√25x+75 +3√x-2 =2+4√x-3 +√9x-18

Answers

Answer 1

Answer: No solutions

Step-by-step explanation:

[tex]\large \bf \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b} }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2} \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\ \ \ \ let \ \ t=x+3 \ \ ; \ \ \ t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\[/tex]                                   [tex]\large \boldsymbol{} \bf 25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D<0 \ \ no \ \ solutions[/tex]


Related Questions

Help anyone can help me do the question,I will mark brainlest.​

Answers

Answer:

Step-by-step explanation:

S=pi*R^2=(area of the sector)*(360/angle of AOB)

so 22/7*9^2=99*360/angle of AOB

-> AOB=140

perimeter of circle: 2*pi*R

permiter of sector : 2*pi*140/360*R+ 2R=22+9*2=40

O Valor da incógnita b é:


2


3


4


5

Answers

Answer:

there are relationship between sides of two triangle

Step-by-step explanation:

if 2 multiply by 2 and it new form 4 you should multiply 2 to all side of first triangle so this means 1*2 f=2 and b*2=6 b= 3

salini's mother's present age is 8 times salini's present age five years from now salini's age will be 1/4th of of his mother's present age what are their present ages

Answers

Answer:

salini -= 5 years

mother = 40years

Step-by-step explanation:

[tex]salini = x \\ mother =8x \\ x + 5 = 1 \: of \: 8x \\ x + 5 = 2x \\ 5 = x [/tex]

[tex]5 = x[/tex]

then you equate the values of x

Find the measurement of the diagonal indicated in the following parallelogram

Answers

Answer:

If KF = 19, then KM = 38.

Step-by-step explanation:

The point that intersects the two diagonals of a symmetrical quadrilateral marks the halfway point of the diagonals. Since we know that KF = 19 and that 2(KF) = KM, as KM is a diagonal of this parallelogram, we just do the following:

2(KF) = KM

2(19) = KM

38 = KM

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your
answers as radicals in simplest form.

Answers

Answer:

x = 10

y = 5

Step-by-step explanation:

Applying Trigonometry ratio

sin∅ = opposite/hypotenuse

cos∅ = Adjacent/hypotenuse

From the diagram,

sin60° = 5√3/x

make x the subject of the equation

x = 5√3/sin60°

But, sin60° = √3/2

x = 5√3/(√3/2)

x = (5√3)(2/√3)

x = 10.

Also, applying

cos60° = y/x

Where x = 10, cos60° = 1/2

y = xcos60°

y = 10(1/2)

y = 5

the ratio of corresponding side of similar triangles is 5:2, then find the ratio of their areas ​

Answers

Answer:

25:4

Step-by-step explanation:

The ratio of the sides is 5:2

The ratio of the areas is the scale factor squares

5^2 : 2^2

25:4

G(x)=3x+2 encontrar el dominio, codominio y haga tabla de valores

Answers

Answer:

x=

[tex]x = \frac{2}{g - 3} [/tex]

explainion is shown in picture above. Hope this helps

Help me find x- geometry

Answers

Answer:

We know that,

The sum of the two opposite angles of a circular quadrilateral is 180 degrees.

So,

[tex] \sf {47}^{ \circ} + 7x + {21}^{ \circ} = {180}^{ \circ} \\ = > 7x = {180}^{\circ} - {47}^{\circ} - {21}^{\circ} \\ = > 7x = 112 \\ = > x = \frac{112}{7} \\ = > x = {16}^{\circ} \\ [/tex]

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚

Using the above theorem

47 + 7x + 21 = 180

7x + 68 = 180

7x = 180 - 68

7x = 112

x = 112/7

x = 16

Therefore value of x is 16°

Answered by Gauthmath must click thanks and mark brainliest

the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.

Answers

Answer:

Width: 160

Length: 80

Step-by-step explanation:

Width = 2x and length = x

X + 0.5x + 2x - 0.4x = 248

3.1x = 248

X = 248/3.1

X = 80

Width = (2)(80) and length = 80

Find the missing side. Round to the nearest tenth

Answers

We know

[tex]\boxed{\sf cos\theta=\dfrac{Base}{Hypotenuse}}[/tex]

[tex]\\ \sf\longmapsto cos59=\dfrac{x}{28}[/tex]

[tex]\\ \sf\longmapsto 0.5=\dfrac{x}{28}[/tex]

[tex]\\ \sf\longmapsto x=28\times 0.5[/tex]

[tex]\\ \sf\longmapsto x\approx 14[/tex]

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

[tex] \cos( \theta) = \frac{a}{h} \\ \cos(59) = \frac{x}{28} \\ 0.5 \times 28 = x \\ 14 = x[/tex]

A shopkeeper sold a piece of kurta salwar for rs. 1080 at a loss of 10%.At what price should he sell to gain 10% on it​

Answers

Answer:

1320 Rs.

Step-by-step explanation:

let cost price=x

loss=10 %

S.P.=x×90/100=9x/10

9x/10=1080

x=1080×10/9=1200 Rs

so C.P.=1200 Rs

gain=10%

S.P.=110/100×1200=1320 Rs

please help with this I don't know what to do​

Answers

Step-by-step explanation:

we solve for x

15x-(2/x)>1. /*x

15x^2 -2 > x. /-x

15x^2 -x -2 > 0

Solve the quadratic at zero

15x^2 -x -2=0

using the quadratic formula

x1,2 = [1+-sprt((-1)^2-4(15)(-2))]/2(15)

= [1+- sqrt (121)]/30

= [1+-11]/30

x1= 12/30= 2/5

x2= -10/30= -1/3

therefore this positive parabola is greater than zero or positive when

x< -1/3 and x> 2/5

find the measure of the indicated angle to the nearest degree​

Answers

Answer:

71°

Step-by-step explanation:

12/36 = 1/3

inverse cos(1/3) = 70.53 = 71

Suppose you roll a die. Find the probability of the given event. Simplify your answer. P(a number less than 7)​

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 faces on a die, and you can only roll one face only. So, the denominator will be 6 because there are 6 faces, and 1 as the numerator because that's the equal proportion for each face (unless you use two dice)

Can you help me please please correct my

Answers

Answer:

a = m/c

~~~~~~~~~~~~~~~~~~~~~~~

m=ca

divide both sides by c

you get a = m/c

Step-by-step explanation:

Answer:

a = m/c

Step-by-step explanation:

m = ca

divide both sides by c

m/c = ca/c

m/c = a

:.a = m/c

Which is an equivalent equation solved for g? StartFraction A t Over 60 EndFraction equals g.= g StartFraction A Over 60 t EndFraction equals g. = g StartFraction 60 A Over t EndFraction equals g. = g 60At = g

Answers

Answer:

A. StartFraction A t Over 60 EndFraction equals g

g = At/60

Step-by-step explanation:

The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 a equals 60 left-parenthesis StartFraction g Over t EndFraction right-parenthesis.. In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes. Which is an equivalent equation solved for g?

A. StartFraction A t Over 60 EndFraction equals g

B. StartFraction A Over 60 t EndFraction equals g

C. StartFraction 60 A Over t EndFraction equals g. = g 60At = g

Given equation:

A = 60(g/t)

Where,

A = Average goal

g = number of goals scored against the goalie

t = the time played

Which is an equivalent equation solved for g?

A = 60(g/t)

Open parenthesis

A = 60g / t

Cross product

A * t = 60g

At = 60g

Divide both sides by 60

g = At/60

Answer:

At/60 = g

( option A )

which kind of triangle is shown.
1. obtuse isosceles
2. acute equilateral
3. obtuse scalene
4. right scalene

Answers

Answer: 2, acute equilateral

Step-by-step explanation:

the image shows a triangle with all 3 sides congruent and 3 acute angles

A pile of sand has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What is the area of the conical tarpaulin needed to cover the pile?

Answers

Answer:

The area of tarpaulin is 1315.63 ft^2.  

Step-by-step explanation:

height, h = 20 feet

circumference, C = 102 feet

Let the radius is r.

Circumference, C = 2 x 3.14 x r = 102

r = 16.24 feet

Let the slant height is L.

[tex]L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft[/tex]

The curved surface area is

S = 3.14 x r x L

S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2

Answer:

400pi square feet

Step-by-step explanation:

Find the radius

Find the slant height

Put it in the formula for a cone but take the circumference part out

Divide your answer by pi

The question asks for the closest answer

400pi square feet is the closest option to 418.17pi square feet.

i need help with this question pls! :)

Answers

Hi there!

[tex]\large\boxed{\text{9 quarters}}[/tex]

We can let x = dimes and y = quarters.

We know that one dime = $0.10 and a quarter = $0.25, so:

$3.05 = $0.10x + $0.25y

And:

17 = x + y

Solve the system of equations. We can rearrange the bottom equation to create an expression equal to y:

17 - x = y

Substitute this into the top equation for y:

3.05 = 0.10x + 0.25(17 - x)

Distribute and simplify:

3.05 = 0.10x + 4.25 - 0.25x

3.05 = 4.25 - 0.15x

Solve for x:

-1.2 = -0.15x

x = 8

Find y using the above expression:

17 - 8 = y

y = 9

What is the slope-intercept equation for the line below?

Answers

Step-by-step explanation:

given that the coordinate is (0,1)(4,3)

x¹=0, y¹=1, x²=4 y²=3

M=> Gradient => (y²-y¹)/(x²-x¹)

M=(3-1)/(4-0) => 1/2

Therefore the slope-intercept equation

M=(y-y¹)/(x-x¹)

1/2 = (y-1)/(x-0)

x=2y-2

2y=-2-x

y=-x/2 - 1

Ai đó giúp mình với. Bài này mình không nghĩ ra cách giải

Answers

Answer:

-3 -2. 1 0 2 3 -2 3

Step-by-step explanation:

please make it a brainliest answer.

help. i can't find the answer anywhere and i hate doing slope

Answers

Answer:

put one point at (2, -4) and the other at (0, -1)

you can find the second point using the slope -3/2

A. -5x+4y=-20
B. -5x-4y=-20
C. -5x+4y=0
D. 5x+4y=-20

Answers

A is the answer because, when graphing, we use y= mx + b
So the first step is to change the equation into that.
We know m = the slope and b = the y-intercept

So,
m = y1-y2/x1-x2 ( I decided to use the intercepts)

The rest is on the paper, and sorry I wasn't neat with my working

Need help please with the step by step explanation

Answers

Answer:

exponential decay (0,8)

Step-by-step explanation:

It’s (0,8) ur welcome

One pipe can fill a pool in 6 hours. The second pipe can drain the pool in 18 hours. How long will it take to fill the pool if both pipes are working?

Answers

one pipe 6 hours fill

two pipe 6 ÷2= 3 hours

Answer:

x=9

Step-by-step explanation:

Help what is x
When x^5 is 225

Answers

Answer:

Solution given:

x^5=225

we have

x=[tex] \sqrt[5]{225} [/tex]

x=2.9541

Hello!

[tex] \bf {x}^{5} = 225[/tex]

Extract the radical on both sides of the equation.

[tex] \bf x = \sqrt[5]{225} [/tex]

[tex] \bf x ≈2.95418[/tex]

Answer: x 2,95418

Good luck! :)

a stone has a mass of 10kg on earth. calculate the weight on the moon. accelaration on the moon is 10 m/s2

Answers

Answer:

Weight of the stone is 100 N

Step-by-step explanation:

[tex]{ \boxed{ \bf{weight = mass \times acceleration}}} \\ { \sf{weight = 10 \times 10}} \\ { \sf{weight = 100 \: newtons}}[/tex]

What is the probability of getting ALL 2 red balls in a bag containing 24 balls?

Answers

Answer:

1 / 276

Step-by-step explanation:

The total Number of balls in the bag = 24

Number of red balls = 2

Assume the number of picks required = 2 and selection is performed without replacement ;

The probability of :

Choosing a red on first pick = (number of red balls / total number of balls) = 2 / 24

After first pick, red balls left = 1 ; total number of balls = 23

Choosing a red on second pick = (number of red balls / total number of balls = 1 / 23

Hence,

(2/24) * (1/23) = 2 / 552 = 1/276

HELP PLEASE BRAIN FOR CORRRECT

Answers

Answer:

1/6

Step-by-step explanation:

you divide y by x

y ÷ x

each column when you you divide y by x the answer is 1/6

Instructions: Given the figure, what is the angle of rotational symmetry?
Rotation:

Answers

The order of rotational symmetry is the number of times the shape maps onto itself during a rotation of 360°, for example:

a rectangle has order of rotational symmetry of 2; 180° and 360° rotations will map it onto itself.

for a regular hexagon has order of rotational symmetry of 6

for a regular square has order of rotational symmetry of 4

XxShazadixX.

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