Find the length of side x in simplest radical form with a rational denominator.

Answer:

Step-by-step explanation:

Givens

Take any two points (9,33) and (5,17)

Use the slope formula to determine what the slope might be

m = (y2 - y1)/(x2 - x1)

y2 = 33

y1 = 17

x2 = 9

x1 = 5

Solution

m = (33 -17) / (9 - 5)

m = 16/4

m = 4

Extra

Use 5,17 to get the y intercept

x = 5

y = 17

y = 4x + b

x = 5

y = 17

Use the general equation for a line: y = 4x + b and solve for b

17 = 4*5 + b

17 = 20 + b

b = - 3

So the line equation is y = 4x - 3

I did this extra work because I did not believe that 1,1 could be a solution for this equation given the other numbers. Turns out I was wrong. y = 4x - 3 has all 4 points on the line.

Compare 1/7 to consecutive multiples of 1/9. This is easily done by converting the fractions to a common denominator of LCM(7, 9) = 63:

1/9 = 7/63

2/9 = 14/63

while

1/7 = 9/63

Then 1/7 falls between 1/9 and 2/9, so 1/7 = 1/9 plus some remainder. In particular,

1/7 = 1/9¹ + 2/63.

We do the same sort of comparison with the remainder 2/63 and multiples of 1/9² = 1/81. We have LCM(63, 9²) = 567, and

1/9² = 7/567

2/9² = 14/567

3/9² = 21/567

while

2/63 = 18/567

Then

2/63 = 2/9² + 4/567

so

1/7 = 1/9¹ + 2/9² + 4/567

Compare 4/567 with multiples of 1/9³ = 1/729. LCM(567, 9³) = 5103, and

1/9³ = 7/5103

2/9³ = 14/5103

3/9³ = 21/5103

4/9³ = 28/5103

5/9³ = 35/5103

6/9³ = 42/5103

while

4/567 = 36/5103

so that

4/567 = 5/9³ + 1/5103

and so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/5103

Next, LCM(5103, 9⁴) = 45927, and

1/9⁴ = 7/45927

2/9⁴ = 14/45927

while

1/5103 = 9/45927

Then

1/5103 = 1/9⁴ + 2/45927

so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/45927

One last time: LCM(45927, 9⁵) = 413343, and

1/9⁵ = 7/413343

2/9⁵ = 14/413343

3/9⁵ = 21/413343

while

2/45927 = 18/413343

Then

2/45927 = 2/9⁵ + remainder

so

1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/9⁵ + remainder

Then the base 9 expansion of 1/7 is

0.12512..._9

Answer:

the correct answer is B

Step-by-step explanation:

I got it correct on 2021 edge

Answer:

Slope = -2

Step-by-step explanation:

Given the two points, (-4, 10) and (0, 2), the error in the given problem is the incorrect substitution of values into the formula. It should have been formatted as follows:

Let (x₁, y₁) = (-4, 10)

    (x₂, y₂) = (0, 2)

The formula for solving for the slope of the line is:

m = (y₂ - y₁)/(x₂ - x₁)

where m represents the slope of the line.

Substitute the given values into the formula to solve for the slope:

m = (y₂ - y₁)/(x₂ - x₁)

[tex]m = \frac{2 - 10}{0 - (-4)}[/tex]

[tex]m = \frac{-8}{0 + 4 }[/tex]

m = -8/4

m = -2

Therefore, the slope of the line is -2.

Answer:

50.21, 50.12, 50.102,50.021

the last one

Step-by-step explanation:

sorted into descending order

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{7x > 49}}\\\\\large\text{DIVIDE 7 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{7x}{7}>\dfrac{49}{7}}}\\\\\large\text{CANCEL out: }\rm{\bf \dfrac{7}{7}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{\bf \dfrac{49}{7}}\large\text{ because it gives you the value of what is being compared}\\\large\text{to the x-value.}\\\\\large\boxed{\mathsf{x>\dfrac{49}{7}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{x > 7}}[/tex]

[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x > 7}}}\\\\\large\boxed{\mathsf{it\ is\ an\ O P E N\ circle\ shaded\ to\ the\ RIGHT}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

c

Step-by-step explanation:

y=x2-5x+6

Duke swims 0.05 miles in a minute.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Duke swims 0.10 mile in 2 minutes.

Now,

Since, Duke swims 0.10 mile in 2 minutes.

Thus, Speed = 0.10 / 2

Speed = 0.05 mile per minute

And, He swims at the same speed.

Thus, Distance in 1 minute,

Speed = Distance / Time

0.05 = Distance / 1

Distance = 0.05 miles.

Thus, Duke swims 0.05 miles in a minute.

Learn more about the speed visit:

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#SPJ2

Step-by-step explanation:

5p+11+8p-4

Hope it's help you

Have a great day<3

please make me brainliest please

Answer:

(5p+11)+(8p-4)

5p+11+8p-4

5p+8p+11-4

=13p+7

Answer:

$3

Step-by-step explanation:

19-4= 15

15 divided by 5= 3

Answer:

yy is the comparative narrow of speech to me happy and a bit in a sentence

Step-by-step explanation:

ami and a are of a and or very place argument you the have important X does the be for to gays found teacher you be use single be

If he get 96 new customers that means he will have to sign 24 customers

for the new service features.

The deal is to get 25% of your new customer to sign the new service features.

When the new customers are 96 in numbers, the number of individuals(25%

of the new customers) to be signed for the new features can be calculated as

follows:

New customer to sign for the new features = 25% of 96

New customer to sign for the new features = 25 / 100 × 96

New customer to sign for the new features = 2400 / 100

New customer to sign for the new features = 24

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This means that if I get 96 new customers that means I have to get 24 new customers

From the question, I want to set a goal of signing up 25% of your new customers for our new service feature.

Since we have 96 new customers, hence the total amount of new customers needed will be expressed as:

= 25% of 96

= 0.25 * 96

= 24 new customers

This means that if I get 96 new customers that means I have to get 24 new customers

Learn more on proportion here: https://brainly.com/question/19914553

Answer:

7

Step-by-step explanation:

We take the information in the problem and translate it into a linear equation of the form 3x-8=13. Combining like terms we get 3x=21. next divide both sides by 3 for a final answer of x=7

Answer:

1. 20 km

2. 0.5 hours

3. 40 km

4. 1.5 hours

5. A, 40 km/hr

6. 80 km/hr, 40 km/hr

Step-by-step explanation:

2. The lines of Car A and Car B at 0.5 hours, meaning the cars have been traveling for 0.5 hours before they met.

1. From 0 hours to 0.5 hours, Car A traveled from 20 km to 40 km. The distance traveled before Car A met Car B was 40 km - 20 km = 20 km.

3. Cars A and B travel at the same speed starting at the 0.5 hour, 40 km point. They are traveling at the same speed from 0.5 hours to 1.5 hours since they share the same line and therefore the same slope. From the point at which Cars A and B met, they traveled from 40 km to 80 km. They traveled at the same speed for 80 km - 40 km = 40 km.

4. Both cars reached point C at the same time of 1.5 hours.

5. Car A had constant speed sicne the lines "Car A" and "Cars A and B" had the same slope. The speed is equal to the slope of the line: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-20}{1.5-0} = 40 km/hr[/tex]

6.

First speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{40-0}{0.5-0} = 80 km/hr[/tex]

Second speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-40}{1.5-0.5} = 40 km/hr[/tex]

Answer:

EF= 18 in. , m<F=134'

Step-by-step explanation:

This ones for the boys with the booming system, top down ac with the cooling sytem

Answer:

I think that you should take your time and answer, every one can help you

Step-by-step explanation:

Step-by-step explanation:

ok give question and intro new sis

Answer: Percentage of all the people in the company are under the age of 25=x

Step-by-step explanation:

We have to use the weighted average.

x=(Σwi * vi )/Σ wi

w₁=3

w₂=2

v₁=40%

v₂=10%

x=[3(40%)+2(25%)] / (3+2)=34%

Solution: 34% of all people in the company are under the age of 25.

Answer:

d. took the test

Step-by-step explanation:

Answer:

19-8=11,11*n>=88,n>=8 ，8*119-8=11,11*n>=88,n>=8 9=152

Step-by-step explanation:

Unit price - cost = unit profit

When unit profit * quantity &gt; = Installation cost, achieve positive profit

Answer:

THE dates dec. 6 1729, and june 4 1764 were the only two perfect square dates in the 18th century

The interest rate of Jill's account as described is; 0.51%

The amount invested by Jill is $7,972.

According to compound interest;

In which case;

Therefore;

[tex]1 + r = \sqrt[15]{2.117} [/tex]

The interest rate is therefore; 0.51%

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Answer:

66 degrees

Step-by-step explanation:

All angles together equal 180.

79 + 35 = 114

180 - 114 = 66

or

180 - (79 + 35) = 66

I hope that this helps!

Answer:

a.divide the amount by the percentage.

$2700× 25%

Ans:$675

subtract the selling price from the profit.

$2700 - $675

Ans:$2025

b.divide the 15% from selling price.

$2700 × 15%

Ans: 405

deduct the selling from from the discount given.

$2700 - $405

Ans: $2,295

I think when you copied and pasted your question it re arranged itself