Find the length of side x in simplest radical form with a rational denominator. URGENT HELP 50 PTS

Answers

Answer 1

Answer: x = 2√3.

Step-by-step explanation:

[tex]x^{2} +6^{2} =(2x)^{2}\\\\x^{2} +36=4x^{2} \\\\4x^{2}-x^{2} -36=0\\\\3x^{2} -36=0\\\\3(x^{2} -12)=0\\\\x^{2} -12=0\\\\x^{2} =12\\\\x=\sqrt{12} =2\sqrt{3}[/tex]

Related Questions

The first one is done and the options for number four are:
w(2w+12)=160
2w^2+12w-260=0
2w^2+12w=260
w^2+6w-130=0

Answers

Answer:

Step-by-step explanation:

Part A

w² + 6w + c = 130 + c

w² + 2(3w) + c = 130 + c

To make left side of the equation a perfect square we will replace c by (3)².

w² + 2(3w) + 3² = 130 + c

[By formula → a² + 2ab + b² = (a + b)²]

w² + 2(3w) + 9 = 130 + 9

Therefore, c = 9 will be the answer.

Part B

From part A,

(w + 3)² = 139

Option (2) and Option (6) are the correct options.

Part C

w + 3 = √139

w = 11.79 - 3

w = 8.79

w ≈ 8.8 inches

HELP ME PLZZZZZZZZZZZZZZZZZ

Answers

Answer:

254.3

Step-by-step explanation:

The formula for the area of a circle is A = pi(r^2).

Shown in the picture is the diameter of the circle. To find the radius, or R, simply divide 18 by 2. The definition for a radius is basically half of the diameter.

Now...

3.14(9^2) = 254.34

Round to the nearest tenth: 254.3

The point slope form of the equaton of the line that passes through (-9, -2) and (1, 3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line?

Answers

Answer: y=1/2x+5/2

Step-by-step explanation:

y-3=1/2 (x-1)

y-3(-3)=1/2x-1/2(+3)

y=1/2x-1/2+6/2

y=1/2x+5/2

hope this helped!!

CAN SOMEONE HELP ME WITH THIS!!

Answers

Answer:

Number of dogs = 6

Number of burgers = 11

Step-by-step explanation:

Number of dogs = x

Number of burgers = 2x - 1

Cost of a dog = $ 1.50

Cost of 'x' dogs = 1.5x

Cost of a burger = $ 2

Cost of (2x - 1) burger = (2x -1) * 2 = 2x *2 - 1*2

= 4x - 2

Total amount collected = $ 31

1.5x + 4x - 2 = 31 {add 2 to both sides}

1.5x + 4x = 31 + 2

1.5x+ 4x = 33

5.5x = 33

x = 33/5.5

x = 6

Number of dogs = 6

Number of burgers = 2*6 - 1 = 12 - 1 = 11

If a circle is divided into 30 equal parts, what will be the measure of the angle of each part???

Answers

Answer:

12 degrees

Step-by-step explanation:

Total angle in a circle = 360 degrees

If a circle is divided into 30 equal parts

measure of each part = Total angle in a circle/Total parts

measure of each part = 360/30

measure of each part = 12 degrees

Hence the measure of each part is 12 degrees

I need help on this question

Answers

Answer:

Step-by-step explanation:

h(-4)= -13

h(-2)=8

-13+3(8)=11

if x+3/3=y+2/2 then x/3 =

Answers

(x+3)/3=(y+2)2
X/3+1 = (Y +2)/2
x/3=(y+2)/2-1
=(y+2-2)/2
=y/2

Answer:

x/3=y/2

Step-by-step explanation:

Multiply both sides of the equation by the Common Denominator 6

2x + 6 = 3y + 6

2x = 3 y

x/3 = y/2

add or subtract to simplify IHML

Answers

I added it so:

6x^2+8x

Answer:

A) 6x^2 + 8x

Step-by-step explanation:

2x^2 + 4x^2 = 6x^2

7x + x = 8x

6x^2 + 8x

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

PLEASE HELP ME ANSWER THIS PLEASE PLEASE PLEASE

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The turning point is the vertex of the graph

The coordinates are (2, - 4 )

(b)

The zeros are the values of x where the graph crosses the x- axis

The graph crosses the x- axis at

x = - 1, x = 5 ← zeros

(- 1, 0 ), (5, 0 ) in coordinate form

In the circle below, Ab and CD are chords intersecting at E if AE=5, BE,12, and CE=6, what is the length of DE

Answers

Answer:

DE = 10

Step-by-step explanation:

Here, we want to find the value of DE

we use the intersecting chord principle

That will be;

CE * ED = AE * BE

we have;

6 * DE = 5 * 12

DE = (5 * 12)/6

DE = 5 * 2

DE = 10

In 2.5 seconds, a projectile goes from 50 m/s to 800 m/s, heading southwest. What is the acceleration of the projectile?

Answers

Answer:

i dont know

Step-by-step explanation:

i dont know

In the triangle below, what is the cosine of 60°?

Answers

D.

Hope this helped;).

B
Find the measure of 21.
21
42°
86

Answers

Try 52?
180-42-86=52
Corresponding angles

Andre says that 5 + 2 and 2 + 5 are equivalent.
Do you agree with Andre? Explain your reasoning.

Answers

Answer:

I agree because both equations have the same solution.

Answer:

yes

Step-by-step explanation:

because 5 + 2 is 7 2+5 is also 7

What does 4.57x0.08

Answers

Answer:

0.3656 :)

Step-by-step explanation:

Answer:

0.3656

Step-by-step explanation:

You do 4.57 X 0.08 and get 0.3656

4b+5=1+5b
Anyone know it ??

Answers

Answer:

b = 4

Step-by-step explanation:

4b+5=1+5b

1️⃣Rearrange terms

4b+5=1+5b

4b+5=5b+1

2️⃣Subtract 5 from both sides of the equation

4b+5=5b+1

4b+5-5=5b+1-5

3️⃣Simplify

4b=5b-4

4️⃣Subtract 5b from both sides of the equation

4b=5b-4

4b-5b=5b-4-5b

5️⃣Simplify

-b=-4

6️⃣Divide both sides of the equation by the same term

-b=-4 subtract -1

7️⃣Simplify

b=4

Answer: b=4

Done ✔

Answer - b=4

Hope this help .

CAN ANYONE HELP ME WITH THIS

Answers

Answer:

Considers each unit is equal to one my answers are bellow.

Step-by-step explanation:

D: -4,3

E: 2, 0

F: -2 ,-7

G: -6 , -5

Correct me if I'm wrong

If Alfie tosses the paper cup more times, what is the expected number of times that the cup will land on its side?

Answers

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

Right side up = 60 Upside down = 53 Side = 37

If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

[tex]Right = 60[/tex]

[tex]Upside\ down = 53[/tex]

[tex]Side = 37[/tex]

Required

First, we calculate the probability of landing on side

[tex]P(Side) = \frac{n(Side)}{Total}[/tex]

[tex]P(Side) = \frac{37}{150}[/tex]

[tex]P(Side) = 0.247[/tex]

Next, we calculate the expected value; E(x) using:

[tex]E(x) = n * P(x)[/tex]

When tossed 100 more times:

n = 100 and P(x) = P(Side) = 0.247

So:

[tex]E(x) = 100 * 0.247[/tex]

[tex]E(x) = 24.7[/tex]

[tex]E(x) = 25[/tex] --- approximated

Hence, it is expected that it will land on its side 25 times

3 to the power of 15 is how many times larger than 3 to the power of 12

Answers

Answer:

Step-by-step explanation:

[tex] \dfrac{3^{15}}{3^{12}} = 3^{15-12} = 3^3 = 27 [/tex]

Answer: It is 27 times larger.

Answer:

3 to the 15 power is 14,348,907. 3 to the 12 power is 531,441 and 531,441 x 27 is 14348907 the same as 3 to the 15 power.

Step-by-step explanation: soooooo just control C control V the answer.

Please help me!! Thanks

Answers

Answer:

Step-by-step explanation:

The graph below shows the #tal distance, in miles, traveled by a towboat over time,
in hours.
AVERAGE SPEED
OF TOWBOAT
21.00
Total Distance (miles)
15.75
10.50
5.25
0 1 2 3 4
Time (hours)
Which statement best describes the meaning of the coordinates of point Fon
the graph?
It shows the unit rate of the graph in hours per mile

Answers

Answer:

it shows the unit rate of the graph in miles per hour.

Step-by-step explanation:

Answer:

It shows the unit rate of the graph in miles per hour

Step-by-step explanation:

...

Theo budgets $154 for karate classes. He buys a karate uniform, called a dogi, for $12. If it costs $8 to attend each karate class, which inequality below represents the number of classes, c, that Theo can take?

Answers

Answer- 1234

Step-by-step explanation:

sorry

Answer:

An inequality that represents the number of classes. C, that Theo can take is: 8c+12<=154.

Step-by-step explanation:

If pears cost $0.65, how many pears could you buy if you have $5.20 to spend? Write the equation you would use to answer the question. also, how was you alls day?

Answers

Answer:

0.65x = 5.20, 8 pears

Step-by-step explanation:

We put x beside 0.65 because that is the unknown number of pears we can buy with $5.20. To find out how many pears you could buy, we just solve for x. So let's do it!

0.65x = 5.20

x = 8

8 pears

Hope that helps, let me know if you need more help or have questions! :)

GEOMETRY. Is this correct? Why or why not

Answers

Answer:

No x doesn't equal 30 because 4(30)+8+68=196 instead of 180. It should be x=26

Step-by-step explanation:

Hope this Helped

what does m equal please help me i give brainliest plss.

Answers

The answer is m≥ 1/2

Answer: m[tex]>=[/tex] 1/2

Step-by-step explanation:

What is Your Budget?
Task 2
Directions:
You are offered a job with a starting annual salary of $50,000 and two options for
determining your annual raise:
Option 1: An annual raise of $3,000 per year.
Option 2: A 5% raise each year.

Answers

Option 1 I think i’m not positive though

Please can someone solve thiss !!! T~T
I have no idea what its saying and Im AlMosT doNE :(
Please help , it would mean so much

Answers

Answer:

y=2x

Step-by-step explanation:

Answer:

y=2x

is the answer answer

Please help im desperate :)

Answers

Answer:

-2

Step-by-step explanation:

You can see that the line is passing through the negative point, which is -2.

I hope this helped!

~natasha

What is 24x 7+ 6+ 2, Thx!

Answers

Answer:

176

Step-by-step explanation:

Remember to follow the order of operation, PEMDAS.

PEMDAS stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, solve the multiplication:

24 x 7 = 168

Next, add straight across:

168 + 2 + 6 = 170 + 6 = 176

176 is your answer.

write the equation of the line in fully simplified slope-intercept form??

Answers

Answer:

y=-2/3x+3

Step-by-step explanation:

(m)slope :rise over run

(b)y-intercept :where the line crosses the y axis

slope intercept for y=mx+b

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