brainliest

What is the mass of Cl2

Answers

Answer:

molar mass of carbon-12

Step-by-step explanation:

Owen has a mask collection of 300 masks. He keeps 63 of the masks on his wall. What percentage of Owen's mask collection does he keep on his wall?​

Answers

Using the percentage concept, it is found that he keeps 21% of his mask collection on the wall.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, the parameters are a = 63 and b = 300, hence the percentage is given by:

[tex]P = \frac{63}{300} \times 100\% = 21\%[/tex]

More can be learned about the percentage concept at https://brainly.com/question/10491646

Explain if she correct or not. If she is correct, justify her claim. If she is not correct, explain her error and state the correct GCF.

PLEASE HELP ME OUT!!!!

Answers

Answer:

Marcia is not correct.

See explanation below.

Step-by-step explanation:

The terms are

2x²

4xy

8xy^4

The terms broken down into products of prime factors are:

2x² = 2 × x × x

4xy = 2 × 2 × x × y

8xy^4 = 2 × 2 × 2 × x × y × y × y × y

To find the GCF, we circle the common factors of the three terms (here we use bold type instead of circling.)

2x² = 2 × x × x

4xy = 2 × 2 × x × y

8xy^4 = 2 × 2 × 2 × x × y × y × y × y

The GCF is the products of the circled (bold) factors.

GCF = 2x

Marcia's answer is the Least Common Multiple.

For the LCM, you use all factors that are common and not common with the larger exponent.

LCM = 2 × 2 × 2 × x × x × y × y × y × y = 8x²y^4

Marcia's mistake is that she calculated the LCM instead of the GCF.

Answer:

Marcia is not correct.

The explanation is above.

Answer:

See below.

Step-by-step explanation:

2x^2, 4xy, and 8xy^4

She is incorrect.

The GCF is 2x.

She found the greatest term, rather than the greatest factor.

-hope it helps

Need help!
Find the volume!

Answers

Answer:

volume of cylinder is = πr²h

= π4²6 = π x 16 x 6 = 96π yd³

please help!!! ASAPPP 18 pts + brainlest

Answers

Answer:

2,544.42

Step-by-step explanation:

HOPE THIS HELP YOU,FOR ANY QUESTION PLEASE ASK ME

At a bowling alley, there is a flat fee of
$
5.00
to rent shoes. In addition, it costs
$
1.25
for each game bowled.

Which equation shows the total cost (
c
) for the number of games (
g
) one bowls?

Answers

Answer:

I don't see any answer options, but the total cost should be:

c = $5.00 + $1.25g

Step-by-step explanation:

Assuming that the cost is for one person playing g games, and that person needs to rent 1 pair of shoes, the cost should be:

c = $5.00 + $1.25g

When Juan got home from school, he worked on his homework for 45 minutes. Then, he took a break and had a snack for 35 minutes, and after that went to baseball practice for 1 hour and 55 minutes. He finished baseball practice at 6:05 p.m. What time did he get home from school? of​

Answers

Answer:

2:50 p.m.

Step-by-step explanation:

After he got home, his activities were:

homework: 45 minutes

break & snack: 35 minutes

baseball practice: 1 hour 55 minutes

1 hour = 60 minutes

Total time of activities:

45 minutes + 35 minutes + 60 minutes + 55 minutes = 195 minutes

195 minutes = 180 minutes + 15 minutes = 3 hours 15 minutes

Now we subtract 3 hours 15 minutes for 6:05 p.m.

   6:05

-   3:15

----------

We need to borrow 1 hour from 6 hours. 1 hour is 60 minutes. 6 hours becomes 5 hours. We add the 1 hour as 60 minutes to the 5 minutes.

   6:05                               5:65

-   3:15         -------->        -   3:15

-----------                          ----------

                                          2:50

Answer: 2:50 p.m.

Please help. I’ll mark you as brainiest and give 20 points

Answers

Answer:

i and iii are correct

Step-by-step explanation:

ur welcome:)

Apply the distributive property to factor out the greatest common factor.

22c+33d =

Answers

Answer:

Step-by-step explanation:

First find the GCF of 22 and 33

22 = 2 * 11

33 = 3 *11

GCF = 11

Distributive property:a*(b+c)=(a*b) + (a*c)

22c + 33d = 11 * 2c + 11 * 3d

                 = 11*(2c + 3d)

-13 = -3h + 2 solve for h

Answers

Step-by-step explanation:

-13 = -3h + 2

3h - 13 = 2

3h = 15

h = 5

Answer:

-5

Step-by-step explanation:

-13 = -3h + 2          First, move the positive two (we get rid of a + by using a -)

-2             -2                            

-15 = -3h                 -3 is divided (opposite of multiplication is division)

-----   ------

3       3

-5 = h                    Now we have our answer :)

The table shows the distance a cyclist rides her bicycle over time. Is the rate of change in distance with respect to time constant? What does the rate of change represent?

Bike Riding Distance

Time
(minutes) Distance
Traveled (ft)
1 1120
2 2240
3 3360
4 4480
A. The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
B. The rate of change is constant and represents a speed of 3360 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
C. The rate of change is constant and represents a speed of 2240 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
D. The rate of change is constant and represents a speed of 4480 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.

Answers

From the relationship between the distance and time, the rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the distance travelled by the bike after x minutes.

From the table:

Rate of change = (4480 - 1120) / (4 - 1) = 1120 ft/min

The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.

Find out more on linear equation at: https://brainly.com/question/14323743

Para las celebraciones del barrio de Santiago se junto cierta cantidad de dinero que se distribuirá de la siguiente forma:?

Answers

Answer:

4,767

Step-by-step explanation:

Find the distance covered by a car in 3x hours is 27x³ + 9x² - 3x Find the rate of the car. Show your solution.

Answers

Answer:

distance = 27x³ + 9x² - 3x , time = 3x ,

rate =?

[tex]distance = rate \times time \\ \\ rate = \frac{distance}{time} \\ \\ r = \frac{d}{t} \\ \\ r = \frac{27 {x}^{3} + 9 {x}^{2} - 3x}{3x} \\ \\ r = \frac{3x(9 {x}^{2} + 3x - 1) }{3x} \\ \\ r = 9 {x}^{2} + 3x - 1[/tex]

So; The rate of the car equal (9x²+3x-1)

Please help will mark

A scientist uses the equation shown below to predict the future population of a species. In the equation, y represents the estimated population and trepresents the number of years.
y=150•4^t

Which number is closest to the value of y when t=3/2

Answers

Answer:

1200 i think

Step-by-step explanation:

i used a calculator since its hard for me to do mental math

question 2

(sorry i replied late i was doing some of my school work)

so you make A be equal to 5000 since you want to know when his account will be that much money sooo

5000 = 2000(1.07t)

you divide 2000 from both sides

5000/2000 = 1.07t

5/2 = 1.07t

now you have to isolate t to solve for it

soo divide 1.07 to both sides

5/2 / 1.07 = t

t is equal to about 2.34 or 2 years (depends on what it tells you to round to) in the calc t is 2.336448598

so in maybe 2 years he'll have 5000 dollars

Emma sold all the parasols in the store for $84. She brought new
parasols from the stockroom and decided to increase the price of a
parasol to $13.
Which of the following equations represents the total amount, t, Emma
will have earned after selling the additional, p, parasols?
A. t = 84 + 13p
B. t = 84 + (p + 13)
C. t = 84 × 13p
D. t = 84 + [tex]\frac{p}{13}[/tex]

Answers

Answer:  B.  Emma sold all the parasols in the store for $84. She brought new parasols from the stockroom and decided to increase the price of a parasol to $13.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First, she earned $84

She bought new parasols and increase the price of each parasol by $13-> she will earn $13p by selling p additional parasols

->total amount = 84+13p

If X = 6 cm and Z = 10 cm, what is the length of Y?
A. 8 cm
B. 8 cm
C. 10 cm
D. 6 cm

Answers

Answer:

If XYZ is a triangle, then Y = 8 cm

Step-by-step explanation:

X^2 + Y^2 = Z^2, by the Pythagorean Theorem.

Z, in this equation, represents the hypotenuse; the hypotenuse must be the longest side, and we can therefore eliminate C, 10 cm, without even beginning. Then, we may plug the given values in.

(6)^2 + Y^2 = 10^2

36 + Y^2 = 100

Y^2 = (100 - 36) = 64

Y = 8 cm

I hope this helped! :)

Someone pls help?????????????????????

Answers

The answer is :10 :) really hope that right

Answer:

10 more couches were sold.

Step-by-step explanation:

On Tuesday, they sold 15 couches, while on Wednesday only 5 were sold.

15-5=10 Couches

What is the inverse of function f?



A.

B.

C.

D.

Answers

Answer: Choice D

[tex]f^{-1}(x) = 3-7x\\\\[/tex]

=====================================================

Work Shown:

[tex]f(x) = \frac{3-x}{7}\\\\y = \frac{3-x}{7}\\\\x = \frac{3-y}{7}\\\\7x = 3-y\\\\7x+y = 3\\\\y = 3-7x\\\\f^{-1}(x) = 3-7x\\\\[/tex]

The idea is to swap each x and y, then solve for y to find the inverse.

WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!

Find the value of cos I rounded to the nearest hundredth, if necessary.

Answers

Answer: 41.40962211 or 41.41

Step-by-step explanation:

Cos i = 30/40

x = Cos ^-1 (30/40)

x = 41.41 or 41.40962211

The largest major arc is:
MHJ
JMG
GNM
HLI

Answers

Answer:

the correct answer is HLI

Victor's class is going on a field trip.
They will ride on the city bus twice,
once going and once coming back.
The one-way bus trip costs 35€ per
child and 50¢ per adult. There are
24 students, 4 parents, and 1 teacher
4
going on the trip. How much money
will they need for everyone to ride
the bus?

Answers

Answer:

2180

Step-by-step explanation:

35x24=840

50x5=250

add those tou get 1090

multiply by 2

2180

Which equation describes a line with a slope of 2/5 and a y-intercept at (0, 4)?

Answers

Answer:

y=2/5x+4

Step-by-step explanation:

because 4 would be where the line crosses the number 4 on the y axis which puts it at the back and the slope is x because it increases by an amount indescribable.

answer: y=2/5x+4
step by step explanation:

Help need answers asap

Answers

Answer:

x = 25

y = 6

Step-by-step explanation:

< B = < M

2x - 20 = 30

2x = 50

x = 25

AB = LM

7y - 8 = 2y + 22

5y = 30

y = 6

SOLVE BOTH

if f(x)=2x+8, find f(5)

if f(x)=3x+4, find f(8) ​

Answers

Answer:

Step-by-step explanation:

simple! plug in the 5 for x, f(5)=2(5)+8

f(5)=10+8

f(5)=18

f(8)=3(8)+4

f(8)=28

What is the volume of a cylinder, in cubic cm, with a height of 3cm and a base diameter of 10cm? Round to the nearest tenths place.

Answers

Area=30

Calculate area of the rectangle:30

6 Xavier earns $12.50 for each lawn he mows. If he mowed 8 lawns last week, how
much money did he earn? Show your work.

Answers

Answer:

12.50x2.50x8=w

Step-by-step explanation:

12.50×8=100

Answer:

$100

Step-by-step explanation:

12.50 multiplied by 8.

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

someone answer part B.

Answers

Not letting me add answer

Refer to the attachment

Graph f(x) = x and g(x) = 5x + 1. Describe the transformations from the graph off to
the graph of g.

Answers

Answer:

the G graph runs straight through the middle while the F does not

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