Solving Square root and other radical equations

Answers

Answer 1

Answer: How to answer radical questions and such:

The most basic is to isolate one of the square roots, square both sides, and this will usually yield less square roots than when you started with. Keep repeating until you have no more square roots. This works pretty well in most cases, there are sometimes some tricks, arising from the particular problems themselves ways, which allow you to solve the equations much faster

Answer 2

The solving methods for Square root and radical equations are given below.

What is a radical equation?

An equation wherein a variable is withinside the radicand of a thorough expression is referred to as a thorough equation. As usual, whilst fixing those equations, what we do to at least one aspect of an equation we ought to do to the alternative aspect as well. Once we isolate the radical, our approach could be to elevate each facet of the equation to the strength of the index. This will remove the radical.

To asked how to solve Square root and the radical equation

For Square root:

There are many methods for solving a square root such as

Repeated Subtraction Method of Square RootSquare Root by Prime Factorization MethodSquare Root by Estimation MethodSquare Root by Long Division Method

Here we will learn solving Square root using the Long method

Long division method

Separate your square root base into pairs. Find the largest square that divides into the first number or pair. Subtract the square from the first number or pair. Drop down the next pair.Multiply the first digit of the square by twoSet up the next factor equation.

For radical equation:

There are many types of radical equations such as

Equation with one radicalEquation with two radicalsEquation with three radicals

And so on,

the best way to solve radical equations is:

Isolate one of the radical terms on one side of the equation.Raise both sides of the equation to the power of the index.Are there any more radicals?If yes, repeat Step 1 and Step 2 again.If no, solve the new equation.Check the answer in the original equation.

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Related Questions

Determine whether the following is a statistical question.
How many teeth does Edna have in her mouth?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Statistical

(Choice B)
B
Not statistical

Answers

Answer:

Not statistical

Step-by-step explanation:

This isn't a statistical question because if you try to find out how many teeth are in other people's mouths you still won't know how many are in Edna's mouth because everyone is different. Hope this helps! :)

how many perfect squares are divisors of 10

Answers

Answer:

0

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

We can stop here because the from here on forward they are bigger than 10 itself.

At the ski shack customers can rent skis snowboards boots and poles by the day. Ava is renting a snowboard. Lucia has her own skies but needs to rent boots

Answers

Answer:52s+30b

Step-by-step explanation:

trust me I took the quiz

3) Sue bought a triangular shaped piece of wood
with a height is 6 inches and a base of 2 inches.
She plans to cover the front with a piece of
fabric, how much fabric will she need?

Answers

Answer:

12 inches of fabric

Step-by-step explanation:

Area of a triangle = hight x base

so 6 x 2 = 12

12 inches of fabric is your answer

Hope this helps :)

If she plans to cover the front with a piece of fabric. Then the amount of fabric that she needs will be 6 square inches.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Sue bought a triangular-shaped piece of wood with a height is 6 inches and a base of 2 inches.

She plans to cover the front with a piece of fabric.

Then the amount of fabric that she needs will be

The amount of fabric is given by the area of the triangle.

The area of the triangle will be

Area = 1/2 x 2 x 6

Area = 6 square inches

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a) Change 9 out of 50 to a percentage.​

Answers

Hey there! Your question’s answer would be 18%..

Ok so 9/50 would be 9% out of 50% which is also 100%. If you want to find 50% turn to 100%, multiply 50 with 2 to get 100.

So you do the same thing to 9%. 9 times 2 would be 18%.

Final Result: 9% out of 100% (whole)

9 out of 50 in percentage equivalent terms will be 18% .

Given, 9 out of 50 to a percentage .

Convert fractions to percentage.

Multiply fraction by 100 , the result will be in percentage .

Fraction = [tex]\frac{9}{50}[/tex]

Percentage equivalent

[tex]\frac{9}{50} \times 100\\= 18[/tex]

Thus the percentage equivalent is 18% .

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find the domain of the function y=-e^x-3​

Answers

9514 1404 393

Answer:

  all real numbers

Step-by-step explanation:

The domain of any exponential function is "all real numbers."

  -∞ < x < ∞

Question 10 of 10 Which choices are equivalent to the quotient below? Check all that apply. 16 A. 2 B. 2 millel C. VE D. 2 O E. సుత మన నదు OF.​

Answers

Answer:

B

Step-by-step explanation:

4/8 is closest to which benchmark fraction

Answers

Answer:

It is closest to 1/2

Step-by-step explanation:

First you need to see if the fraction can be simplified or not. Thankfully this can, and we get 1/2.

Can whoever answers this answer one of the questions on my account I have like 20 minutes to answer them.

Answers

Answer:

What-

Step-by-step explanation:

Answer: What?

Step-by-step explanation:

In the figure below, AB is a diameter of circle P.
What is the arc measure of major arc ABC in degrees?

Answers

Answer: 249

Step-by-step explanation: Khan Academy

Answer:

111

Step-by-step explanation:

GOT IT RIGHT!

A children's ride at an amusement park has a rule that a person must be shorter than 4 feet tall to ride it.
Create an inequality that shows the height 3, in feet, a person must be to go on this ride.

Answers

Answer:

Step-by-step explanation:

Select the two values of x that are roots of this equation 3x^2 + 1 =5x ??
PLZZ HELP

Answers

Answer:

x = .23

x = 1.43

Step-by-step explanation:

1. The root of a polynomial is when the y-value equals 0. So set the equation euqal to 0:

[tex]3x^{2} -5x+1=0[/tex]

2. Solve with the quadratic formula and you get:

[tex]\frac{5+\sqrt{13} }{6}[/tex] and [tex]\frac{5-\sqrt{13} }{6}[/tex] which is x = .23 and x = 1.43.

 

Answer:

here is my answer

Step-by-step explanation:

Theo wants to pick out an outfit for the school dance he can choose from four pairs of pants 5 shirts and 2 pairs of shoes how many different outfits does Theo have to chose from

Answers

Answer:

40

Step-by-step explanation:

Pair of pants = 4

Number of shirts = 5

Pair of shoes = 2

Number of different outfits possible :

Pair of pants * number of shirts * pair of shoes

4 * 5 * 2

20 * 2

= 40

Franklin lives in a state that charges property tax on vehicles. He has a SUV worth $1, and the yearly property tax is $12.38 for every $1, of value. How much will he pay in yearly property tax?

Answers

Answer: $12.38

Step-by-step explanation:

Property taxes are charged on vehicles and Franklin has an SUV. He will therefore be charged property taxes on the SUV.

The SUV is valued at $1.

The yearly property tax is $12.38 per $1.

Franklin's property tax will therefore be $12.38 because the SUV is worth $1.

Can some one answer quickly please

Answers

Answer:

the answer is A -1/3 x

Step-by-step explanation:

hope this helps :)

plz i need help!
Evaluate the expression when x = 9.2 and y = 3.4.

5xy

Answers

Answer:

The answer is 156.4

Step-by-step explanation:

5(9.2)(3.4)

156.4

Coach Thomas brings his baseball team to get ice cream after each Friday night game. Last week, he purchased 9 cones and 8 cups of ice cream and payed $53.50. This week he purchased 6 cones and 11 cups of ice cream and paid $51.25. Write and solve a system of linear equations to determine the cost of each cone and each cup.
Cups:
Cones:

Answers

Answer:

(3.5, 2.75)

source: trust me bro

Deborah spent $70 on food and clothes. She spent $26 more on clothes than on food. On your worksheet, solve the question and write your answer below. How much did she spend on food and how much did she spend on clothes?

Answers

Answer:

the spent on food would be $23

And for clothes it would be = $23 + $24 = $47

Step-by-step explanation:

Let us assume the food be x

So for clothes it would be  x + $24

And, the total spent on food and clothes is $70

So the equation is

x + x + $24 - $70

2x = $70 - $24

2x = $46

x = $23

So, the spent on food would be $23

And for clothes it would be = $23 + $24 = $47

Which of the following is a true statement based on the graph shown?



R < Q
P > Q
R > S
R ≥ Q

Answers

Answer:

r >= Q

Step-by-step explanation:

THE LAST ONE

Answer:

r-q

Step-by-step explanation:

Diamond is playing a game. In the game she has to spin a spinner
that is divided into 4 equal sections of green, red, blue, and yellow.
What is the probability that on her first spin she will land on green
and then red on her second spin?

Answers

Answer:  1/16

In decimal form, this is equivalent to 0.0625

=====================================================

Explanation:

Each of the four sections are of equal area, so that means the probability of landing on any given color is 1/4.

The probability of landing on green first is 1/4, then followed by red is another 1/4. We multiply these fractions. This is valid because each event of spinning the spinner is independent of one another. None of the spins affect any others.

We then get (1/4)*(1/4) = (1*1)/(4*4) = 1/16

The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required event / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Assuming that each section of the spinner has an equal chance of being landed on, the probability of landing on the green on the first spin is 1/4.

Since each spin is independent of the others, the probability of landing on red on the second spin is also 1/4.

To find the probability of both events happening, we multiply the probabilities of each event:

P(green and red) = P(green) × P(red) = 1/4 × 1/4 = 1/16

Therefore,

The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.

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Solve: StartAbsoluteValue StartFraction x Over 6 EndFraction minus StartFraction 7 Over 12 EndFraction EndAbsoluteValue equals StartFraction 11 Over 6 EndFraction. =

Negative Direction:

– 3 lines of math labeled Positive Direction. The first line is: StartFraction x Over 6 EndFraction minus StartFraction 7 Over 12 EndFraction equals negative StartFraction 11 Over 6 EndFraction. The second line is: StartFraction x Over 6 EndFraction equals StartFraction 29 Over 12 EndFraction = –

= –2 lines of math labeled Negative Direction. The first line is: StartFraction x Over 6 EndFraction minus StartFraction 7 Over 12 EndFraction equals negative StartFraction 11 Over 6 EndFraction. The second line is: StartFraction x Over 6 EndFraction equals negative StartFraction 15 Over 12 EndFraction

Positive Direction:

– =

=



Determine the values for x by completing the steps shown.

x = x equals StartFraction 29 Over 2 EndFraction or x equals negative StartFraction 15 Over 2 EndFraction or x = –
x = –x equals negative StartFraction 29 Over 2 EndFraction or x equals StartFraction 15 Over 2 EndFraction or x =
x = –x equals negative StartFraction 29 Over 2 EndFraction or x equals negative StartFraction 15 Over 2 EndFraction or x = –
x = x equals StartFraction 29 Over 2 EndFraction or x equals StartFraction 15 Over 2 EndFraction or x =

Answers

The question is unintelligible as formatted.

|x/6 - 7/12| = 11/6
|2x/12 - 7/12| = 22/12
|2x - 7| = 22

If 2x-7 ≥ 0 then 2x-7=22, x = 29/2

If 2x-7 < 0 then 7-2x = 22, x = -15/2

Answer:

x = 29/2 or x = -15/2

Step-by-step explanation:

Solve for the variable: 6/25 = d/30

Answers

Answer:

d = 7.2

Step-by-step explanation:

We can cross multiply the equation to get:

6 * 30 = 25 * d

(* is multiplication sign by the way)

180 = 25d

Divide both sides by 25 to get:

d = 7.2

A tram has an initial velocity of 300m/minute ◦ It travels a distance of 0.5km in 20 seconds
◦ What is the acceleration of the tram in m/s2?
If you could please help me, it would be greatly appreciated?

Answers

Answer:

Step-by-step explanation:

[tex]d=vt-\frac{at^2}{2} \\ \\ a=\frac{2(d-vt)}{t^2} \\ \\ a=\frac{2(500-300(20)}{20^2} \\ \\ a=-27.5 \frac{m}{s^2}[/tex]

The acceleration of the tram is 1 m/s^2.

To find the acceleration of the tram, we can use the following equation:

acceleration (a) = (change in velocity) / (time taken)

First, let's convert the initial velocity to m/s:

Initial velocity = 300 m/minute

To convert to m/s, we need to divide by 60 (since there are 60 seconds in a minute):

Initial velocity = 300 m/minute ÷ 60 seconds/minute = 5 m/s

Now, let's find the final velocity. The tram travels a distance of 0.5 km in 20 seconds.

Distance traveled = 0.5 km = 500 m (since 1 km = 1000 m)

Time taken = 20 seconds

Now, we can find the final velocity (v) using the formula:

v = (change in distance) / (time taken)

v = 500 m / 20 seconds = 25 m/s

Next, we can find the change in velocity:

change in velocity = final velocity - initial velocity

change in velocity = 25 m/s - 5 m/s = 20 m/s

Finally, we can calculate the acceleration:

acceleration (a) = (change in velocity) / (time taken)

acceleration (a) = 20 m/s / 20 seconds = 1 m/s^2

So, the acceleration of the tram is 1 m/s^2.

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Jacob is building a rectangular prism for a class project. He needs
to cover the entire prism in aluminum foil. The length of the prism
is 8 centimeters, the width is 6.5 centimeters, and the height is 3
centimeters. How much aluminum foil will Jacob need for his
project?

Answers

Answer:

156 centimeters

Step-by-step explanation:

its very simple

8*6.5*3=156

Surface area of a rectangular prism is the sum area of the six sides.

A=2(xy+xz+yz)

A=2(8(6.5)+8(3)+6.5(3))

A=2(52+24+19.5)

A=2(95.5)

A=191 cm^2

given 7x + 2 is greater or lesser than 58 which number is not in the solution set.

(1).6

(2).8

(3).10

(4).12​

Answers

6 is the answer cause the potential answers are 8,10,12 but 6 is not in the solution set

cuánto es 2995 más 3495​

Answers

Answer:

6490

Step-by-step explanation:

Answer:

6490

Step-by-step explanation:

8 = 6 + a/4 a=___ help

Answers

Answer:

a=8

Step-by-step explanation:

6+a/4 = 8a/4=8-6a=4×2a=8

PLS HELP DUE TODAY I GIVE BRAINLIEST

Answers

Step-by-step explanation:

1.) 5+x=20

20-5=x

15=x

2. 5×x=20

20÷5=4

x=4

3.)5÷20=x

0.25=x

hope this helps

Graph y=4x-9
If you add explanation will give branliest

Answers

y = 4x-9

Answer : Slope = 4 because y = mx+b

Y- intercept = 9

Any line can be graphed using two points values, and plug them into the equation to find the corresponding values.

HOPE THIS HELPS!

Which graph below does not represent a
function of x?
5
5
4
A.
12345
C. 12345
B.

Answers

Answer:

I don’t see any graphs. Try copying android pasting images.

Step-by-step explanation:

A x function should not have two y values for the same x value. Therefore, option C is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

In the graph C we can see for x value 1 there are two y-values 2 and 3.

For the x value 2 there are two y-values 2 and 3.

Because an x function should not have two y values for the same x value.

Therefore, option C is the correct answer.

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