Find the range of possible values for x

The distance from coordinates p (5, 7) to coordinates (–2, 1) and (4, 1) in line n are  9.21 units and 6.08 units respectively.

The distance between two points is defined as the length of the line segment between two places representing their distance.

The distance from coordinates p (5, 7) to coordinates (–2, 1) in line n will be

⇒ √[(-2-5)² + (1-7)²]

⇒ √[(-7)² + (-6)²]

⇒ √[49 + 36]

⇒ √85

⇒ 9.21 units

The distance from coordinates p (5, 7) to coordinates (4, 1) in line n will be

⇒ √[(4-5)² + (1-7)²]

⇒ √[(-1)² + (-6)²]

⇒ √[1 + 36]

⇒ √37

⇒ 6.08 units

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Answer:

ofco 1+1=2

Step-by-step explanation:

abc that's why

Answer:

-8 and then the second one is -11

Step-by-step explanation:

Answer:

Step-by-step explanation:

it’s negative 3

The solution of simultaneous equations is x=4 and y = -1.

Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations.

We can solve simultaneous equations by various methods. here we will solve it by elimination method.

Here we have two simultaneous equations

      3x -2y = 14 --- (i)

and 4x + 3y = 13---(ii)

Now multiplying (i) by 3 and (ii) by 2 we get

 9x -6y = 42 and 8x + 6y = 26.

Now adding both we get

17x = 68 ⇒ x = 68/17 ⇒ x = 4.

Substituting the value of x in (i), we get

3*4 - 2y = 14 ⇒ -2y = 14-12 = 2 = -2/2 ⇒ y = -1.

Therefore, the values of x and y are 4 and -1 respectively .

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NOTE : The question given here is not complete. The complete question is given below.

Question: What is the solution of the simultaneous equations 3x- 2y= 14 and 4x+ 3y= 13?.

Answer:

Please give a question to answer. Nothing has been included to answer.

Step-by-step explanation:

Answer: nothing it’s a variable

The amount that would be Senja's taxable income would be = $38,700

This is the total income of an individual after the removal of discounts and exemptions from which such is expected to pay a certain percentage of tax.

The amount she earns a year = $46,200

Lat years total deductions = $2,900.

Deductions for business expenses = $5,000

Deductions for medical expenses = $2,500.

The total deductions for this year = $7,500

Therefore, the amount this year that is taxable income for Senja = $46,200 - $7,500 = $38,700

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The total amount owed by Erica after 5 years is $10865

From the question, we have the following parameters:

Also from the question, the formula to determine the compound interest formula to be represented as:

A = P(1 + r/n)^nt

Where the values of the variables have been stated above

Solving further, we replace the variables with their values in the above equation

So, we have the following representation

A = 5300 * (1 + (8%/12))^(6*12)

Evaluate the expression

A = 10865

Hence, the value of the amount after 6 years is $10865

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The difference between the depth at 3 minute ago and the depth now is 12 feet.

What is difference in mathematics?

Difference in mathematics is produced by one of the most important mathematical operations, which is obtained by deleting two numbers. It displays the difference between two numbers. The objective of finding the difference in math is to ascertain how many numbers there are between the two specified numbers. In terms of notation, there is a negative difference (-).

The depth 3 minute ago was -3 feet,

The depth now is -15 feet.

subtracting the depth now from the depth 3 minute ago,

-3 -(-15)

= 12 feet

Therefore, the difference is 12 feet.

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The average age of the two classes is 12.73 yrs.

Total age of 25 students =25×10=250years.

Total age of 30  students =30×15=450years

∴ Total age of 55 students =250+450=700years

∴ Required For 55 students   =  700/55 = 12.73 yerars

∴ The average age of the two classes is 12.73 yrs.

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The standard form of the given equation is 5x - 4y = -3.

What is a standard form of an equation?

The standard form for linear equations in two variables is Ax+By=C.

What is a slope intercept form?

The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.

Here, we have

y = 5/4x+3/4

we have to convert this equation into standard form

y - 5/4x = 3/4

y - 5/4x - 3/4 = 0

4y - 5x - 3 = 0

4y - 5x = 3

5x - 4y = -3

Hence, the standard form of the given equation is 5x - 4y = -3.

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The linear inequality is y≥ 245 and x ≥ 2y/25.

Linear Inequality:

Linear inequalities are defined as mathematical expressions in which two expressions are compared using the inequality symbol. The expression can be an algebraic expression or numerical expression or a combination of both.

Here it is given that x represents the teacher y represents the student.

It is given that no fewer than 2 teachers per 25 students.

x/y > 2/25

It is given that at least 245 students enrolled in the school.

As per the given condition,

The linear inequality for the students:

y≥ 245

Now the possible number of teachers (x).

As per the condition the required inequality for teachers will be:

x ≥ 2(y/25)

x≥ 2y /25.

Therefore the linear inequalities are y≥ 245 and x ≥ 2y /25.

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Answer:

a. Draw two lines which intersect each other somewhere on the graph.

b. Draw two parallel lines.

The length of the side chosen in order to make the cardboard box is 7cm in the square.

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

We are given that rajiv wishes to make a cube without lid with cardboard.

5a² = 245 sq.cm

a² = 245/5 = 49

a = 7 cm

Hence the length of the side chosen in order to make the cardboard box is 7 cm.

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Step-by-step explanation:

what does it mean for an object to stay at the same height ?

come on, you cannot tell me you don't understand this.

it means that e.g. the object is at a certain height (e.g. 50 ft above the ground) at the beginning of a time interval. then 1 seconds later it is still at the same height. 1 seconds after that it is still at this height. and so on.

how do you think that shows on a chart that displays height on an up or down scale ? as a flat (horizontal) line.

the chart is simply a rough picture of what the object does in real life.

so, where do we have flat (horizontal) segments in the curve ?

between second 2 and second 6.

and then infinitely after second 12.

in interval notation

[2, 6] and [12, +infinity)

please note the round bracket on the infinity side. it means the indicated end of the interval is not included. that is, because infinity is just a concept and not a number. it can never be reached. and it is therefore not included in the interval itself.

FYI - the flat line between second 2 and second 6 is not possible in real life, unless it rolls on a flat surface or something is holding it steady in place for these 4 seconds.

but a flying ball can never have a pure flat curve regarding height. only when it comes at rest on the ground. gravity would not allow that. not even for a bullet shot by a gun.

Answer:  Total distance 2√10

Step-by-step explanation:

Answer:

18/7

Step-by-step explanation:

check this might work as I simply

The scale factor that was used to enlarge the triangle uvw to klm is 4/3

The triangles that complete the question are added as an attachment

From the attached triangles, we have the following side lengths:

Triangle UVW

UV = 9 units

VW = 15 units

Also, we have

Triangle KLM

KL = 12 units

LM = 20 units

Because the triangle was enlarged from triangle UWV, it is expected that the side length of KLM will be greater than the corresponding side length of UVW

The scale factor of dilation is then calculated using the following scale factor formula

Scale factor = Side length of KLM divided by Side length of UWV

Mathematically, we have

Scale factor = KLM/UVW

Substitute the known values in the above equation, so, we have the following representation

Scale factor =20/15

Evaluate the quotient

Scale factor = 4/3

Hence, the scale factor is 4/3

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The number of feet for the fencing needed for the entire animal pen will be 36 feet. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

In a computer game, Shar needs to construct a pen molded like a right triangle for her creatures. Assuming she wants 9 feet of wall for the most limited side and 15 feet of wall for the longest side.

Then the third side of the triangle is given as,

⇒ √(15² - 9²)

⇒ √(225 - 81)

⇒ √144

⇒ 12 feet

Then the perimeter of the triangle is given as,

P = 9 + 12 + 15

P = 36 feet

The number of feet for the fencing needed for the entire animal pen will be 36 feet. Then the correct option is C.

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Answer: 36

Step-by-step explanation: srry if wrong i used this online calculator

If the minimum 30 chairs were sold , then the minimum number of Tables sold is 10.

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 40

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 40        .......1

200 C + 600 T = 12000         .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 40 × 200

i.e 200 C + 200 T = 8000

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 8000

Or, 400 T =  4000

i.e T = 10

Put The value of T in eq 2

So, 200 C + 600 × 10 = 12000

or , 200 C + 6000 = 12,000

Or, 200 C = 12000 - 6000

Or, 200 C = 6000

i.e C = 30

The number of chair sold is 30

If the number of chair sold is 10 ,

Then the min number of table sold = 200 × 30 + 600 T = 12000

i.e 600 T = 12000 - 6000

or, 600 T = 6000

∴   T = 10

I.e T = 10

Hence, if the minimum 30 chairs were sold , then the minimum number of Tables sold is 10 .

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Answer:

-4

Step-by-step explanation:

If the points are collinear, then all the points are on the same line. Any two points will have the same slope.

x and y, x and z, y and z, all have the same slope, -4.

Answer:

-0.37 or -37/100

Step-by-step explanation:

On a calculator, take the fraction, and divide the 1 by the 3:

1 divided by 3 = 0.33.

So, we have -3.33 divided by 9.

Let's use the calculator to find the final answer:

-0.37

To convert this to a fraction, we have to convert -0.37 to -37 and find the common 10. So, 1 is less than 37 in this term. Same with 10. But, 100 will work:

37/100

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Answer:

-10/27

Step-by-step explanation:

so to divide fractions first we turn them into improper fractioms

-3 1/3 ÷9

-10/3÷9/1

now we use skip flip mutliply to find the answer where we keep the first term the same then flip the second fraction and then mutliply

-10/3÷9/1

-10/3 × 1/9

-10/27

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The minimum sample size need for the given condition is 14

What is Confidence Level in Statistics?

The proportion of likelihood, or certainty, that the confidence interval will include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.

Solution:

The minimum sample sixe required when,

Confidence Level = 99%

Variance = 50%

Generally going through the table

Minimum sample size is

X = 14

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Answer:

  (b)  h = 37.3

Step-by-step explanation:

You want the value of h if an angle of a regular 16-gon is given as (5h-29)°.

The interior angle measure of a regular n-gon is given by ...

  θ = 180° -360°/n

For n=16, the interior angle measure is ...

 θ = 180° -360°/16 = 157.5°

The value of h can be found by solving the equation ...

  5h -29 = 157.5

  5h = 186.5 . . . . . . add 29

  h = 37.3 . . . . . . . divide by 5

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The maximum amount of time Jay can add water without causing the tank to overflow is 5 minutes.

Given:

Jay has a 50 gallon water tank. He fills the tank with a garden hose at a rate of 8. 2 gallons per minute.

There are 9 gallons of water in the tank.

water tank to fill = water tank capacity - water in the tank.

= 50 - 9

= 41 gallons.

Time = 41 / 8.2

= 41 / 82/10

= 41*10 / 82

= 10/2

= 5 minutes.

Therefore the maximum amount of time Jay can add water without causing the tank to overflow is 5 minutes.

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Answer:

3-1/2 - (-1 3/10)

Convert the number

3- 1/6 - (-13/10)

Determine the sign

3- 1/6 + 13/10

Transform the expression

90-5+39

_______

30

Calculate

124/30

Simplify

62/15

Answer

62/15

The value of the inequality u - 9.7 < -8.8 is u < 0.9.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Here, the inequality is given as:

u - 9.7 < -8.8

Collect like terms

u < -8.8 + 9.7

u < 0.9

The value is u < 0.9.

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Answer:

5/4

Step-by-step explanation:

Count up from the first point to the line where the second point lies, then write that number and count to the side till you reach the second point which would give you 5/4.