(x - 1)2 = 4
how do i do this

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

(x - 1)2 = 4

how to get this solved is very simple.

first step to apply is the BODMAS RULE

B..................... bracket

O..................... of

D.....................Division

M.................... multiplication

A..................... addition

S.................... Subtraction

so (x - 1)2 = 4

we have,

2x - 2 = 4 ( by opening the bracket)

collect the like terms

2x = 4+2

divide both sides by 2

2x/2 = 6/2

x = 3

to check if your answer is correct put the value of x = 3 into the question and see if the right hand side will equal to the left handside

(x - 1)2 = 4

(3-1)2=4

2(2)=4

4=4.............................. proved


Related Questions

( 2x^4+2x^3+x^2-x-1 ) \ ( x^2-x-1 )

Answers

Answer:

[tex]\frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } = 2 {x}^{2} + 4x + 8 + \frac{11x + 7}{ {x}^{2} - x - 1 } [/tex]

Step-by-step explanation:

We want perform the following polynomial division.

[tex] \frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } [/tex]

We carry out the polynomial division in the attachment to obtain:

[tex]\frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } = 2 {x}^{2} + 4x + 8 + \frac{11x + 7}{ {x}^{2} - x - 1 } [/tex]

See attachment;

How far up does the ladder reach on the building?


Round your answer to the nearest hundredth.


A. 6.67 m

B. 3.75 m

C. 0.6 m

D. 15 m

Answers

Step-by-step explanation:

The question missing attachment (incomplete)

But the question said how far up does the ladder reach on the building?

See the attachment

Let the tita be 60° and the height of the building be 50 meters

Now

Opposite/hypotenuse = sin(tita)

50/x = sin60°

Cross multiply to find x

x = 50/sin(60°)

x= 50/0.8660

x=57.7 meters

Answer:

A. 6.67 m

Step-by-step explanation:

Below are attachments containing the complete question and solution

What is the area of the parallelogram?

A. 11 square centimeters

B. 22 square centimeters

C. 15 square centimeters

D. 30 square centimeters

Answers

Answer: D

Step-by-step explanation:

5x6=30

It would be d) 30 square centimeters

Identify a possible first step using the elimination method to solve the system and then find the solution to the system.
2x - 5y = 11
3x + 2y = 7
Multiply first equation by 3 and second equation by 2. solution (5, 1)
Multiply first equation by 2 and second equation by - 3 solution (3-1)
Multiply first equation by -3 and second equation by-2. solution (3.1).
Multiply first equation by -3 and second equation by 2. solution (3,-1) |

Answers

[tex]\bf \begin{array}{lcrrrrr} 2x-5y=11&\stackrel{\stackrel{\textit{\large first step}}{\downarrow }}{\times -3}\implies &-6x&+&15y&=&-33\\ 3x+2y=7&\times 2\implies &6x&+&4y&=&14\\\cline{3-7} &&0&+&19y&=&-19 \end{array} \\\\\\ y = \cfrac{-19}{19}\implies \boxed{y=-1} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{2x-5(-1)=11\implies 2x+5=11}\implies 2x=6\implies x = \cfrac{6}{2}\implies \boxed{x = 3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (3~~,~~-1)~\hfill[/tex]

PLEASE HELP!! Will grant brainliest !!!

Answers

For y = -x^2 + 9, it would be maximum 9, since x is negative.
For y = 2x + 1, it would be minimum 1, since x is positive.

Mr. Bart needs to spend less than $40 on cups and plates for a cookout. He bought the plates he needed for $24. The packages of cups cost $4 each. How many packages of cups, x, can he buy?

Answers

Answer: 4 cups

Step-by-step explanation: 40 - 26 = 16

16/4 = 4

Mr Bart can buy 4 packages of cups. $4 times 4 packages is $16 and 16 + $24 = $40. Hope this helps

Five times the sum of a number and 27 is greater than or equal to six times the sum of that
set of this problem?

Answers

Answer:

B

Step-by-step explanation:

I really need help this is math

Answers

Answer:

x=-18

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well we'd just solve the equation!

-7+1=-1+x/3+1

-6*3=x/3*3

x=-18

And to check:

-1+-18/3

-1-6=-7

^u^

(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥

˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜

-7 = -1 + [tex]\frac{x}{3}[/tex]

To solve this you must isolate x.

On the right side of the equation the one is negative. To cancel the -1 from the right side you must add 1 to both sides (what you do to one side you do to the other) since addition is the opposite of subtraction (negative). Doing this will make -1 zero on the right side of the equation and bring it over to the left side

-7 + 1 = -1 + 1 +  [tex]\frac{x}{3}[/tex]

-6 = 0 +  [tex]\frac{x}{3}[/tex]

-6 =  [tex]\frac{x}{3}[/tex]

The x is being divided by 3 and the opposite of division is multiplication.  To completely isolate x you must multiply 3 to both sides. This will cancel the three out on the right side of the equation and bring it over the left side.

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

-18 = x

Now check:

-7 = -1 + [tex]\frac{-18}{3}[/tex]

-7 = -1 + (-6)

-7 = -7

^^^This is true which means that x = -18

I hope this helped! Let me know if you have any questions

~Just a girl in love with Shawn Mendes

what is 6x divided by 6 equal?
please answer soon!

Answers

answer: x
6x is the same as 6 times x

6x divided by 6 will be equal to x.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 6x is divided by 6. The solution will be done as below:-

E = 6x / 6

Divide 6 by 6 we will get 1. The value of expression will be:-

E = x

Therefore, 6x divided by 6 will be equal to x.

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midpoint of (1,3) and (4,-5)

Answers

Answer:

The rigth answer is, ( 5/2 , -1 )

Step-by-step explanation:

To find the midpoint we use the respective formula:

m = ( x1 + x2 / 2 ,  y1 + y2 / 2 )

We replace:

m = ( 1 + 4/2  ,  3 + (- 5) / 2 )

We solve:

m = ( 5/2 ,  -1 )

Find the distance from N to T.

a.) 29
b.) square root of 14
c.) 7
d.) square root of 29

Answers

Answer:

The distance from N to T is :  [tex]\sqrt{29}[/tex]   or   (square root of 29)

Step-by-step explanation:

From the given the diagram

N(-2, -1)T(3, 1)

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\mathrm{The\:distance\:between\:}\left(-2,\:-1\right)\mathrm{\:and\:}\left(3,\:1\right)\mathrm{\:is\:}[/tex]

[tex]=\sqrt{\left(3-\left(-2\right)\right)^2+\left(1-\left(-1\right)\right)^2}[/tex]

[tex]=\sqrt{\left(3+2\right)^2+\left(1+1\right)^2}[/tex]

[tex]=\sqrt{5^2+\left(1+1\right)^2}[/tex]

[tex]=\sqrt{5^2+2^2}[/tex]

[tex]=\sqrt{25+4}[/tex]

[tex]=\sqrt{29}[/tex]

Therefore, the distance from N to T is :  [tex]\sqrt{29}[/tex]   or   (square root of 29)

Answer:

it is the square root of 29

Step-by-step explanation:

In the diagram below DE is parallel to XY what is the value Y

Answers

Those are consecutive interior angles of a transversal across parallel lines.  That mouthful means they're supplementary, adding to 180°.

Answer: B. 75

the answer is 105 because the angles are consecutive interior so the angle measure will be the same

Help me find the area please

Answers

[tex] \frac{1}{2} \times 8 \times 4 = \frac{32}{2} = 16[/tex]

[tex] \frac{115}{360} \times \pi \times {5}^{2} \\ = 25.08[/tex]

AREA OF THE COMPOSITE FIGURE

[tex]16 + 25.08 = 41.08ft^{2} [/tex]

If a car travels at an average rate of "x" miles per hour, how many miles will the car travel in six hours? A) 6x B) x + 6 C) x 6 D) 6 x

Answers

The total number of miles the car can travel in 6 hours is A. 6x miles per hour

To calculate the miles the car will travel in six hours

By using the formula of Distance = Rate * Time

Given that,

Average rate is given as "x" miles per hour

the time = 6 hours

To calculate the total miles in 6 hours = x * 6 miles per hour

Total miles = 6x miles per hour

Therefore, the total number of miles the car can travel in 6 hours is 6x miles per hour

Simplify in terms of i: square root of -36

Answers

Answer:

6i

Step-by-step explanation:

[tex]\sqrt{-36} = \sqrt{36} * i = 6 * i = 6i[/tex]

The square root of a negative number can always be simplified by doing this:

1) take the negative sign out of the square root.

2) multiply by i.

if the slope of line ab is m what is the product of the slopes of ab and a line parallel to ab

Answers

All parallel lines have the same slope. So the product of the slopes of line AB n a line parallel to AB is m*m=m^2

Which of the following values in the set below will make the equation 4x + 2 = 18 true? (Only input the number.) {0, 1, 2, 3, 4} Numerical Answers Expected! Answer for Blank 1:

Answers

Answer:

The answer is 4

Step-by-step explanation:

Substitute 4 for x and you get 4(4)+2=18.

please help i will give brainlest answer​

Answers

Answer:

1.27

Step-by-step explanation:

There are 30 mystery books in Chin's
book collection. If 6% of his books
are mysteries, how many books does
Chin have in his collection?

Answers

the percentage would be 94%

A pet store sold 145 bags of beef flavored dog food and 263 bags of cheese-flavored dog food. How many bags of dog food were sold?

Answers

Answer:

408 bags of dog foods were sold

Step-by-step explanation:

145 bags of beef flavored dog food

                           +

263 bags of cheese flavored dog food

                         =

408 bags of dog foods were sold.

Curriculum 2.0 Geometry: Unit 3-Topic 1, SLT 9

Applying Volume Formulas to Pyramids and Cones


3. Determine the volume of the cone shown below. Give your answers in terms of u and then round your

answer to the nearest thousandth.

V = 58.667pi


4. Find the dimensions of a cone that is similar to the one given above and sketch the cone.

Explain how you determined your answers.

Answers

Answer:

3.) 200. Or in exact terms 184.3078162

4.) What?

Step-by-step explanation:



The graph shows Cathy's math grade over the semester. Which situation could the graph represent?



A)Cathy's grade starts out high, then drops, then evens out to what it started as.B)Cathy's grade remains the same throughout the semester.C)Cathy's grade starts out low, the rises, then drops again.D)Cathy's grade starts out low, drops even lower, and then rises at the end of the semester.​

Answers

Answer:

The answer is C Usatesprep

Step-by-step explanation:

Answer

The correct answer for this problem is

A)Cathy's grade starts out high, then drops, then evens out to what it started as.

Step-by-step explanation:

I know this because I just took the test

Un estudiante planifica gastar 2/5 de sus ganancias en su educación. Si se gana 25000 este año, cuanto planifica gastar en su educación?

Answers

For this case we have:

A student plans to spend 2/5 of his earnings on his education. If you earn 25,000 this year, how much do you plan to spend on your education?

x: Let the variable that represents the student's earnings

y: Let the variable that represents the planned expenditure for education

If you plan to spend[tex]\frac {2} {5}[/tex] of your earnings on education we have:

[tex]y = \frac {2} {5} x[/tex]

According to the statement we have to:

[tex]x = 25,000[/tex]

So:

[tex]y = \frac {2} {5} (25000)\\y = 10,000[/tex]

Thus, the student plans to spend 10,000 on his education

Answer:

10,000

What is the area of the trapezoid? A trapezoid has a base of 12 centimeters, a height of 16 centimeters, and a top side length of 10 centimeters. 176 cm2 192 cm2 208 cm2 224 cm2

Answers

Answer:

176

Step-by-step explanation:

option a ( 176 cm²)

A trapezoid has a base of 12 centimeters, a height of 16 centimeters, and a top side length of 10 centimeters.

To find the area, we use the formula for the area of a trapezoid:

Area = 1/2 × (Base1 + Base2) × Height

Here, Base1 is 12 cm,

Base2 is 10 cm, and

the height is 16 cm.

the sum of the bases:

12 cm + 10 cm

= 22 cm.

Multiply by the height:

22 cm × 16 cm

= 352 cm².

Divide by 2 to get the area:

352 cm² ÷ 2

= 176 cm².

So, the area of the trapezoid is 176 cm².

Which answer best describes the shape of this distribution?


bell-shaped

skewed right

skewed left

uniform

Answers

The answer is Skewed right

Answer: B

Step-by-step explanation:

Select the correct answer.
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
OA y= 3x + 4
O B. y= 3x - 14
OC. y= 3x-4
OD. y = 3x + 12​

Answers

Answer:

y=3x+4

Step-by-step explanation:

The equation of the straight line that passes through (-3,-5) with slope 3 can be found using

[tex]y = mx + b[/tex]

where m=3 is the slope .

We substitute the slope to get:

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

We substitute the point to find b.

[tex] - 5 = 3( - 3) + b \\ - 5 = - 9 + b \\ b = - 5 + 9 = 4[/tex]

The equation of the straight line is:

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

Answer:a

Step-by-step explanation:

pls help! will give brainlist!

find the volume of the figure above in cubic centimeters.

A. 56 cm³
B. 96 cm³
C. 16 cm³
D. 14 cm³

Answers

Answer:

volume is b=96cm^3

Step-by-step explanation:

3. © MP.6 Be Precise Aiden has three
$20 bills and two $10 bills. He wants
to save a total of $95. How much more
money does he need? What bills could
they be?

Answers

Answer:

he needs  15 more dollors, and they could be a 10 and a five, 15 ones, or 3 5s.

Step-by-step explanation:

20+20+20+10+10= 80

95-80= 15

10+5= 15

1 x 15= 15

5 x 3 = 15

therefore, he needs 15 more dollors, and they could be a 10 and a five, 15 ones, or 3 5s.

hope this helps

~ angilena

2. Fred and Mary Merrill want to purchase a new car. The car has a base
price of $16,700, options totaling $1.095, and a destination charge of
$325. They read in a consumer magazine that the dealer's cost for the car
is 90 percent of the base price and 87 percent of the options price. What
should they estimate as the dealer's cost? *
O
$15,764.40
O
$15,806.65
O
$16,275.15
O
$16,307.65

Answers

Final answer:

To estimate the dealer's cost, calculate 90% of the base price and 87% of the options price. Add the dealer's cost of the base price and options price to find the estimated dealer's cost.

Explanation:

To estimate the dealer's cost, we need to find 90% of the base price and 87% of the options price.

90% of $16,700 (base price) = $16,700 x 0.90 = $15,03087% of $1,095 (options price) = $1,095 x 0.87 = $952.65Adding the dealer's cost of the base price and options price: $15,030 + $952.65 = $15,982.65

Therefore, the estimated dealer's cost is $15,982.65.

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How do you write twenty minus the product of 4 and a number is 4

Answers

Answer:

Twenty minus (20 -) the product of four and a number (4n) is (=) four (4) is written algebraically as: 20-(4n) = 4 Subtract 4 from both sides.

Step-by-step explanation:

mark brainliest

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