A triangle has 2 sides of length 2 and 18 what compound inequality describes the possible lengths for the third side length

Answers

Answer 1

I'm pretty sure the answer is 72 :))


Related Questions

hat is the product of the least common multiple and the greatest common factor of $22$ and $48$?

Answers

Answer:

  1056

Step-by-step explanation:

You want the product of the LCM and the GCF of 22 and 48.

Product

One way to find the LCM of two numbers is to start with their product, then divide out the extra factor:

  LCM(A, B) = (A×B)/GCF(A, B)

Since we want the product of the LCM and the GCF, we can start with this and multiply by the GCF:

  LCM(A, B) · GCF(A, B) = ((A×B)/GCF(A, B)) · GCF(A, B)

  LCM(A, B) · GCF(A, B) = A×B

Using this for the given numbers, we get ...

  LCM(22, 48)·GCF(22, 48) = 22·48 = 1056

__

Additional comment

If you want to go to the trouble of finding the LCM and GCF, you get ...

  22 = 2·11

  48 = 2·24

  LCM(22, 48) = 2·11·24 = 528

  GCF(22, 48) = 2

  LCM·GCF = 2·528 = 1056

A scale drawing has a scale of 0.5 in =10 ft find the length

Answers

Answer: To find the length of an object in a scale drawing, you need to use the scale to convert the length on the drawing (measured in inches) to the actual length (measured in feet).

The scale of the drawing is given as 0.5 inches = 10 feet, which means that 1 inch on the drawing represents 10 feet in reality.

So, if the length of the object on the scale drawing is L inches, then the actual length of the object in feet would be:

Length (ft) = (Length (in) * 10 ft/0.5 in) = (L*20)

To find the actual length of the object in feet, you need to know the length of the object in inches from the scale drawing.

Once you have that measurement, you could then simply multiply it by 20.

Step-by-step explanation:

Can u please help.............

Answers

The rotation about the center that can map an equilateral triangle onto itself is C. 120 degrees.

What angle rotates an equilateral triangle onto itself ?

There are three equal sides and angles in an equilateral triangle which is 60 degrees each. This means that an equilateral triangle can be divided into  three-axis of symmetry such that there are three lines dividing the triangle.

Should this happen, then the angle to rotate the triangle and map it onto itself would be 120 degrees as each of these axes of symmetry measure 120 degrees.

Find out more on equilateral triangles at https://brainly.com/question/1827646

#SPJ1

write the equation of the cirlce, in standard form which has endpoints of a diameter at (-5,-5) and (7,2)

Answers

The equation of the circle in standard form is  ( x-h )2 + ( y-k)2 = r2. we can get the equation by putting the values of x coordinates and y coordinates of the circle.

A circle can be defined as a 2-D closed geometrical shape whose boundary points are at an equal distance from the center of the geometry.

Equation of the circle in standard form is,

( x-h )2 + ( y-k)2 = r2

we have to find the  the x-coordinate (h) & y-coordinate (k) of the center of the circle by taking the summation of x-coordinates & y-coordinates of the endpoints of the diameter respectively and dividing by 2.

here, h = ( x1 + x2 ) / 2

         k = ( y1 + y2 ) / 2

here endpoints of a diameter are at (-5,-5) and (7,2). Calculate the distance between  (-5,-5) and (7,2) using the distance formula and divide by 2 to get the circle's radius. Substitute the center coordinates and radius into a standard form to get the equation of the circle.

so, h = -5 + 7 / 2 = 1

     k = -5 + 2 / 2 = -3/2

Putting all the values we get the equation of circle in standard form.

To learn more about Equation of circle in standard form please visit:

https://brainly.com/question/11726539

#SPJ4

i need to add 7/4 + 1/4 +5/3+ 1/3+1/2+1/2

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{7}{4}+\frac{1}{4}+\frac{5}{3}+\frac{1}{3}+\frac{1}{2}+\frac{1}{2}\\\\ =\frac{8}{4}+\frac{6}{3}+\frac{2}{2}\\ \\ =2+2+1\\ \\ =5[/tex]

At a certain zoo, the average mass of one cow is measured to be 410410 kilograms. Use scientific notation to express the mass of 6060 cows

Answers

The scientific notation to express the mass of 60 cows is 2.46 × 10⁴ kg. It is determined after multiplying the mass of one cow by the number of cows.

What is scientific notation?

Scientific notation is a way of expressing very small or very large numbers in a simpler form.

In scientific notation, the number is written as

a.b × 10ⁿ

Where

1 ≤ a < 10n is an integer

If the mass of one cow is 410 kg, find the mass of 60 cows in scientific notation!

The mass of 60 cows would be

= number of cows × mass of one cow

= 60 × 410 kg

= 24,600 kg

In scientific notation, it is

24,600 kg = 2.46 × 10,000

24,600 kg = 2.46 × 10⁴ kg

Hence, the mass of 60 cows in scientific notation is 2.46 × 10⁴ kg.

Learn more about scientific notation here:

brainly.com/question/18073768

#SPJ4

make a the subject

2a+9b=4c

Answers

Answer:

This equation involves three variables: a, b, and c. Each variable is multiplied by a coefficient and then added together to equal a constant. To solve the equation, we must first determine what the value of the three variables are. To do this, we must use the coefficients to isolate each variable. We can start by isolating c. Divide both sides of the equation by 4 to get 2a + 9b = c. Now we can isolate b by subtracting 2a from both sides to get 9b = c - 2a. Divide both sides by 9 to get b = (c - 2a)/9. Finally, we can isolate a by subtracting 9b from both sides to get 2a = 4c - 9b. Divide both sides by 2 to get a = (4c - 9b)/2. Once we have the values of the three variables, we can substitute them into the original equation to check our work.

Step-by-step explanation:

Answer:

a=\frac{4c-9b}{2}

What are polynomials and its different types explain with examples?

Answers

Monomial, binomial, and trinomial expressions are all categorized by the number of terms they include.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

A polynomial with one term is called a monomial. A polynomial having two dissimilar terms is called a binomial. An algebraic expression having three terms is called a trinomial.

For more questions on Polynomials

https://brainly.com/question/30111198

#SPJ4

2x+2y=-6 what is it solved into a y=Mx+b

Answers

The equation 2x + 2y = -6 in the form of y = mx + b is y = -x - 3.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

2x + 2y = -6

Subtract 2x on both sides.

2y = -6 - 2x

Divide both sides by 2.

y = -3 - x

y = -x - 3

This is in the form of y = mx + b

Now,

m = -1 and b = -3.

Thus,

y = -x - 3 is the equation.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ1

Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related ?
O The locations of A' and B' are A' (0, 2) and B' (6, 0); lines f and f' intersect at point A.
O The locations of A' and B' are A' (0, 6) and B' (2, 0); lines f and f' intersect at point B.
O The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
O The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

Answers

The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

To explain this using a formula, we can use the dilation formula. This formula states that for any point (x,y) on the original line (f), when dilated with a scale factor of k and the center of dilation is the origin (0,0), the coordinates of the point on the new line (f') would be (kx, ky).

For point A, which has coordinates (2,0) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point A' on line f' would be (3 * 2, 3 * 0) = (6, 0).

Similarly, for point B, which has coordinates (0,2) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point B' on line f' would be (3 * 0, 3 * 2) = (0, 6).

Since the two lines have the same slope, line f and line f' are parallel.

Learn more about parallel here:

https://brainly.com/question/16701300

#SPJ4

John had 50$. He spent 60% of the money on clothes and 60% of the remainder on food.
a) how much more did he spend on clothes than on food?

b) how many percent more did he spend on clothes than on food?

Answers

Answer:

Step-by-step explanation:

a) John spent $30 on clothes and $12 on food, so he spent $18 more on clothes than on food.

b) He spent 150% more on clothes than on food.

Shaheen ha many triangular piece, each of area 1 q. Unit and many rectangular piece, each of area 2 q. Unit

Answers

If Shaheen has many triangular piece, each of area 1 sq. Unit and many rectangular piece, each of area 2 sq. Unit  she arranges these to form the given shape then the area of shape is 14 Square Units .

The Area of one triangular piece is given as = 1 Sq . Unit ;

The Area of one rectangular piece is = 2 Sq. Unit ;

From the shape given below ,

we can see that the shape has 4 triangular pieces and 5 rectangular pieces .

So , total area of given shape is ⇒[tex]4\times Area Of Triangle + 5\times Area Of Rectangle ;\\[/tex]

Substituting the values of Area ,

we get ;

[tex]Total Area = 4\times 1 +5\times 2[/tex]

= [tex]4+10[/tex]

= 14 Sq . Units .

Therefore , the area of the given shape is 14 Sq. Units .

The given question is incomplete , the complete question is

Shaheen has many triangular piece, each of area 1 sq. Unit and many rectangular piece, each of area 2 sq. Unit .

If she arranges these to form a shape as shown below, what would be the area of this shape ?

Learn more about Area here

https://brainly.com/question/29166290

#SPJ4

Please help I have a learning disablity
Find the value of x that makes a true statement.
24 + x = 24

x =

Answers

Answer:

24 + x + 24

X is 0

Answer: substract 24 from both sides

then x = 0

Step-by-step explanation:

Is 5'2 a solution to a system of equations?

Answers

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

Now, According to the question:

Let's know:

Solution to a System of Linear Equations:-

A system of linear equations consists of the equations of two lines. The solution to a system of linear equations is the point which lies on both lines. In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically.

Let's determine whether the given points are a solution to the systems of equations below.

Is the point (5, -2) the solution of the system of linear equations shown in the graph below?

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

Learn more about Linear Equation at:

https://brainly.com/question/11897796

#SPJ4  

What is the value of 7 power 2?

Answers

The correct answer to the given question is 49. To solve the given problem following steps are followed :

Step 1: 7 power 2 means 7 multiplied by itself 2 times.

Step 2: 7 times 7 is 49.

Step 3: So, the answer is 49.

Comparing two quantities that generate the same result when one is multiplied by a certain amount is known as a multiplicative comparison. Sam, for instance, has twice as many balloons as Sid does. Sid's got three balloons. Sam has two times Sid's amount of balloons. Sam has a total of 6 balloons, which is equal to 2 + 3 + 1.

To know more about power here

https://brainly.com/question/14834821

#SPJ4

The original selling price of a share stock was d dollars. The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d). Which descriptions could explain what happened to the price of the share stock?

Answers

The price of a stock share has decreased by 15% and suddenly increased by 5%.

What is a percentage?

The percentage is a fraction of a number represented as a number out of a hundred. The % symbol is used to denote percentages. The percentage signifies the frequency.

The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d).

When a % decrease occurs, the number is deducted from 100, and when a percentage increase occurs, the number is added to 100.

100 - 15% = 85% = 0.85

100 + 5% = 105% = 1.05

original selling price = d

selling price at a later date = 1.05(0.85d)

0.85d means that the original price was discounted by 15%

1.05 means that the price increased by 5%

Thus, the price of a stock share has decreased by 15% and suddenly increased by 5%.

To learn more about percentages click here:

brainly.com/question/25764815

#SPJ1

Pleaseeee help asapppppp

Answers

Simplifying

0.75x + 1.2 = 0

Reorder the terms:

1.2 + 0.75x = 0

Solving

1.2 + 0.75x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.2' to each side of the equation.

1.2 + -1.2 + 0.75x = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0

0.0 + 0.75x = 0 + -1.2

0.75x = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2

0.75x = -1.2

Divide each side by '0.75'.

x = -1.6

Someone please help! Picture attached

Answers

Answer:

third side = 3

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = 5²

x² + 16 = 25 ( subtract 16 from both sides )

x² = 9 ( take square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Lori's bookcase has 5 mystery novels and 8 romance novels. She randomly picks out 2 mysteries and 3 romances. How many different sets of 5 novels could Lori pick out?

Answers

Answer:

I would say 6 sets

Step-by-step explanation:

Mystery = 5  |  Romance = 8

0                        5

1                         4

2                        3

3                        2

4                        1

5                        0

each time she picks out 5 novels. There is only 5 mystery novels so you cant go past that

....but that's just me personally

Answer:

Step-by-step explanation:

560

In the model, a hundreds grid represents 1 whole. Which decimal is represented by the shaded portion of the model?

Answers

The decimal that is represented by the shaded portion of the model is 0.45

How can we express numbers belonging to decimal numeral system?

Suppose that the number is abcd.efg and belongs to the decimal numerical system.

Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.

Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.

We are given In the model, a hundreds grid represents 1 whole.

Since 45 out of the 100 squares are shaded,

This means the fraction would be 45/100

45/100 = 0.45.

Learn more about place value here:

https://brainly.com/question/17983725

#SPJ1

What’s the slope of the line graphed?

Answers

Answer:

slope = (-8/3)

Step-by-step explanation:

Point 1: (1, 4); Point 2: (4, -4)

           (x₁, y₁)              (x₂, y₂)

y₂ - y₁        -4 - 4          -8

----------- = ----------- = --------

x₂ - x₁         4 - 1           3

I hope this helps!

What are tractable and intractable problems?

Answers

As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.

Define tractable problem.

An algorithm that can solve a tractable problem in a polynomial amount of time. Polynomial describes the upper bound. An intractable problem is one that cannot be resolved in a polynomial amount of time. Exponential is the lower bound.

Here,

Tractable refers to "manageable," hence the word is used to indicate issues that can be resolved in a reasonable amount of time.

This leads to the definition of a problem as tractable as the existence of a polynomial-time algorithm that can solve it.

Unabating: Intractable. As an illustration, intractable pain and intractable diarrhea are both conditions that are untreatable despite the use of medication.

As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.

To know more about tractable problem , visit

https://brainly.com/question/30142700

#SPJ4

Please help ASAP will give 5 stars and brainliest if possible!!

Answers

answer

the dot will be shaded and the line goes to the positive part because x is more than or equal to 3

How do you simplify F G?

Answers

F G cannot be simplified because it is not an equation, it is a phrase.

1. First, determine what F G is. In this case, F G is a phrase and not and equation.

2. Since F G is a phrase, it cannot be simplified.

Determining what F G is the first step to simplifying it. F G is a phrase and not an equation, so it cannot be simplified. Simplifying an equation or expression requires breaking it down into its individual parts and then combining like terms or rearranging the equation to make it simpler. However, F G is not an equation and therefore cannot be simplified.

F G cannot be simplified because it is not an equation, it is a phrase.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

L)
express the given in terms os sin x or cos x

sin ( 4pi - x )

how

Answers

The value of sin(4π-x) is -sinx

What are trigonometric functions?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given that, express the given in terms of sinx or cosx sin (4π-x)

sin(4π-x) = sin(2π+2π-x)

We know, that, sin(a+b) = sina·cosb+sinb·cosa

Here, a = 2π and b = 2π-x

Therefore,

sin(2π+2π-x) = sin2πcos(2π-x)+sin(2π-x)cos2π

Now, sin2π = 0 and cos(2π) = 1

Therefore,

sin2πcos(2π-x)+sin(2π-x)cos2π

= sin(2π-x)

As we know that, sin(2π-x) = -sinx

Hence, sin(4π-x) = -sinx

For more references on trigonometric functions, click;

https://brainly.com/question/6904750

#SPJ1

Meada scored 24 points. If this was 4 less than the number
of points scored Jill scored, how many points did Jill score?
Define a variable. Then write an equation that could be
used to solve the problem.

Answers

Answer:

the answer is 28

Step-by-step explanation:

Maeda scored 24 points and if 4 less then jill

x is variable

x-4=24 add 4 on both sides

x=28

How do you draw an acute angled isosceles triangle?

Answers

Answer:

To draw an isosceles acute triangle, the first step is to draw a line segment horizontally which will be the base of the triangle.

Step-by-step explanation:

Now, draw two angles of equal measurements (each should be less than 90 degrees) on both the ends of the line segment. Join the arms of the angles. In this way, we will get an acute isosceles triangle.

Find the rate of change for this linear function.

y = 5x - 1



Find the initial value of the linear function

Y=5x+2

Answers

rate of change for this linear equation, y = 5x - 1 is +5

the initial value of the linear equation, y = 5x + 2 is +2.

What is linear equation?

A linear equation is an algebraic equation of the form y = mx+c, where m is the slope and c is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." If a linear equation contains two variables, it is referred to as a linear equation in two variables, and so on.

Non-linear equations are those that do not produce a straight line. It has a changeable slope value and resembles a graphed curve.

Given that,

y = 5x - 1 is a linear equation.

As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.

Therefore, for the given equation, rate of change is 5 and initial value is -1.

Given that,

y = 5x + 2

is a linear equation.

As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.

Therefore, for the given equation, rate of change is 5 and initial value is + 2.

To know more about linear equation refer to:

brainly.com/question/12788590

#SPJ4

Making connections between arithmetic sequences and linear function


Use the graph or the formula to write the equation of the line in a slope intercept form

Answers

Arithmetic sequences are those in which the difference between each subsequent phrase is a fixed number. This is shown by writing the equation for a line as y = mx+c, where m denotes the slope and c the y-intercept.

What is the relationship between arithmetic sequences and linear functions?The origin is the place where the X and Y axes always meet. Point (0, 0) on the XY plane is where the origin is situated. The XY plane is divided into four distinct quadrants using symmetry and the origin.Our origin will not be in the specified place if we added negatives to the axes as in the example presented. This indicates that the XY plane's four quadrants are not properly separated.This means that, as seen in the provided illustration, we are unable to include negatives on the axes. It primarily involves incorrect notation. A linear function is an algebraic sequence. Where d represents the common difference and c is a constant, we write an=dn+c in place of y=mx+b.

To learn more about arithmetic sequences refer to :

https://brainly.com/question/19836933

#SPJ1

Compute $17^{-1}\pmod{83}$. Express your answer as a residue from $0$ to $82$, inclusive.(You may find it helpful to consider the fact that $17\cdot 5

Answers

The residue from $0 to $82 is 44 ≡ x(mod83)

17−1≡x(mod83)

17∗17−1≡17x(mod83)      

5∗1≡5∗17=85(mod83)

5≡2x(mod83)

42∗5=210≡2∗42x=84x≡x(mod83)

44 ≡ x(mod83).

A mathematical operations that performs a calculation on two numbers is known as an arithmetic provider. They are used in everyday arithmetic, and most computer languages include a set of such operators that can be used within equations to perform a variety of sequential calculations. The following are examples of basic arithmetic operations are:

(+) Addition

Subtraction (-) (-)

() Multiplication            

() division

In programming, computers use different symbols to represent multiplication (*) and division (/). More complex operators, such as

Let's look at an ice cream multiplication example.              

There are two  groups, each has its own ice cream.

The total number of ice creams is 2x3=6    

To learn more about  residue
https://brainly.com/question/28690172
#SPJ4
               

Other Questions
Explain the difference between mechanical and chemical textile finishing processes the political cartoon below depicts william mckinley at the onset of the spanish-american war. use your knowledge of history to choose the statement below that most accurately summarizes the drawingA. McKinley looked for any provocation from Spain since he eagerly wanted to go to war so that the U.S. could secure new territories such as Cuba.B. McKinley wanted to secure new territories, but took cautious steps before proceeding to war with Spain.C. McKinley cared little for new territories; rather his major concern was furthering the labor union movements within the U.S.D. Imperialism played only a minor role in U.S. policies during the late 19th century. in what speed and dirrection did it move Enrique earns 101010 points for each question that he answers correctly on a geography test. Write an equation for the number of points, yyy, Enrique scores on the test when he answers xxx questions correctly.On his first geography test, Enrique answered 333 questions correctly. On his second test, Enrique answered 777 questions correctly.Place points on the graph to show Enrique's first and second geography test. In German, adjectives come before the noun and should 'agree' with the noun they are describing.This exercise is ONLY looking at the adjective endings in the nominative case. The ending of the adjective depends on the number (singular/plural), the gender (feminine/masculine/neuter), the case, AND the article (definite/indefinite) that is with the noun.Fill in the table with the correct forms of the adjectives in parentheses that complete the sentences. please answer quickly :) 2. If the Supreme Court deems a law Congress mayamend the law or replace that law.A.fundamentalB.unconstitutionalC.constitutionalD.intrinsic Base your answer to the following question on the elements below. (A) Boron (B) Rubidium (C) Nitrogen (D) Mercury A highly reactive element A) A B) B C) C D) D If a piece of luggage has a height of 20.5 inches and a length of 14.75 inches, what is the maximum widthallowed for that piece of luggage?A)9.75inB)10.2inC)10.25inD)11.8in Select all ratios equivalent to 12:8 A. 15:10 B. 27:12 C. 14:2 Which therapeutic communication technique would be useful for a client with major depressive disorder Which prior Supreme Court case could be cited as a precedent for the majority decision in Gonzalez v. Raich (2005) Complete each sentence with the correct expression from the list. Make sure to conjugate the verb tener in the present tense according to the context of the sentence.QuestionsModeloMi hermana tiene que visitar a mis abuelos.Word Bank referenceYour options are:tener cuidado,tener ganas,tener miedo,tener mucha hambre,tener mucha suerte,tener prisa,tener que,tener razn,Question Mis sobrinos_______ del perro (dog) de mis abuelos.Question 2 Necesitas__________ con la computadora porttil (laptop).Question 3Yo________ practicar el vocabulario de espaol.Question 4Lola y yo_________ de escuchar msica latina.Question 5 Anita cree que (that) dos ms dos son cinco. Ella no____________. Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Click and place the simplified expression after its original expression. The layout for the flexible budget follows a _____ format. who took a lazie-faire approach to the economy in the mid 1800s Which graph represents the equation y equals one half times x minus 1? graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1 graph of a line passing through the points negative 2 comma 0 and 0 comma 1 graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2 graph of a line passing through the points negative 4 comma 0 and 0 comma 2 Scarcity, opportunity cost, and marginal analysis Aa Aa Latasha ls training for a triathlon, a timed race that combines swimming, cycling, and running. Consider the following statement: Because her pool sessions are helping her swim much reduce by one hour per in the swimming pool; however, her husband says that she should stop doing any cycling and running and spend all 20 hours per week in the pool. faster, Latasha plans to week the time she spends training on the bike and increase by one hour the time she spends Which basic principle of individual cholce does Latasha's decision lustrate that her husband's advice does not O People usually exploit opportunities to benefit themselves. O All costs are opportunity costs Resources are scarce. O Many decisions are taken using marginal thinking take a look at the figure. The basic shape of the body of the lamp shown is a A. cylinder. B. pyramid. C. cone. D. sphere. Mrs. Read can knit one pair of children's mittens with a ball of yarn six inches in diameter. How many pairs of identical mittens can she knit with a ball of yarn twelve inches in diameter