what is the answer to this radical equation
[tex]\sqrt{x + 13=7}[/tex]

Answers

Answer 1

Answer:

x = 36

Step-by-step explanation:

Given

[tex]\sqrt{x+13}[/tex] = 7 ( square both sides )

([tex]\sqrt{x+13}[/tex] )² = 7²

x + 13 = 49 ( subtract 13 from both sides )

x = 36

Answer 2

[tex]\sqrt{x+13}=7\\[/tex]

To solve the radical equation, completing the square all whole equation.

[tex](\sqrt{x+13})^2=7^2\\[/tex]

As defined, [tex](\sqrt{x})^2 =|x|[/tex]

Therefore, [tex](\sqrt{x+13})^2=|x+13|=x+13[/tex]  (Although Absolute Function gives 2 conditions, however - domain of radical function must be greater than or equal to 0. Meaning x < 0 for another condition doesn't apply.)

[tex]x+13=49\\x=49-13[/tex]

Move 13 to subtract.

[tex]x=36[/tex]

Therefore, the answer is x = 36.


Related Questions

PLEASE HELP ME FASTTT!!

Answers

Negative 2 and positive 4

3x−6 = 9
please answer








i lost 1000 points and 10 brainliest because someone reported and got all my answers taken down. smh

Answers

the answer is 5 because you have to add 6+9=15 then divide 3x and 15 and that makes x=5

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3x - 6 = 9

Step 2: Solve for x

Add 6 to both sides:                    3x = 15Divide 3 on both sides:                x = 5

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(5) - 6 = 9Multiply:                               15 - 6 = 9Subtract:                              9 = 9

Here we see that 9 does indeed equal 9.

∴ x = 5 is the solution to the equation.

A triangle formed by the sides 3.8cm ,3.7 cm, and 5cm is​

Answers

It is a scalene triangle because none of the sides are the same!

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides.

The triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

How to find the type of triangle?

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides. Thus,

For a triangle to be right angle triangle,

           [tex]c^2=a^2+b^2[/tex]

       By this law it is observed that,

For a triangle to be acute angle triangle,

         [tex]c^2<(a^2+b^2)[/tex]

For a triangle to be obtuse angle triangle,        

        [tex]c^2>(a^2+b^2)[/tex]

The sides of the given triangle are  3.8 cm ,3.7 cm, and 5 cm.

Here the longest side is 5 cm. Thus check the type of triangle using above formula. Longest side,

[tex]c^2=5^2\\c^2=25[/tex]

Other two sides,

[tex]a^2+b^2=3.8^2+3.7^2\\a^2+b^2=14.44+13.69\\a^2+b^2=28.13[/tex]

Therefore,

[tex]25<28.13\\[/tex]

Hence the triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

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Can someone help me on this! plz help me and tell me how u got the answer.
and plz dont troll.....

Answers

Answer: The last choice, 2x + 3y = 10

Step-by-step explanation: This equation will have the same slope. The line will be parallel to the original side , just higher up on the grid.

Given hexagon LMNOPQ is congruent to hexagon L'M'N'O'P'Q'. What is the measure of OP?

6 in
7 in
45 in
51 in

Answers

Answer:

51in

Step-by-step explanation:

Just set the equations of line OP and line O'P' equal to one another, then solve for x.

ie: 3(2x+3)=(8x-5)

To solve for x, distribute first. Then, subtract 6x from each side. Then, add 5 to each side.

ie: 6x+9=8x-5

ie: 14=2x

Now divide by 2.

ie: 7=x

Now that you have your x value, plug it back into one of the equations and solve for the measure of line OP. To check you answer, plug 7 for x into the equation where they are set equal, then solve them both and if the end result is true (51=51) it is correct.

What is the value of x ?

Answers

Each angle of the triangle added together must be equal to 180, so 53+45=98. 180-98=82. So the top angle is 82, the value of x has to be equal to 180-82 which equals 98

On the first day after the new moon, 2% of the Moon's surface is illuminated. On the second day, 6% is illuminated. Based on this information, predict the day on which the Moon's surface is 50% illuminated and 100% illuminated.
illuminated.
PLEASE HELPPPPPPP!!!!!!!!!!!​

Answers

Answer:

Day 13= 50%

Day 26=100%

Step-by-step explanation:

Answers vary. Sample response: A simple approach is to attempt a linear model starting at Day 1. If the illumination is increased by 4% every day, then after 11 more days (after Day 2) it reaches 50%. In 13 more days, illumination reaches 100%. This gives a prediction of Day 13 for 50% and Day 26 for 100%.

The days where it is illuminated is Day 13= 50% and Day 26=100%

Linear model:

Here A simple approach should be considered for linear model that begins at Day 1. In the case when the illumination is increased by 4% every day, so after 11 more days (after Day 2) it reaches 50%. In 13 more days, illumination reaches 100%.

Therefore, we can conclude that The days where it is illuminated is Day 13= 50% and Day 26=100%

Learn more about surface here: https://brainly.com/question/3176584

What is the product of 7 (-3)

Answers

Answer:

-21

Step-by-step explanation:

7 x 3 =21

7 x -3= -21

hope this helps

Answer:

-21

Step-by-step explanation:

7 × (-3) = -21

A positive times a negative is always a negative.

Ariel wants to save a total of 50$ to buy a new jacket.She has saved 10$ so far which percentage represents the fraction of the total that Ariel saved so far

Answers

Answer:

20%

Step-by-step explanation:

please answer and fast ​

Answers

18- H
19-C

Explanation:

please help me so i dont fail

Answers

I think it would the last one G
It is the second one

Pls, it’s for a test , ;< . I Wanna actually Get a good grade. PLS HELP you will get 20 points


Solve y3 = 27.


A. y = 5.2
B. y = 9
C. y = 3
D. y = 3 y= 3

Answers

Answer: B. y=9
Explanation: divide both sides of the equation by three
y3/3 = y
27/3=9
y=9
hope this helps:)

Answer:

The answer is y=3

Lumpy leaves Miami at 12 noon traveling north at 55 mph. Stumpy leaves at 3 pm traveling north at 70 mph. In how many hours will Stumpy crash into Lumpy’s back?

Answers

Answer:

at 4

Step-by-step explanation:

What is the value of x in this figure?

Answers

Answer:

x = 65 degrees

Step-by-step explanation:

Sum of all three sides in a triangle is 180

48 + 67 + n = 180

180 - (48 + 67) = 65

The missing angle and angle X are vertical angles, so they are the same angle.

angle X = 65 degrees

1/2 más 1/3 es igual ​

Answers

solución:

1/2 más 1/2 es 5/6

Espero esto te ayudo.

¿Por favor avísenme si es correcto?

-77.4=9a
I need to solve for a. Can someone help me?

Answers

A= -8.6 Hope this helps!

Mr. Curry bought 12 notebooks for $36. How much did he pay for one notebook?

Answers

Answer:

$3 per notebook

Step-by-step explanation:

NEED HELP ASAP PLEASE!!!!!!!!!

Answers

Answer:

1) m=-7/5

2) m=-7/5

3) parallel

Step-by-step explanation:

the first part:

graph the points and then find the slope

m=-7/5

the second part:

slope= m in y=mx+b

m=-7/5

the last part:

they are parallel because they have the same slope

Answer:

slope of two points is m=-7/5

SLOPE OF THE EQUATION GIVEN -7/5

PARALELL

Step-by-step explanation:

Can someone please help me I really don’t understand this

Answers

Answer:

Umm sorry i thought i knew it But my answer was wrong. I'm sorry and i hope you found the answer:)

Step-by-step explanation:

a.55=30x+50y
b.45=30x+50y
c.substitution
d.

55 and 45

I tried ! Hoped this helped ! Mark brainly if I helped!
Have a nice day!!!!!!!!!!!!!!!!

what is surface area of this wedge (pic atrached)​

Answers

Answer:

360 ft

Step-by-step explanation:

6 x 5 x 4 x 3 = 360

b. 360 ft

The diameter of a cylinder is 48 meters. What is the radius?

Answers

24 is the answer your welcome

Cnidarians are another major group of invertebrates. Jellyfish, coral, hydra and anemone are examples of cnidarians. They have soft bodies and no heads. They have stinging tentacles that they use for defense and to capture prey. Cnidarians have radial symmetry. That means that their parts are arranged around a center. If you were to draw a line to cut them in half in any direction, the two sides will always match. Radial symmetry is often a characteristic of more simple animals than bilateral symmetry, where there is only one line you could draw to make two sides match. With bilateral symmetry, different body parts may have different functions. With radial symmetry, the entire body may perform all life functions.

Jellyfish do not have (what?)

a. heads.
b. tentacles.
c. symmetry.
d. soft bodies.

Answers

a. heads


A jellyfish has no ears or eyes or nose and no brain or heart. They do not even have a head as their body is almost totally made of water and is soft having no bones at all.

Jade has $22 to spend at the grocery store. He is going to buy bags of Takis that cost $4 each and one box of Oreos that costs $3.50. Write and solve an inequality that models this situation, and could be used to determine the maximum number of bags of takis, t, that Jade can buy.

Answers

Answer:

4 bags of takis

Step-by-step explanation:

take the $22 and subtract the $3.50 for the oreos, this leaves you with $18.50.

now, take the $18.50 and divide that by $4 (the amount takis cost) and you will find out how many bas he will he able to buy.

18.50/4 = 4.6 he will be able to buy only 4 bags and will have $2.50 left over

PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!

Part A: Solve the following equation: 8 + 2(x - 3) = 3x - 3 (2 points)

Part B: Solve the following absolute value equation: |2x + 6| = 8 (4 points)

Part C: Solve the following inequality: -5(x + 1) > 30 (2 points)

Part D: f(x) = 4x - 3. Find f(5) (2 points)

Answers

Hey I just want you know that I was going on a question about the next week of the following day and I am not going on vacation yet I will have a good day at work and I)7 be 88

Cna anyone help with this one for me? I’ll give 5 stars

Answers

Answer:

D

Step-by-step explanation:

The answer would be C 3d + 8 is less than or equal to 35.

The tank holds no more than 35, so there can be 35 fish in the tank so it can be equal to 35.

there is already 8 fish from the old aquarium and there are 3 new fish per day so the 3 gets the variable


Y-3 = -(x-2)
in slope intercept form. Please show work.

Answers

Answer:
Y=-x+5

Write in slope-intercept form,
y=mx+b

Who knows how to do this I TRULY NEED HELP

Answers

Answer:

Yes

Step-by-step explanation:

two of the different sides match

When I’m doubt C it out

PLZZ HELPP IM FAILLING THIS CLASS

Answers

Answer:

Hope this helps!!! :)

Step-by-step explanation:

#1: if there is buy 1 get 1 free, then buy 6 get 3 free. so 2.8 times 3 = $8.4

#2: 4 for $3. break it up to 1 for $0.75. now 0.75 times 6 = $4.5

#3: the second one. $4.5 < $8.4

#4: 45 times 12 = $54

What is the value of this function evaluated at f(-3): f(x) = 2x2+ 5x - 9? F -6 G -42 H 42 J 12

Answers

Answer:

f(-3) = -6

Step-by-step explanation:

f(x) = 2x^2+ 5x - 9

We are to find f(-3)

f(-3) = 2(-3)^2+ 5(-3) - 9

f(-3) = 2(9)-15 - 9

f(-3) = 18 -15 -9

f(-3) = 18-24

f(-3) = -6

what is a -210 Divided by 14

Answers

Answer:

-15

Step-by-step explanation:

Well you cleary just divide the numbers But if you dont belive it use a caculator for this

-210 divided by 14 equals -15.

To divide -210 by 14, we set up the division equation: -210 ÷ 14.

Since we have a negative dividend, we know the quotient will also be negative.

We divide the absolute values of the numbers: 210 divided by 14, which equals 15.

Since the dividend and divisor have different signs, the quotient is negative.

Therefore, -210 divided by 14 equals -15.

This means that -210 can be evenly divided into 14 groups, each having a value of -15.

The negative sign indicates that the result is in the opposite direction or orientation compared to the positive value.

Learn more about division here

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