HELP ME, PLEASE.

find x:
[tex](x-1)\sqrt{x^{2}-2x+4 }+(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]

Answers

Answer 1

Answer:

x=2

Step-by-step explanation:

Answer 2

Step-by-step explanation:

x=2to understand thisyou need to know about:equationgiven:

[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]

to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]

[tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex]

[tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex]

[tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]

Related Questions

is this a function or not

Answers

Answer:

No

Step-by-step explanation:

x=5 produces y=3 and y=5 so the relation is not a function.

Yes that is function by looking that this

y

what 5-2 to the power of 5

Answers

Answer:

243

Step-by-step explanation:

(5-2) = 3

3 to the power of 5 is 3x3x3x3x3

3x3x3x3x3 = 243

Answer:

(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243

Step-by-step explanation:

WHat is 9 to the the power of infinity timees the number of cubic inches

Answers

Answer:

...infinity cubic inches?

Step-by-step explanation:

The point is plotted on the number line.
What whole number best approximates the value of x?

Answers

Answer:

D. 104

Step-by-step explanation:

After taking the square root of all possible answers 104 gives you 10.19 in decimal form which is the closest and most accurate number to 10.2 where the point is closely located to.

Courtney walks 3 laps around a 3-mile track. [1 mile is 5280 feet]. How far does she walk?​

Answers

Answer:

9 miles, or 47520 feet :)

Step-by-step explanation:

Answer:

47520

Step-by-step explanation:

3x3=9

5280*9=47520

Write the sentence as an inequality. A number x is less than 7 and greater than 3

Answers

X LS 7 GT 3
Um or
X LS 7+3

The inequality as per the given statement will be equal to 3 < x < 7.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the information in the question,

Let the number is x.

x is less than 7.

x < 7 and,

x is greater than 3,

So, x > 3

So, it can be written in combined form as:

3 < x < 7

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Answers

Answer:

the first rectangle im pretty sure is 32

the second one is 12.8

Step-by-step explanation:

half of 8 is 4 and half of 25.6 is 12.8

Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?

Answers

Answer: 0.08

Dont belive the dummy that said 0.30

Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

Given information:

Antonio's dad bought gas for their family's ATV two weeks in a row.

Last week, he bought 12 gallons for $35.40.

This week, he bought 9 gallons for $25.83.

So, the cost of one gallon for last week is,

[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]

The cost of one gallon for this week is,

[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]

So, the extra charge paid by his dad for the last week for one gallon will be,

[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]

Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

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A runner sprinted for 117 yards (yd). How many feet (ft) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. ft mi yd 1760 yd 1 mi 3 ft 1 ft 12 in 1 yd Ratios: 1 mi 1760 yd 1 yd 3 ft 12 in 1 ft . in Х 117 yd 1 ft 0 x IK IT LOOKS CONFUSING SO LOOK AT THE PICTURE HELP ME PLEASE!!!!:)​

Answers

Answer:

117 yd/1 x 3 ft/1 yd = 351 ft

Step-by-step explanation:

[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]

A runner sprinted for 351 feet.

Given that, a runner sprinted for 117 yards (yd).

How to convert yards to feet?

To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.

Here, multiply the ratio 117/1 by 3/1.

That is, 117 × 3 =351 ft

Therefore, a runner sprinted for 351 feet.

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-3x+3y=3 and -5x+y=13

Answers

Answer:

y = x + 3

y = 5x + 13

giving brain list ..

options:

C is the midpoint of BD


reflexive property
definition of midpoint
vertical angles
given

Answers

Answer:

1. A is congruent to C

2. Given

3. I think line ac is congruent to line ce, don't know the options

4. angle ABC is congruent to angle DCE

5. Possibly vertical angles

Tony is selling boxes of cookies. He charges $7 for the box plus $2 per cookie.One filled box sells for $35 how many cookies will fit in the box

Answers

Answer:

14

Step-by-step explanation

you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$

Find the value of a and b when x =10

Answers

Answer:

A=250

B=10

Step-by-step explanation:

You plug in 10 for x and solve

Let’s do a first.
So to start, we need to substitute 10 into the equation, so:
a = 5 x (10 squared) / 2
Which can be simplified to
a = 5 x 100 / 2
a = 500 / 2
a = 250

Now onto b. Again, we need to substitute 10 into the equation, so:
b = (2 x (10 squared))(10 - 5) / 10 x 10
Which can be simplified to
b = (2 x 100)(10 - 5) / 10 x 10
b = 200(10 - 5) / 10 x 10
b = 200(5) / 10 x 10
b = 1000 / 10 x 10
b = 1000 / 100
b = 10

Paid the rent for the month,$650

Answers

Answer:

whats the question here

Step-by-step explanation:650 rent

what’s 10/13 as a decimal rounded to the nearest tenth

Answers

Answer:

brainleist plzz

Step-by-step explanation:

Fraction Decimal Percentage

10/13 0.7692 76.92%

A fraction is a way to describe a part of a whole. The value of 10/13 as a decimal rounded to the nearest tenth is 0.8.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The given fraction can be written in decimal form by dividing 10 by 13, therefore, we can write the fraction as,

10/13

= 10 ÷ 13

= 0.76923

Since the number is needed to be rounded off to the nearest tenth, therefore, we need to look at the hundredth term, if that term is more than equal to 5, we will leave the tenth term as it is, while if the hundredth term is more than 5 we will round off the tenth term to the next term.

In this case, the hundredth position is taken by 6, therefore, the tenth term will become 8 from 7.

10/13

= 10 ÷ 13

= 0.76923 ≈ 0.8

Hence, the value of 10/13 as a decimal rounded to the nearest tenth is 0.8.

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8. A sequence can be generated by using 2n - 11. What are the first four terms in
the sequence?

Answers

Answer:

              [tex]\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}[/tex]

Step-by-step explanation:

[tex]a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3[/tex]

Which of the following inequalities is shown in the graph

Answers

Answer: D) y ≤ 5/2x + 5

The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.

Hope this helps!

can you tell me the answer​

Answers

x would be equal to 1/4

Which property is shown: 3t + 2r = 2r + 3t?​

Answers

Answer:

Commutative Property

Step-by-step explanation:

The commutative property shows two values or equations that are similar, but in a different order.

Examples:

3 + 4 = 4 + 3

5x + 2h = 2h + 5x

Janice is making plans for her company party. She has a budget of $100 ta
spend. She plans to buy pizza for $12 each, but there will also be a $4
delivery charge. How many pizzas can she afford to buy?

1. Write the equation: ______
2. Janice can buy ___ pizzas for the party.

PLEASE HELP! <3

Answers

She can spend exactly $100 because she can buy 8 pizzas with a 4 dollar delivery charge

Para la venta de las misiones, la señora Susy preparó chilibeans , para lo cual compró 4 1/2 kg de frijol. Como no tenía una olla suficientemente grande, tuvo que prepararla en tres recipientes: dos de ellos eran del mismo tamaño, pero el tercero tenía la mitad de capacidad que los otros. ¿Cuánto frijol puso en cada recipiente si lo dividió de manera proporcional al tamaño de los recipientes?

Answers

Answer:

En cada recipiente grande coloco 1.8 kilos de frijoles y en el recipiente pequeño coloco 0.9 kilos.

Step-by-step explanation:

dividio los frijoles en 3 recipientes

volumen total de los 4 recipientes = 2x + 2x + x = 5x

esto se debe a que los 2 mas grandes tenian el mismo tamaño (2x), mientras que el pequeño tenia solo la mitad (x)

4.5 kilos de frijoles / 5 x

x = 0.9 kilos de frijoles

recipiente grande = 2 · 0.9 = 1.8 kilos

My sister gave me $12 for my birthday. I now have 3 times as much as I did before. How much money did I have originally?

Answers

Answer:

36 is the answer

8 x 101 which one is it?
8
8O
800

Answers

Answer:

808

Step-by-step explanation:

Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X

Answers

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X  + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

Write a biconditional statement for: A prime number has only 1 and itself as factors. What is the truth value?

Answers

Answer:

The statement is;

A number is a prime number if and only if it has 1 and itself as factors

The truth value of this statement is true T

Step-by-step explanation:

The biconditional statement will use the statements if and only if.

Thus, we have;

A number is a prime number if and only if it has only 1 and itself as factors

The truth value of the biconditional statement is T ( true)

James is studying different kinds of weather.

Rain has water drops that are larger than 0.02 inch in diameter.
Small hailstones are less than 14 inch in diameter.
Complete the statement that best represents the different kinds of weather James studied. Select one correct answer from each box to complete the sentence.








A


B


C


D


E


F


G


H

Answers

Answer:

i got b and h{i hope this helps}

Step-by-step explanation:

Nicole babysits on the weekends. She charges a flat fee of $10 and then $5 per hour. If she made $40 on Friday night, how many hours did she babysit?

Choose the equation to represent this situation.

Group of answer choices

Answers

Since she charges a flat fee of 10 what she made from babysitting would be 30 dollars and if you divide 30 dollars by 5 it would calculate to 6 hours of babysitting.


What is the slope of the line that passes through the points (-5,7) and (10, 1)?
А
m = 5/2
B
m = -5/2
С
m = -2/5
D
m = 2/5

Answers

y= -2/5x + 5 is the equation, so the correct answer would be c

The points are (-5,7) and (10,1). The slope of the points is -2/5.

How to calculate a slope ?

Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.

Given that,

The points are (-5,7) and (10,1).

We have to find the slope of the points.

The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,

Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Here,

x₁=-5,

y₁=7

x₂=10

y₂=1

Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]

Slope of the points =(-6)/(15)

Slope of the points = -2/5

Therefore, the slope of the points is -2/5.

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Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?

Answers

Answer:

Number of students in each group = 8

Step-by-step explanation:

kevin and monica led the same number of vistors.

Let x = number of students in each group

Kevin lead 150 adults, plus 6 student groups.

150 + 6x

Monica led 134 adults, plus 8 student groups.

134 + 8x

Equate both equations

150 + 6x = 134 + 8x

Collect like terms

150 - 134 = 8x - 6x

16 = 2x

Divide both sides by 2

x = 16 / 2

= 8

x = 8

Number of students in each group = 8

The shoes cost 35.00 and the tax is 6.5%. How many tax will you pay on the shoes?

Answers

Answer:

The tax is 2.28

Step-by-step explanation:

Take the cost of the shoes and multiply by the tax rate

35 * 6.5%

Change to decimal form

35 * .065

2.275

Round to the nearest cent

2.28

The tax is 2.28

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