graph the line that passes through the two points then find the slope of the line (-3,-3)(1,1)​

We can start by placing the center at (-5,1).

The radius of the circle will be the distance between the center and the point (-2,-3).

If we graph this two points, we can use an angle protractor to draw the circle passing through point P(-2,-3) and centered at (C(-5,1):

Answer:

10%

Step-by-step explanation:

(26-23.40)/26x100%

Answer:

10%

Step-by-step explanation:

Answer:

I believe its A

Step-by-step explanation:

There is 17.5 inches distance between the tee and the hole on the model.

According to the question we have been given that

length of hole#9 is = 175 yards

the scale for the model is given as = 2 inch : 20yards

We need to find the inches between the tee and the hole.

Let the length between the tee and the hole on the model be x inches

Thus the above condition can be written as

               2 inches / 20yards = x inches/175 yards

We have to solve this proportion for x we get

                       x inches = 175*2/20

                            x = 17.5 inches

Hence there is 17.5 inches distance between the tee and the hole on the model.

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Answer:

643737.6

Step-by-step explanation:

1 inch is 2.54 centimeters. 2.54 centimeters is 1 inch. 12x2.54 =30.48. 30.48 is equal to one foot because 12 inches are in 1 foot and one inch is 2.54 centimeters. 1 yard is 3 feet so 30.48x3=91.44. 1 yard is equal to 91.44 centimeters. 1 miles is 1760 yards so 91.44x1760= 160934.4. 1 mile is equal to 160934.4 centimeters. Since 1 mile is equal to 160934.4 centimeters, you have to multiply 160934.4 by 4 to get 4 miles. 160934.4x4=643737.6 and this is your final answer. Therefore, 4 miles is equal to 643737.6 centimeters.

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Another name for the shape of the exercise mat is a parallelogram

The given parameters are:

Shape of mat = Rectangle

Width = 2 meters longer

The above means that the exercise mat is a rectangle, and the width of the rectangle exercise mat is 2 meters longer than the length

All rectangles are parallelograms.

So, this means that another name for the shape of the exercise mat is a parallelogram

Hence, another name for the shape of the exercise mat is a parallelogram

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Answer:

(625 • (x4)) -  28y4

 54x4 -  28y4 3.1      Factoring:  625x4-256y4  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  625  is the square of  25  

Check : 256 is the square of 16

Check :  x4  is the square of  x2  

Check :  y4  is the square of  y2  

Factorization is :       (25x2 + 16y2)  •  (25x2 - 16y2)  3.2      Factoring:  25x2 - 16y2  

Check :  25  is the square of  5  

Check : 16 is the square of 4

Check :  x2  is the square of  x1  

Check :  y2  is the square of  y1  

Factorization is :       (5x + 4y)  •  (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)

The shortest distance between n and p in units = (1 − a )2+ ( b+ 2)2.

The correct option is B.

The length of line segment connecting any two points is known as their distance from one another. The length of a line segment connecting the two given coordinates can be used to calculate the distance between the points in coordinate geometry.

The study of geometry utilizing coordinate points is referred to as coordinate geometry (or analytic geometry). The distance between two points can be calculated using coordinate geometry, as can the areas of triangles in the Cartesian plane, the midpoints of lines, and more.

The expression that represents this same shortest distance between P and N in units is found to use the distance between two points to be:

\(d=\sqrt{(1-a)^2+(b+2)^2}\)

The distance between two points, (x1,y1) and (x2,y2), is represented by:

\(d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

the distance between the points N(a, -2) and P(1,b) is:

\(\begin{aligned}&d=\sqrt{(1-a)^2+(b-(-2))^2} \\&d=\sqrt{(1-a)^2+(b+2)^2}\end{aligned}\)

The shortest distance between n and p in units = (1 − a )2+ ( b+ 2)2.

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I understand that the question you are looking for is:

a civil engineer is drawing a plan for the location and length of a new underground sewer pipe on a coordinate grid. the pipe on the plan will run from point n ( a , −2) to point p (1, b ) on the coordinate grid. which expression represents the shortest distance between n and p in units?

A. ( a +2)2+ (1 − b )2

B.  (1 − a )2+ ( b+ 2)2

The answer of the linear equation for Y=2x+5 is x = (y-5)/2.

What is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.  The standard form of a linear equation in one variable is of the form Ax + B = 0.  Now in this equation, x is a variable, A is a coefficient, and B is constant.

The given linear equation is,

Y=2x+5

Now, solve this linear equation for x

Take 5 to LHS it will change sign to -ve

y-5 = 2x

Next, take coefficient of x below to LHS

(y-5)/2 = x

Now, swap the sides

x = (y-5)/2

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Answer:

100 + 100 = 200

2 + 2 = 4

-_-

Answer:

100+100=200

2+2=4

Step-by-step explanation:

just double then like 2x2=4 and 100x2=200

Answer:

(-2)(_12)

Step-by-step explanation:

Multiplication of two negative signs will change to plus

+ x + = +

+ x - = -

- x - = +

- x + = -

Answer:

The cost is now £19135 after the reduction

Their hourly wage in 3 more years (after a total of 13 years) will be 17.43 per hour.

We can solve this problem using the formula for exponential growth, which is:

\(A = P(1 + r)^t\)

Where:

A = the amount after t years

P = the initial amount

r = the annual growth rate (expressed as a decimal)

t = the number of years

Let's use this formula to solve the problem:

Find the initial amount

The initial hourly wage is 7.40, so P = 7.40

Find the annual growth rate

The wages grew from 7.40 to 14.56 in 10 years, so we can use this information to find the annual growth rate:

\(14.56 = 7.40(1 + r)^{10}\\(1 + r)^{10} = 14.56/7.40\\(1 + r)^{10} = 1.97297\\1 + r = (1.97297)^{(1/10)\)

1 + r = 1.076

r = 0.076 or 7.6%

So the annual growth rate is 7.6% (expressed as a decimal).

Find the amount after 13 years

We want to find the hourly wage in 3 more years, which is a total of 13 years (10 years of past growth + 3 more years). So t = 13.

\(A = P(1 + r)^t\\A = 7.40(1 + 0.076)^{13}\\A = 7.40(1.076)^{13}\\A = 7.40(2.355)\)

A = 17.43 (rounded to two decimal places)

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Answer:

This one doesn't have all the requirements so it doesn't work out at least how do I understand it  

Step-by-step explanation:

The null hypothesis, denoted by H0, represents the status quo or the default assumption. In this case, the null hypothesis is that the average water consumption in Montana residences is 125 gallons per week.

The alternative hypothesis, denoted by Ha, is the hypothesis that the researcher is trying to prove. In this case, the alternative hypothesis is that the average water consumption in Montana residences is not equal to 125 gallons per week.

So, the null and alternative hypotheses for this problem are:

H0: μ = 125 (where μ is the population mean water consumption in Montana residences)

Ha: μ ≠ 125 (where μ is the population mean water consumption in Montana residences)

Note that the alternative hypothesis is a two-tailed hypothesis since we are testing whether the population mean is not equal to 125, which could mean it is either greater or less than 125.

Construction contract documents are essential legal instruments used in building contracts to set terms, conditions, and obligations between two or more parties.

It defines the contractual relationship between the parties and helps reduce the likelihood of disputes or misunderstandings.  This document specifies critical terms and provisions that are essential in any building project.

Conditions of contract: Conditions of contract refer to the terms and obligations set out in the building contract, which govern the relationship between the contractor and the client.

The standard of work to be done, payment, and any other requirements essential to the project. The conditions of contract are aimed at ensuring that both parties understand their rights, obligations, and responsibilities in the contract.  

 These agreements are usually created by professional organizations or the government, which have an interest in standardizing the terms and conditions of contracts within the industry.

The objective of a standard form of the contract is to make the contract process more efficient and more straightforward while ensuring that both parties' interests are protected.  Specifications of works: Specifications of works are detailed documents that describe the type and quality of work to be performed in a construction project.

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The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

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Answer:

Step-by-step explanation:

the question is asking for the length of the side labeled x

use Pythagoras'  theorem to find that side

where c = x   because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem

c = \(\sqrt{a^{2} + b^{2} }\)

sooo  plug in a = 14 and b = 10

c = \(\sqrt{14^{2} + 10^{2} }\)

c = \(\sqrt{196+100}\)

c = \(\sqrt{296}\)

c= 17.20465.....  ( that's the approx. length of side x in the problem )

since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA  to remember how those functions fit on the triangle.

Sin(Ф)=Opp/Hyp  Cos(Ф)=Adj/Hyp  Tan(Ф)=Opp/Adj

since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...

Cos(Ф)=10/17.20465

Ф = arcCos(10/17.20465)

Ф = 54.4623°  is the angle on the side with 10

the side with 14 then has an angle of 35.5376°

:)

Answer:

\(\huge\boxed{\sf 15 : 7 : 28}\)

Step-by-step explanation:

Total fish = 50

Fish left = 50 - 15 = 35

Now,

= 1/5 of 35

Key: "of" means "to multiply"

= 1/5 × 35

= 1 × 7

= 7 minnows

= 35 - 7

= 28

= 15 : 7 : 28

Answer:

The volume is 105/512 cubic inches

Step-by-step explanation:

Given [Missing from the question]

\(L = \frac{3}{8} cm\) -- Length

\(W=\frac{5}{8}cm\) -- Width

\(H = \frac{7}{8}cm\) -- Height

Required

Determine the volume.

The volume (V) is calculated as thus:

\(V = L *W *H\)

\(V = \frac{3}{8} cm* \frac{5}{8}cm * \frac{7}{8}cm\)

\(V = \frac{3}{8} * \frac{5}{8} * \frac{7}{8}cm^3\)

\(V = \frac{3*5*7}{8*8*8}cm^3\)

\(V = \frac{105}{512}cm^3\)

                - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond\)

          Which expression has least value when x=100?

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond\)

Substitute 100 for x and solve:-

\(\bold{\dfrac{1}{100}}\)

\(\bold{\dfrac{10}{100}}\)

\(\bold{1-100=-99}\)

\(\bold{10-100=-90}\)

Since -99 is the smallest number here, the expression with the least value when x=100 is Option C - \(\checkmark\dashrightarrow\boxed{\boxed{1-x}}}\dashleftarrow\checkmark\)

          - - -- - - - - - - - - - - - - - - - - - - -- - - - -

Answer:

x² + 4x + 4

Step-by-step explanation:

(x+2)^2

(x+2)(x+2)

x² + 2x + 2x + 4

x² + 4x + 4

Answer:The solution is in the attached file.

Step-by-step explanation:

Answer:

hope it helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

S is the midpoint of QR.

⇒ RS = QS    

QR ⊥ PS

⇒ ∠RSP = ∠QSP = 90°

In ΔPSR & ΔPSQ,

Statement                     Reason

RS ≅ QS                       S is midpoint of QR

∠RSP ≅ ∠QSP              QR ⊥ PS

PS ≅ PS                         Reflexive property

ΔPSR ≅ ΔPSQ               Side Angle Side - S A S Congruent

PR≅  PQ                        CPCTC

The static int "determineresult" takes two parameters, one integer and one double reference as input parameters.

Static int determineresult is a method signature in C# programming language.

The method "determineresult" has two parameters:

The first parameter is an integer named "value1". This parameter is passed by value, which means that the method creates a copy of the value1 variable and works with that copy within the method.

The second parameter is a reference to a double named " value2 ". This parameter is passed by reference, which means that the method works directly with the value2 variable outside the method. Any changes made to value2 within the method will be reflected in the original value2 variable.

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First, let's prove the set equality A(B∩C)=(A\B)∪(A\C) for sets A, B, and C:To prove A(B∩C)=(A\B)∪(A\C), we need to show that every element in A(B∩C) is also in (A\B)∪(A\C), and vice versa.

Let x be an arbitrary element in A(B∩C). This means x is in set A but not in the intersection of sets B and C. Since x is in A but not in B∩C, it implies that x is either not in B or not in C. Therefore, x is either in (A\B) or in (A\C). Hence, x is in (A\B)∪(A\C).Now, let y be an arbitrary element in (A\B)∪(A\C). This means y is either in (A\B) or in (A\C). If y is in (A\B), it implies that y is in A but not in B. Similarly, if y is in (A\C), it implies that y is in A but not in C. Therefore, y is in A but not in the intersection of B and C, which means y is in A(B∩C).

Since every element in A(B∩C) is also in (A\B)∪(A\C), and vice versa, we have proven the set equality A(B∩C)=(A\B)∪(A\C).In the given example A=N, B=2Z, and C=Z≥10: 2) A\B represents the set of elements in A that are not in B. Since A=N represents the set of all natural numbers and B=2Z represents the set of even integers, A\B includes all natural numbers that are not even. Therefore, A\B represents the set of odd natural numbers.For the truth table of logical implications or equivalences: (vi) (p∨q)⊕(p→q)⇒¬q is marked as False.

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Answer:

F(4) = 36

Step-by-step explanation:

F = C/a, where C is a constant

Since 48 = C/3

C = 144

F(a) = 144/a

-----

F(3) = 144/3

F(3) = 48

----

F(4) = 144/4

F(4) = 36

Any combination of translation, rotation, and reflection would result in a geometric figure that is exactly the same size and shape as dilate DEF by factor 3.

Dilation is a transformation that changes the size of a geometric figure but preserves its shape. When a figure is dilated by a factor of 3, all of its dimensions are multiplied by 3, and the resulting figure is three times as large as the original. To obtain a figure that is exactly the same size and shape as dilate DEF by factor 3, we need to apply a combination of transformations that preserves both the size and shape of the figure. Translation, rotation, and reflection are examples of such transformations. Translation involves moving the figure without changing its size or shape. Rotation involves turning the figure around a fixed point without changing its size or shape. Reflection involves flipping the figure across a line without changing its size or shape.

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Answer:

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.

Step-by-step explanation: