If lines p and q are reflected across the x-axis, then which of the pairs of lines shown would coincide with this transformation?
A. lines a and b
B. lines c and d
C. lines f and e
D. lines g and h

The equation of the circle graphed in this problem is:

(x - 5)² + y² = 16.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

For the circle graphed, we have that:

Hence the equation of the circle graphed is:

(x - 5)² + y² = 16.

More can be learned about the equation of a circle at https://brainly.com/question/24307696

#SPJ1

The smallest measurement used in the apothecary system for volume is the minim.

The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.

In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.

The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.

However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.

To know more about volume click here

brainly.com/question/28338582

#SPJ11

In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

learn more about Histogram here:

https://brainly.com/question/1230107

#SPJ1

The box's CA measures 4.7 cm in length.

Given data;

△ABC has a right angle at C, BC = 9.2 centimeters, and ∠A=63°

To know CA;

Let CA = x

As per the given case,

In a triangle sum of angles = 180°

90° + 63° + C = 180°

C = 27°

Now,

From the △ABC;

tan 63° = 9.2/x

x = 9.2/tan 63°

x = 4.687

x = 4.7

Therefore, the length of CA in the box is 4.7 cm

To learn more about right angle click here:

brainly.com/question/7116550

#SPJ4

Answer:

−67/12

Step-by-step explanation:

Answer:

Exact form- 49/12

Decimal Form- -4.083

Mix Number Form- -4 1/12

Step-by-step explanation:

Answer:

x < 7

Step-by-step explanation:

Answer:

Option C  

Step-by-step explanation:

First evaluate √6 and √9

We are given that 3 is the base and height is about 2.4

Now let's find the area:

\(A=\frac{h_bb}{2} =\frac{2.45*3}{2}\) ≈ \(3.67423\)

Now that we have the area, let's evaluate the options.

√45  ≈ 6.7

√15 ≈ 3.9

3√6/2 ≈ 3.7 (No need for more steps as we've found the answer).

3√6/2 equals the area of the triangle which was 3.67423...

Hence, the answer would be Option C. 3√6/2

Answer:

Step-by-step explanation:

According to question we have:

See attached picture

Find the area:

7

I don't know how I would explain this, sorry.

Somebody else would probably be able to explain this better than me.

Answer:

C

Explanation:

Because If it is per shelf then to find the answer you need to use multiplication.

57 divided by 9 is 6 with 3 leftover so 6 shelves can hold 54 plants equally. But since there are still plants leftover you need one more extra shelf to hold the extra 3.

We have to calculate the mean of this sample.

We can do this with the formula:

If we apply this to this sample we get:

Answer: the mean score is 56.4375.

Step-by-step explanation:

A. total mass = 9 + (x × 1.2)

B. 21 - 9 = 12kg

12 ÷ 1.2 = 10 articles.

hope it helps. :)

Answer: 15

Step-by-step explanation:

This is a right angle and right angles always add up to 90 degrees.

You would take away 30 from 90 which equals 60.

Then because it is 4x you would do the inverse and divide 60 by 4 to get x on its own.

60/4=15

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

Learn more about dataset here:

https://brainly.com/question/26468794

#SPJ11

Answer:

17 and 35

Step-by-step explanation:

x + y = 52

x − y = 18

Add the equations together:

2x = 70

x = 35

Substitute into either equation:

y = 17

Answer:

The right answer is C.

Step-by-step explanation:

The parent function is:

\(f(x)=x^3\)

If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.

\(f(x)=(x-8)^3\)

graph shifted toward right by \(8\) units right

\(f(x)=(x-8)^3+3\)

graph shifted toward right by \(3\) units up

Thus the new function is:

\(g(x)=(x-8)^3+3\)

Answer:

Step-by-step explanation:

2) 133 + a = 180 {Linear pair}

            a = 180 - 133

           a = 47

a +b = 180   {linear pair}

47 + b = 180

      b = 180 - 47

      b = 133

x = b + 30   {Exterior angle property}

x = 133 +30

x = 163

3) m + 35+ 35 = 180 {Angle sum property of triangle}

m + 70 = 180

m = 180 - 70

m = 110

z = 35 {alternate interior angles are congruent}

x = m + z

x = 110 + 35

x = 145

The slope of the graph is -3.

Given,

\(1.5x+4.5y=18\)

Slope can be determined by transforming the equation into form \(y=mx+c\)  where, m= slope

\(1.5x+4.5y=18\\\\4.5y=18-1.5x\\\\y=\frac{18-1.5x}{4.5}\\\\y=4-3x\\\\y=-3x+4\)

Hence, the slope of the graph is m=-3.

To learn more about slope of the graph refer here

https://brainly.com/question/13496019

#SPJ1

Solution

Event 1: Probability is 8/16 = 1/2

Event 2: Probability is 1(certain to happen)

Event 3: Probability is 0(Impossible). There are no white slices in Spinner A

Event 4: Probability is 9/20

To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.

A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

Answer: 18

Step-by-step explanation: 20% of 90 is 18

20% or 0.2

of is another word for multiply

90*0.2=18

Answer: 18 is 20% of 90

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 10 )

m = \(\frac{10-7}{3-0}\) = \(\frac{3}{3}\) = 1

The Round-off of 47 nearest to the 10th is 50. This process is called rounding off the numbers.

The process is used to simplify the numbers so that the number can easily be calculated, this is called round-off. The Round-off process can take place to the nearest 10, 100,1000, and so on. It can also be used for numbers as well as decimal numbers so that we can write the decimal number in simplified form. In round-off, the numbers 0,1,2,3,4 are considered as nearest to the "0" and the numbers 5,6,7,8,9,10 are considered as nearest to the "10" similarly in this question 47 is considered as nearest to the "50".

For example: suppose you have to go 99 km, what will be the round of the distance? = 100 km

Learn more about round-off here:

https://brainly.com/question/24234983

#SPJ4

The equation of the line is y = 2x + 8 that is parallel to the given line y = 2x + 2 and passes through the point (−3, 2)

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of a straight line is:

y = mx + b

Where m is the rate of change and b is the y intercept.

Two lines are parallel if they have the same slope.

Let us assume that the line is parallel to y = 2x + 2 and passes through the point (−3, 2).

The slope of the line y = 2x + 2 is 2, Since it is parallel, the slope is also 2. hence:

y - y₁ = m(x - x₁)

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

y - 2 = 2(x + 3)

y = 2x + 8

The equation of the line is y = 2x + 8

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

An equation of the line that is parallel to the given line and passes through the point (−3, 2) is: 4x + 3y = -6.

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

By critically observing the graph (see attachment), we can logically deduce that the line passes through the following points:

Points (x, y) = (3, -1)

Points (x, y) = (0, 3)

Substituting the given parameters into the formula, we have;

Slope, m = (3 + 1)/(0 - 3)

Slope, m = 4/-3

Slope, m = -4/3.

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂ ⇒ -4/3 = -4/3

Note: m represents the slope.

At point (-3, 2), an equation of the other line can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the given points into the formula, we have;

y - y₁ = m(x - x₁)

y - 2 = -4/3(x - (-3))

y - 2 = -4/3(x + 3)

y - 2 = -4x/3 - 4

y - 2 = -4x/3 - 4 + 2

y = -4x/3 - 2

Multiplying all through by 3, we have:

3y = -4x - 6

Rearranging the equation, we have:

4x + 3y = -6

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

slope is 5

Step-by-step explanation:

y = 5x

This is in the form

y = mx+b where m is the slope and b is the y intercept

The slope is 5 and the y intercept is 0

Answer:

I think the answer would be A .

Answer:

2 more?

Step-by-step explanation:

The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

To know more about disk method visit:

https://brainly.com/question/28184352

#SPJ11

Answer:

78.625

Step-by-step explanation:

629 / 8 =  78.625

Answer:

629/8=78.625

OR

\(\frac{629}{8}=78\frac{5}{8}\)