what is the solution to the equation below?
-3 + sqrt 2x - 1 =8​

What Is The Solution To The Equation Below? -3 + Sqrt 2x - 1 =8

Answers

Answer 1

Answer:

[tex]x=61[/tex]

Step-by-step explanation:

[tex]-3+\sqrt{2x-1} =8[/tex]

[tex]\sqrt{2x-1} -3=8[/tex]

Add 3 to both sides of the equation:

[tex]\sqrt{2x-1}-3+3=8+3[/tex]

[tex]\sqrt{2x-1}=11[/tex]

Solve the square root:

[tex]\sqrt{2x-1}=11[/tex]

[tex]2x-1=11^{2}[/tex]

[tex]2x-1=121[/tex]

[tex]2x-1+1=121+1[/tex] {add 1 to both sides}

[tex]2x=122[/tex]

[tex]x=122/2[/tex]

[tex]x=61[/tex]

hope this helps.......


Related Questions

Which of the following statements describes the process for solving 4x ≥ -24?

A. Divide both sides of the inequality by 4 and flip the symbol.
B. Divide both sides of the inequality by -24 but don't flip the symbol.
C. Divide both sides of the inequality by 4 but don't flip the symbol.
D. Divide both sides of the inequality by -24 and flip the symbol.

Answers

Answer:

C. Divide both sides of the inequality by 4 but don't flip the symbol.

Step-by-step explanation:

When you solve an inequality, you have to get the x by itself. So, in this inequality, the first thing you would do is divide both sides of the inequality by 4. The new and solved equation would look like this:

x ≥ -6

Because multiplying by a negative, dividing by a negative, or having negatives on both sides of the inequality was not involved in solving for x, flipping the symbol is not needed.

I really hope this helps! Have an amazing day :3

A 3050 foot long road travels directly up a 550 foot tall hill. Select the equation that can be used to solve for the angle of elevation (0) from the bottom of the hill.

Answers

Answer:

d is the answer sin =3000/3050

PLZ HELP ASAP DUE IN 10 MINS I WILL MARK BRAINLIEST!!!!

Answers

Answer:

15/8

Step-by-step explanation:

Applying

tanθ = Opposite(O)/Adjacent(A)

tanθ = O/A............ Equation 1

From the diagram,

To get the opposite(O), we apply pythagoras theorem

a² = b²+c²

Where c = opposite

17² = 8²+c²

289 = 64+c²

c² = 289-64

c² = 225

c = √225

c = 15

Substitute into equation 1

Therefore,

tanθ = 15/8

Hence the exact value of tanθ is 15/8

If f(x)=2(x)2 +5w/(x+2)
(2) =
F(2)=

Answers

Answer:

16+5w/4

Step-by-step explanation:

Not drawn
accurately
18.2 cm
7 cm
16.8 cm
Is the triangle a right-angled triangle?
You must show your working.​

Answers

Answer:

Yes, It is a Right Triangle.

Step-by-step explanation:

The hypotenuse is the longest side of the triangle, so for this problem we set the hypotenuse's value to 18.2

From there it doesn't matter which side is which, as both will undergo the same operations.

If the following equation is true, then it is a right triangle.

7²+16.8²= 18.2²

49 + 282.24 = 331.24

The equation is True.

It is a right-angled Triangle.

Matilda and Lorraine work in the mail room of a large company sorting letters. Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour. Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour.

Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours? How many letters will they have sorted after 6 hours?

A.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 100x + 120. Thus, they will have sorted 720 letters in 6 hours.
B.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.
C.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 130x + 90. Thus, they will have sorted 870 letters in 6 hours.
D.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 30. Thus, they will have sorted 570 letters in 6 hours.

Answers

Answer:

B

Step-by-step explanation:

40x + 80

50x + 50

add them together

Name the marked angle in 2 different ways.

Answers

Answer:

∠XWV ∠UWV

Hope this helps! :)

Question 4 Multiple Choice Worth 1 points)
(01.02 MC)
Solve for :
2 x -
(x - 2) = 4x

Answers

Answer:

[tex]\small \sf \frac{2}{3} = x \\ [/tex]

Step-by-step explanation:

Solve for x;

2x - ( x - 2 ) = 4x

distribute minus sign through parantheses

2x - x + 2 = 4x

combine like terms

x + 2 = 4x

subtract x from both side

x - x + 2 = 4x - x2 = 3 x

Divide each side by 3

[tex] \small \sf \frac{2}{3} = \frac{3x}{3} \\ [/tex]

[tex]\small \sf \frac{2}{3} = x\: \\ [/tex]

Find the unknown length in the picture below please help

Answers

Answer:

x = 12.65

Step-by-step explanation:

The angle between radius and tangent is 90°

Given diameter is 6, so radius = 3.

Then we use Pythagoras theorem

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve each equation. Leave the answer as an improper fraction.

16x2 = 49





NEXT QUESTION ASK FOR HELPTURN IT IN
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Answers

Answer:

Given  : isosceles right triangle  hypotenuse = 8 cm  

To find : leg of  isosceles right triangle

Solution

isosceles right triangle

Hence Perpendicular = base  

Both legs are of Equal length

Applying Pythagoras theorem

Perpendicular² + base² = Hypotenuse²

Hypotenuse = 8 cm given

=> Perpendicular² + base² = 8²

Perpendicular = base   = x

=> x² + x² = 64

=> 2x² = 64

=> x² = 32

=> x  = 4√2

legs of  isosceles right triangle whose hypotenuse is  8 cm  

are 4√2  cm

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

PR and SU are parallel lines.


Which angles are alternate interior angles?

Answers

Answer:

Alternate interior angles are on opposite sides of the transversal, and between the parallel lines

Step-by-step explanation:

Simplify 3a²b³x 4a³b

Answers

The answer will be: 12a^5b^4
The answer is 12a5b4

How do you find the equation of a line of a triangle when given the area and one set of coordinates?

Answers

The straight line through two points will have an equation in the form y = m x + c . We can find the value of , the gradient of the line, by forming a right-angled triangle using the coordinates of the two points.

The volume of water remaining in a tank after 10 of its original volume (x) is drained out

Answers

Answer:

x - 10

Step-by-step explanation:

The original volume is x, and 10 is removed.

In mathematical terms, this is expressed as x - 10.

If pi is rounded to a whole number, what is a reasonable estimate for the circumference of a circle with a diameter of 18 cm?

57 cm
50 cm
54 cm
56 cm

Answers

Answer:

54 cm

Step-by-step explanation:

Hi there!

1) Round pi

π = 3.14159265...

Rounded to a whole number ⇒ 3

2) Determine the circumference

C = πd where d is the diameter

Plug in the diameter

C = 18π

Plug in π

C = 18(3)

C = 54

Therefore, a reasonable estimate for the circumference of this circle would be 54 cm.

I hope this helps!

What is the value of y?

16
50
130
164

Answers

Answer:

where is the figure

Step-by-step explanation:

u should upload the figure too

Answer:

C. 130

Step-by-step explanation: Hope it helps ^w^

please give the answer if your answer will be correct I promise that will mark as brainliest​

Answers

Answer:

4 1/2 : 2 1/4

Divide both sides by 2 1/4

2 : 1

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

3 months : 1 year

1 year = 12 months

3 : 12

Divide both sides by 3

1 : 4

4÷1×2 it the answer and questions

The function A(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. A(b)=14xb+5/2 Which equation below represents the inverse function B(a), which takes the trapezoid's area as input and returns as output the length of the other base? A. B(a)+a/7+5 B. B(a)=a/5-7 C. B(a)=a/7-5 D. B(a)=a/5+7

Answers

Answer:

[tex]b(a) =\frac{a}{7} -5[/tex]

Step-by-step explanation:

Given

[tex]A(b) = 14 * \frac{b + 5}{2}[/tex]

Required

Determine the inverse function b(a)

Write A(b) as a

[tex]a = 14 * \frac{b + 5}{2}[/tex]

Swap a and b

[tex]b = 14 * \frac{a + 5}{2}[/tex]

[tex]b = 7(a + 5)[/tex]

Divide both sides by 7

[tex]a + 5 = \frac{b}{7}[/tex]

Maka a the subject

[tex]a =\frac{b}{7} -5[/tex]

Swap a and b again

[tex]b =\frac{a}{7} -5[/tex]

Hence:

[tex]b(a) =\frac{a}{7} -5[/tex]

A model with 1 shaded part and 3 unshaded parts. Write the unit fraction depicted in the model as a percent.

Answers

Answer:

shaded  =25 %

un shaded = 75 %

Step-by-step explanation:

Total parts = 4

shaded part = 1

un shaded parts = 3

percentage of shaded part

[tex]=\frac{1}{4}\times 100 % = 25 %[/tex]

= 25 %

Percentage of un shaded parts

[tex]= \frac {3}{4}\times 100 = 75 %[/tex]

= 75 %

please help, giving points and brainlest !!​

Answers

Answer:

(7,-8)

Step-by-step explanation:

it's a reflection off the x-axis correct me if im wrong i can barely see

Answer:

(7,-8)

Step-by-step explanation:

Point A is at (7,8).

the x-axis is the horizontal line.

Point A is 8 units up of the x-axis so the reflection would be down 8 units from the x-axis in the same line.

Hope this helps.

Which compound inequality is represented by the graph?

Answers

Answer:

The answer would be [tex]x < -2[/tex] OR [tex]x \ge 4[/tex].

Step-by-step explanation:

Do pay attention to the hollow circle from which [tex]x < -2[/tex] is found; that means the value of x does not include -2, and therefore the < sign is used.

Hope this helped!

hmmmmmmmm

hope it helps

There are five peanut brittle to every two chocolate if there is a box of 28 sweets how many cholocate are there

Answers

Answer:

8 chocolates

Step-by-step explanation:

im not really good at math and didnt use an equation but if you add 5 and 2 together until 28 and then count up how many 2's you added, you should get the answer! sorry if this isnt helpful <3

Which 3 expressions are equivalent to the
expression : 3x-12-2(x+12)

Answers

Answer:

second option , third option and last option

Step-by-step explanation:

3x - 12 - 2(x + 12)

=3x - 12 -2x - 24

=x - 36

I believe the 2 or 3 one

What is the missing value in the last step? 3 6 9 18

Answers

the awnser is D on edge 2020

Answer:

D

Step-by-step explanation:

edge 2021

Select the two values of x that are roots of this equation. 3x - 5 = -2x2

Answers

Answer:

C and A are the answer

Step-by-step explanation:

step by step

Help for brainliest
Find h.
9 ft
h = [?] ft

Answers

Answer:

[tex]\sqrt{77}[/tex] ft

Step-by-step explanation:

Hi there!

Notice how we can create a right triangle in the cone, where the base is 2 ft (4/2=2), the height is h and the hypotenuse is 9 ft.

Using these values, we can solve for h with the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the two legs of a right triangle and c is the hypotenuse.

Plug in 2 and h as a and b and 9 as c:

[tex]2^2+h^2=9^2\\4+h^2=81\\h^2=81-4\\h^2=77\\h=\sqrt{77}[/tex]

I hope this helps!

Express 5m2 in cm2 please answer fast!

Answers

Answer:

500000 cm2

Step-by-step explanation:

A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounces of fruit punch. Part A: Grape a line on the coordinates plane to represent this relationship

Part B: Create an equation to represent this relationship. Let x represent ounces of pineapple juice. Let y represent ounces of fruit punch.

Answers

Answer:

(a) See attachment

[tex](b)\ y =2.5x[/tex]

Step-by-step explanation:

Given

[tex]x \to pineapple[/tex]

[tex]y \to fruit[/tex]

[tex]x : y =2 : 5[/tex]

Solving (a): The graph

First, we create an equation from [tex]x : y =2 : 5[/tex]

Express as fraction

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

Cross multiply

[tex]2y = 5x[/tex]

See attachment for graph

Solving (b): An expression that represents the relationship

In (a), we have:

[tex]2y = 5x[/tex]

Divide by 2

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

[tex]y =2.5x[/tex]

PLEASE HELP!!
(help me find the type of statement)

Answers

The proof of the given statement below.

What is Congruency?

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.

In ΔDEA and ΔCEA

<DEA= <CEA    [Vertically opposite angle]

<ADE= <ACE    [given]

AD= CA    [given]

Thus, by ASA criteria ΔDEA is congruent to ΔCEA.

Hence, AE = BE [ CPCT]

Learn more about this concept there:

https://brainly.com/question/20521780

#SPJ1

Which is a solution to the equation |10-5y|=20

Answers

the solution is y=-2,6
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