Solve and show your work or explain.
[tex]x-\sqrt{2x-5}=5[/tex]

Answers

Answer 1

Answer:

[tex]x= 6+ \sqrt {6}[/tex]

Step-by-step explanation:

[tex]-\sqrt {2x-5}+x=5\\-\sqrt {2x-5}=-x+5\\\\\frac {-\sqrt {2x-5}}{-1} = \frac {-x+5}{-1}\\\\\sqrt {2x-5}=x-5\\2x-5=(x-5)^2\\2x-5=x^2-10x+25\\2x-5-(x^2-10x+25)=x^2-10x+25-(x^2-10x+25)\\-x^2+12x-30=0\\\\x=\frac {-12(+/-)\sqrt {12^2-4(-1)(-30)}}{2(-1)}\\\\x=6+\sqrt {6}[/tex]


Related Questions

In Mrs. Kee’s class there are 20 boys and 16 girls. 25% of her students wore a jacket to class. How many students wore a jacket to class?

Answers

Answer: 9

Step-by-step explanation: there are 36 students in total. Since 25% of students wore a jacket, you would multiply 36 by 1/4 which gets you 9, so 9 students wore jackets

Determine the x- and y-intercepts of the graph of x – 4y = 8. Then plot the intercepts to graph the equation.​

Answers

Answer:

the x is -8,0 and the y is 0,2

hope this helps!

I need help ASAP answer both questions please show work

Answers

Answer:

3. <BAC = <BCA

so,

x+x+36° = 180°

=>2x + 36 = 180

=>2x = 180–36

=>2x = 144

=>x = 144/2

=>x = 72°

please help :) :) Math is hard

Answers

Answer:

Hard math okay cant get

Step-by-step explanation:

Emma earned $120 at her part-time job.
She also received a bonus of 20% of her
salary for additional hours worked. How
much did Emma earn in all?

Answers

Answer:

She earned $144 in total.

Q4: Tell whether side lengths (4, 2, 5) form a Right Triangle.

Answers

Yes they would form a right triangle you can figure this out by adding the two smaller values and if that is equal to a larger number then the larger number then it is a right triangle

Lin read 44 pages in 132 minutes. Diego read 35 pages in 140 minutes. Who is reading at a faster rate, Lin or Diego? Show and Explain your reasoning.

Answers

Answer:

Diego

Step-by-step explanation:

divide 132 minutes by 44 pages and you get 3 pages per minute, then divide 140 minutes by 35 pages and you will get 4 pages per minute. so Diego reads 1 more page a minute than lin. hope i helped you :)

Describe the roots of x2 + 6x + 9 = 0

Answers

Answer:

x2+6x+9=0

x^2+3x+3x+9=0

x(x+3)+3(x+3)=0

x=-3 twice

Can someone help please?

Answers

Answer:

C

Step-by-step explanation:

If you reduce 21/28 you get 3/4 and if you reduce 12/16 you get 3/4 which makes them both proportional.

The height above the surface of the Earth​ (in meters) of a rock thrown into the air at 10​ m/s after x seconds is given by f(x)=−9.8x2+10x+1.5. On the surface of the​ moon, the height is given by g(x)=−1.6x2+10x+1.5. How much higher does the rock travel on the moon than on​ Earth? The rock travels about __ ​meter(s) higher on the moon than on Earth.

Answers

Answer:

Rock travels about 8.2x²meters higher on the moon than on the Earth.

Step-by-step explanation:

Expression showing the height of a rock thrown into the air at Earth is,

f(x) = -9.8x² + 10x + 1.5

Similarly, expression showing the height of rock thrown on the moon is,

g(x) = -1.6x² + 10x + 1.5

Difference in the height of the rock thrown on moon = g(x) - f(x)

= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)

= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5

= 8.2x²

Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.

Please hurry!! (But no rush, thank you)

Answers

Answer:

The answer is d 3 to the power of 108

Answer:

c

Step-by-step explanation:

:) srry if its wrong

12y = 4x + 8
A=
B=
C=
Can someone please help!!

Answers

12y = 4x + 8

A = 12y -4x + 8

B = 8yx = 8

C = yx =8/8

=yx = 1

2.4(x - 6) = -5.6x + 8​

Answers

Let's solve your equation step-by-step

2.4(x-6)=-5.6x+8

Step 1: simplify both sides of the equation

2.4(x-6)=-5.6x+8

(2.4)(x)+(2.4)(-6)=-5.6x+8 (distribute)

2.4x+-14.4=-5.6x+8

2.4x-14.4=5.6x+8

Step 2: Add 5.6x to both sides.

2.4x-14.4+5.6x=-5.6x+8+5.6x

8x-14.4=8

Step 3:Add 14.4 to both sides

8x-14.4+14.4=8+14.4

8x=22.4

Step 4 : Divide both sides by 8

8x/8 =22.4/8

Answer : x=2.8

n+5= -5

What is n? Thank you

Answers

Answer:

the answer is -10 -10+5=-5

-10 because 10-+5 so it should be -10

Which of the binomials below is a factor of this trinomial?
6x2 - 6x - 72

Answers

[tex]6 {x}^{2} - 6x - 72 = [/tex]

[tex]6( {x}^{2} - x - 12) = [/tex]

[tex]6(x - 4)(x + 3)[/tex]

Which number is IRRATIONAL?
A) 47
B)
0.09
C)
15
D)
8
45

Answers

Your answer would be B. 0.09, the reason being is that any number that has a 0 and then a decimal point is irrational (or a regular fraction

A man drives 3 km east from home to the store and then 2 km west to a friend’s house. What is his displacement from his starting point at home?

Answers

Answer:

1 kilometer east

Step-by-step explanation:

if you subtract 2 from 3 you get one, plus it's east with the bigger number, so that's why it's one kilometer east

The displacement from his starting point at home is 1 km.

What is a vector?

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

A man drives 3 km east from home to the store and then 2 km west to a friend’s house.

The term "displacement" refers to a shift in an object's location. It is a vector quantity with a magnitude and direction.

The displacement from his starting point at home is calculated as,

Displacement = 3 - 2

Displacement = 1

The displacement from his starting point at home is 1 km.

More about the vector link is given below.

https://brainly.com/question/13188123

#SPJ3

75 is % of 300 what is the answer

Answers

Answer:

25%

Step-by-step explanation:

Can someone help me

Answers

m < 1 = 130°

m < 1 = 130°m < 2 = 50°

We know this is a linear pair, therefore the two angles must add up to 180°

[tex](m < 1 )+ (m < 2 )= 180[/tex]

[tex]5x + x + 24 = 180[/tex]

Combine like terms

[tex]6x + 24 = 180[/tex]

Isolate the variable

[tex]6x = 156[/tex]

[tex]x = 26[/tex]

Plug in 26 for x in both of the individual angle equations.

[tex]m < 1 = 5x[/tex]

[tex] = 5(26)[/tex]

[tex] = 130[/tex]

[tex]m < 2 = x - 24[/tex]

[tex] = (26) + 24[/tex]

[tex] = 50[/tex]

A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.

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

Chang bought 15 pounds of flour for $7.
How many pounds of flour did he get per dollar?
Ũ poundsper dollar

Answers

he got 2.14 pounds of flour for each dollar

Answer:

2.14 pounds of flour per dollar

Step-by-step explanation:

This is a simple ratio. All you need to do is divide the amount he paid from the pounds to get how many he got for every dollar.

Which of the following scenario could be represented by 2/5?

Answers

Answer:   C

Step-by-step explanation: 2 is the numerator so you are dividing 2 by the denominator which is 5. Equation 2/5. So you can cross out A and B because they start with 5 and we need one that starts with 2. Then you can't divide people so your answer would be C because everything can be divided correctly.

Three sides of a triangle are consecutive even integers. The
perimeter of the triangle is 48 in. Find the side lengths of the
triangle.

Answers

Answer:

The side lengths of the triangle are 14, 16, and 18.

Step-by-step explanation:

(x) + (x + 2) + (x + 4) = 48

3x + 6 = 48

3x = 42

x = 14

(14) = 14

(14 + 2) = 16

(14 + 4) = 18

The required lengths of side of triangle are 14 in, 16 in and 18 in.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Sides of a triangle are consecutive integers.

Also given that,

Perimeter of triangle is 48.

Let the sides of triangle are x, x+2 and x +4.

x + x + 2 + x + 4 = 48

3x = 48 - 6

3x = 42

x = 14

The length of the triangles  

x + 2 = 14 + 2 = 16

x + 4 = 14 + 4 = 18

The side lengths of the triangle are 14, 16 and 18.

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ2

Segment addition, step by step on how u figure it out.

Answers

Answer:

Step-by-step explanation:

2x - 8 + x + 17 = 39

3x + 9 = 39

3x = 30

x = 10

2(10) - 8 = 20 - 8= 12 m for AB

10 + 17 = 27 m for BC

Simplify
6 minus the square root of 25 over 4
I would appreciate some help :)

Answers

6-5 (the square root of 25) is 1, so the answer is 1/4 or 0.25

Is 48.4 closest to 49 on a number line

Answers

Answer:

if there are any less than 4.84 then yes it is.

Step-by-step explanation:

please give brainliest and hope this helps

Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.

Work out the percentage increase in the cost of her car insurance

Answers

Answer:

The percentage increase in the cost of her car insurance is 260.4%

Step-by-step explanation:

First, we are going to find by how much the insurance increased:

We know that this year she pays £883 and the last year she paid £245, so

insurance increase = £883 - £245

insurance increase = £638

Now, we are going to find what percentage of the last year price is the insurance increase. So, to find the percentage increase in the cost of the car insurance, we need to divide the insurance increase by the last year price and multiply the result by 100%

percentage increase = (\frac{638}{245} )(

245

638

) (100%)

percentage increase = (2.604)(100%)

percentage increase = 260.4%

We can conclude that Jo's car insurance cost increased 260.4%

If anyone can read my teachers bad handwriting, please help me it is 1:30 in the morning and if someone does this for me I will be giving them a cookie and hugs::):):)

Answers

Answer:

she wrote: (3,1) (6,1) (6,4)

1 step one R (X-axis) -->   step two R (180°,0) --> step three R (Y-axis)

(I honestly have no clue what she is doing but, its stupid)

What's the slope and y-intercept of the 2 points: (1, -7) (-5, 0)

Answers

Answer:

Slope is -7/6. Y - intercept is -35/6

Step-by-step explanation:

Hope this helps!

Urgent help !!

The word "or" in probability implies that we use which operation?
A. Addition
B. Multiplication
C. Multiplication then subtraction
D. Subtraction

Answers

Answer:

its c

Step-by-step explanation:

i think im sorry if it wrong this a unusal term for operation

answer for 5 stars pls I need it quick​

Answers

Answer:The answer is 1/x^12y

Step-by-step explanation:

Other Questions
A crate is pulled with a force of 165 N at an angle 30 northwest. What is the resultant horizontal force on the crate?Help asap how is dissolving different from melting What two integers gives a product of -10? A rotation maps point A(5, 4) to A(4, 5).Which describes the rotation?180 clockwise rotation180 counterclockwise rotation90 counterclockwise rotation90 clockwise rotation The form of condensation which take place in the lower layers of atmospher PLEASE HELPPPPPP!! 25 POINTS!!Arnold ran the 100-meter dash in 24 seconds. Using the speed formula, calculate Arnolds average speed.Emma ran the 100 meter dash in 11 seconds. Using the speed formula, calculate Emmas average speed.Who was the fastest runner?What was the winner's average speed?Select the 2 best answers. a. Arnold b. Emma c. The winner's average speed was 4.2 m/s d. The winner's average speed was 9.1 m/s e. The winner's average speed was 0.11 m/s f. The winner's average speed was 100 m/s A conjecture and the two-column proof used to prove the conjecture are shown.Please help 46 points Please help anybody. I dont get this Read the excerpt from Narrative of the Life of Frederick Douglass.I had resided but a short time in Baltimore before I observed a marked difference, in the treatment of slaves, from that which I had witnessed in the country. A city slave is almost a freeman, compared with a slave on the plantation. He is much better fed and clothed, and enjoys privileges altogether unknown to the slave on the plantation. There is a vestige of decency, a sense of shame, that does much to curb and check those outbreaks of atrocious cruelty so commonly enacted upon the plantation.In this paragraph, what connotation does shame have?feeling proudknowing right and wronghaving regretfeeling humiliation What emotional response does the song born this way evoke please help me ill do anything Anyone know how to do this? what happens when you add metal to carbonate A particular plant root grows 3.5 inches per month. How many centimeters is the plant root growing per month? (1 inch = 2.54 centimeters). (10 points) a0.73 centimeters b1.38 centimeters c6.04 centimeters d8.89 centimeters A=1/2(b1+b2) solve for b1 Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary. At her first tennis lesson, Latoya swung hard at an incoming serve, the racket slipped out of her sweaty hand and bounced off Coach Licata's head. Expand the logarithm fully using the properties of logs. Express the final answer interms of log .log 6x^4 Which lines from Brighton Beach Memoirs help the audience understand the historical setting?A.Listen, I hope you don't repeat this to anybody... What I'm telling you are my secret memoirs. It's called, "The Unbelievable, Fantastic and Completely Private Thoughts of I, Eugene Morris Jerome..."B."Attention, ladeees and gentlemen! Today's game will be delayed because of my Aunt Blanche's headache..."C.Was I fresh? I swear ... that's what she said to me yesterday... One day I'm going to put all this in a book or a play.D. I'm going to be a writer like Ring Lardner or somebody -- that's if things don't work out first with the Yankees, or the Cubs, or the Red Sox, or maybe possibly the Tigers... If I get down to the St. Louis Browns, then I'll definitely be a writer. How is a molecule like glucose related to an organism? Which of the following objects would require the use of a large-scale model A. An atom B. A car engine C. A frog's heart D. The Mississippi River