write the equation of the line passing through the point (4, -6) with a slope of 1/2?

Answers

Answer 1

Answer:

Step-by-step explanation:

We know that , the equation of line when the slope and the coordinates are given is:

y - y1 = m(x - x1)

where x1 = 4 , y1 = -6 and m = 1/2

therefore, y -(-6) = 1/2(x - 4)

y + 6 = x/2 - 2

6+2 = x/2 - y

8 = x - 2y/2

16 = x - 2y

required equation : x-2y-16=0


Related Questions

What is the domain of the function y √ x?

Answers

The domain of the function y = √ x is x ≥ 0.

The domain of a function is the set of all input values for which the function is defined. The square root function, represented by √, is only defined for non-negative real numbers. This is because the square root of any negative number is not a real number, it becomes an imaginary number. Therefore, the domain of √ x is the set of all real numbers greater than or equal to zero.

This means that any input value less than zero would result in an undefined output for the square root function. In this case, since the square root is the only function, the domain of the function y = √ x is x ≥ 0. This means that the function can only take non-negative real numbers as input and will output a non-negative number.

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If there is a 50-50 chance of the Sneakers winning today's game, what are the chances that they win their next gam~

Answers

Solving the question asked, we can say: If you win tonight, your odds of winning the next game are [tex]$58.33\%$[/tex]. After that, if you lose, you have a [tex]$38.88 \%$[/tex] chance of winning the game.

What is probability?

Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the disease that a particular event will occur. Another way to express probability is as a percentage from 0% to 100% or 0 to 1. Proportion of occurrences in the complete set of equally likely possibilities leading to a particular occurrence compared to the total number of outcomes.

[tex]$$\begin{aligned}& (2 / 3+1 / 2) / 2=X \\& 1,666 / 2=X \\& 0.58333=X \\& ((2 / 3+1 / 2 / 2) x 2 / 3=X \\& 0.58333 x 0.666=X .3888=X\end{aligned}$$[/tex]

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What is perimeter also called?

Answers

Perimeter is the total length of all sides of a shape, also known as the circumference.

Perimeter is a measure of the distance around a two-dimensional shape. It is the sum of the lengths of all the sides of a shape. Perimeter is also known as the circumference. When calculating perimeter, you measure the length of each side of the shape and add them together. For example, the perimeter of a square with sides of 4 inches each would be 16 inches. Perimeter is an important concept in geometry, and it can be used to calculate area, the space within a shape or figure. It can also be used to calculate the distance between two points. Knowing the perimeter of a shape can help you solve many problems in math, design, and science.

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Estimate how many times larger 6.1 • 10^7 is than 2.1 • 10^-4

Answers

Answer:

Estimation: 300 Billion times bigger

Actual: 290 Billion times bigger

Step-by-step explanation:

Lets group the coefficients together and the exponents together.

[tex](\frac{6.1}{2.1})(\frac{10^7}{10^{-4} })[/tex]

We can round 6.1 to 6.

We can round 2.1 to 2.

[tex](\frac{6}{2})(\frac{10^7}{10^{-4} })[/tex]

[tex](3)(\frac{10^7}{10^{-4} })[/tex]

Subtract the exponent from the denominator from the exponent of the numerator.

[tex](3)(10^{7-4*1} )[/tex]

[tex](3)(10^{7+4} )[/tex]

[tex](3)(10^{11} )[/tex]

[tex]3*10^{11}[/tex]

[tex]10^{11}[/tex] is 100 billion.

3 times 100 billion is 300 billion.

Which function best represents the sequence 10, 13, 16, 19, 22..., where n is a positive whole number?
a(n) = 7+3n
Ob(n) = 10 + 3n
Oc(n) = 7+3
Od(n) = 10 +3"

Answers

Answer:

first function

Step-by-step explanation:

there is a common difference between consecutive terms , that is

13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 10 and d = 3 , then

[tex]a_{n}[/tex] = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n

Can canvas track tabs?

Answers

Canvas cannot track tabs.

While Canvas cannot track whether students switch to new tabs in their web browsers during a quiz or test, it can track when a student completes a quiz and navigates to a different page on the website rather than the one they were previously on. However, the general public cannot access this data.

In a perfect world, Canvas wouldn't be able to tell if a student opened new tabs in a browser or a new program or online browser while taking a quiz or test. However, Canvas will watch over and restrict student internet activity if the exam is proctored.

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A=?cm
What is the correct answer?

Answers

Answer:

A = 80 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 4 and h = 2 , then

A = 4 × 2 = 8 cm²

there are a total of 10 tiles required ( 5 black and 5 white ) , then total area is

A = 10 × 8 cm² = 80 cm²

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎‎‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎
[tex]w + 29 = 250 \div 5 - 20[/tex]

Find the value of w​

Answers

Answer:

I don't know I am sorry bro

Write an equation of the line that passes through the given point and is perpendicular to the given line.

(2, 5); x = -6

Answers

well, since the given line is a horizontal line, a perpendicular line to that will just be, yeap, you guessed it, a vertical line, Check the picture below.

A cup of tea costs $3.25 at a local cafe. Alan and his wife, Patty, have a coupon for $1 off their order. Alan says the expression 3.25t - 1 represents the cost for t cups of tea. Patty says the expression 3t + (-1) represents the cost. Are their expressions equivalent? Explain.

Answers

Answer:

Step-by-step explanation:

The expressions are not equivalent.  A cup of tea costs $3.25.  $3.25t reprensents the total cost for the number of cups of tea (t) in one order.  Subtracting the $1 coupon or adding the coupon as a negative results in the same discount.  But Patty is using the wrong cost for a cup of tea, $3 instead of $3.25.  Resulting in expressions that are NOT equivalent.

A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 15x. What is the area of the metal frame? (Type your answer in factored form. Type an exact answer in terms of pi.


The area of the frame is __ square units

Answers

The area of the frame is 196.73 x²

What is area ?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Area is a phrase used to describe how much room a 2D form or surface occupies. Area is measured in square units, such as cm2 or m2. The area of a form is computed by dividing its length by its breadth.

(15x)^2 = 225x^2

Area of the frame

= π (3x)²

= 28.27 x²

Metal area surrounding the frame

225 x² - 28.27 x²

= 196.73 x²

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(I need the answer as FAST as possible so if anybody could help that would be greatly appreciated)

Answers

The formula for the area of a triangle is BH/2(base x height divided by 2)
24x11=264/2=132
Your answer is 132 square units
132 square units

Area of a triangle has a formula of
1/2 multiplied by the base , then multiplied by the height
Here,
Base is 24
Height is the 11 (dotted line)

So,
24 x 11 = 264
264 x 1/2 same as 264 x 0.50
=132 square units

8. Sarah has a cube with a volume of 2,197 cubic centime
of Sarah's cube?
volume of 2,197 cubic centimeters, which square represents the faces
15 cm
25 cm
13 cm
10 cm​

Answers

The side of the cube, the faces will be 13 cm.

What is cube?

The term "cube" refers to a solid three-dimensional shape in mathematics or geometry that has six square faces, eight vertices, and twelve edges. It is also asserted to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent example in daily life and can help to increase brain capacity. Similar to this, you'll run into a lot of real-world examples, like 6 sided dice, etc. Solid geometry is the study of three-dimensional objects with surface areas and volumes. Cube, cylinder, cone, and sphere are some of the other solid shapes. Here, we'll talk about its definition, attributes, and relevance to mathematics.

Sarah has a cube with a volume of 2,197 cubic cm.

side is ∛(2197) =13 cm

So the side of the cube will be 13 cm.

Hence, the side of the cube, the faces will be 13 cm.

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Fill in the blank question.
Miss Wade's science class of 20 students is going on a field trip to the zoo. Each student will also take a train ride around the zoo. Mr. Sexton's class of 25 students is going on a field trip to the state park and will take a canoe trip. Admission to the zoo is twice that of the state park's entry fee as shown in the table. Each group will spend the same total amount of money.

Answers

The admission fee for the zoo and for the state park is given as follows:

Zoo: $13.State park: $6.5.

How to model the situation?

For the zoo, the costs are divided as follows:

Admission: 2x per student.Train ride: $3.25 per student.

20 students are going to the zoo, hence the total cost spent at the zoo is given as follows:

20(2x + 3.25) = 40x + 65.

For the state park, the costs are divided as follows:

Admission: x per student.Train ride: $6.50 per student.

25 students are going to the state park, hence the total cost spent at the state park is given as follows:

25(x + 6.50) = 25x + 162.50.

The costs spent at both parks are the same, hence the value of x can be obtained as follows:

40x + 65 = 25x + 162.5

15x = 97.5

x = 97.5/15

x = 6.5.

Hence the admission fees are given as follows:

Zoo: $13, as 2x = 13.State park: $6.5, as x = 6.5.

Missing Information

The table is given by the image presented at the end of the answer.

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What is irrational statement?

Answers

An irrational statement is a kind of genuine number that can't be addressed as a basic portion. It can't be communicated in that frame of mind of a proportion. If N is silly, N isn't equivalent to p/q where p and q are numbers and q isn't equivalent to 0. Model: √2, √3, √5, √11, √21, π(Pi) are nonsensical.

A number can't be communicated as a portion of any numbers and. . Unreasonable numbers have decimal developments that neither end nor become occasional. Each supernatural number is irrational.

If a square root is not an ideal square, then it is viewed as an unreasonable number. These numbers can't be composed as a portion because the decimal doesn't end (non-terminating) and doesn't rehash an example (non-repeating).

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victoria took a test and got 80% of the questions right. she answered 20 questions correctly. how mnay queestions were on the test

Answers

Answer:

25

Step-by-step explanation:

let there be x questions on the test

80% of x = 20

80% * x = 20

80% = 0.8

0.8 * x = 20

divide both sides by 0.8 to isolate x

x = 20/0.8 = 25

How do you use sin Cos in C?

Answers

We can use the sin (), and cos () functions in C programming to find the sine and cosine values of any problem.

sin( ), cos( ) and tan( ) functions in C are used to find sine, cosine and tangent values.

sinh( ), cosh( ) and tanh( ) functions are used to find hyperbolic sine, cosine and tangent values.

exp( ) function is used to find the exponential “e” to the xth power. log( ) function is used to find the natural logarithm and the log10( ) function is used to find the base 10 logarithms.

The” math.h” header file supports all these functions in the C language.

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12. Sarah uses long division to convert
a rational number 2 to a decimal.
P
Which of the following statements
cannot be true?
A. The decimal form of P
q
terminates with a zero in the
tenths place.
B. The decimal form of P
eventually repeats.
C. The decimal form of never
terminates or repeats.
D. The decimal form ofis 0.

Answers

On solving thr provided question, by help of arithmetic progression, we got to know that a10 = 207

what is arithmetic progression?

There are two approaches to define arithmetic progressions (AP): The difference between any two successive terms in an arithmetic sequence must always be equal, and it is sometimes referred to as a series in which all terms except the first are created by adding a predetermined number to the preceding term.

9,15,25..............

15-9 = 6

25-15 = 10

a4 - 25 = 14 => a4 = 39

frequently referred to as a series in which all terms save the first are formed by adding a predefined number to the preceding term since the difference between any two succeeding terms in the sequence must always be equal.

a5-39 = 18 => a5 = 57

a6-57 = 22 => a6 79

...

...

...

...

...

a10 - 169 = 38 => a10 = 207

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For what value of k is the system of equations KX 3y K 2 12x Ky K inconsistent?

Answers

The system of equations is inconsistent for any value of k.

If we subtract the first equation from the second one, we get 0 = 12x, which is inconsistent no matter what value k is. This means that the system of equations has no solution and is therefore inconsistent.

The system of equations KX + 3y = K + 2 and 12x + Ky = K is inconsistent for any value of k. This is because when we subtract the first equation from the second one, we get 0 = 12x, which is an inconsistent equation no matter what value k is. This means that the system of equations has no solution and is therefore inconsistent. No matter what value we assign to k, the equations cannot be solved simultaneously and so the system of equations is inconsistent.

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What is the slope of the line passing through the points

(-8, 5) and (7,0)?

Answers

Therefore, the slope of the line passing through the points (-8, 5) and (7,0) is -1/3.

The slope of the line passing through the points (-8, 5) and (7,0) can be found by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m), we can use the formula:

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

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, using the coordinates (-8, 5) and (7,0), we have:

m = (0 - 5) / (7 - (-8)) = -5 / 15 = -1/3

Therefore, the slope of the line passing through the points (-8, 5) and (7,0) is -1/3.

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Kara Paid 24.64$ to ship 11 packages. Each package has the same size and weight. How much did it cost to ship 1 package?

Answers

Answer:

2.24$

Step-by-step explanation:

483000 in standard form

Answers

Answer:

483000

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

Answer:

48300000

We can write the above number as

4.83 x 10000000

=4.83 x 10 ^7

DEFG is a square with vertices at D(1, 1), E(1,6), F(6, 6), and G(6, 1). DEFG is reflected in the line x = 1. Find the coordinates of

D',E,F, and G'.

Answers

By considering the reflection, the coordinates of the reflected square D'E'F'G' are:

D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)

What is square?

A square is a two-dimensional geometric shape that has four equal sides and four right angles. It is a type of rectangle, but with all sides equal. The opposite sides of a square are parallel and of equal length. A square can be defined by its side length or by the coordinates of its vertices.

What is reflection?

Reflection is a type of transformation in geometry in which a shape is flipped over a given line, called the line of reflection. The image that is created is a mirror image of the original shape. The line of reflection can be a horizontal line, a vertical line, or any line that is not parallel to the axes. Reflecting a shape over a line involves taking the coordinates of each point of the shape and applying a specific rule (such as multiplying or adding a constant) to the x or y coordinate, depending on the line of reflection. This rule is often simple and easy to apply, such as reflecting over x = 1. The reflected shape will be in the same plane as the original shape but with a different orientation or position.

When a square is reflected in the line x=1, each of the points on the square will have their x-coordinate replaced by 1 subtracted from their original x-coordinate.

The coordinates of the reflected square D'E'F'G' can be found by applying this rule to the original coordinates of square DEFG:

D(1,1) => D'(1-1,1) => D'(0,1)

E(1,6) => E'(1-1,6) => E'(0,6)

F(6,6) => F'(6-1,6) => F'(5,6)

G(6,1) => G'(6-1,1) => G'(5,1)

So the coordinates of the reflected square D'E'F'G' are:

D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)

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What is the simplified form of StartRoot 144 x Superscript 36 Baseline EndRoot?

Answers

The simplified form of expression is, 12x⁶.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ √144 x³⁶

Now, By the property of square root;

⇒ √ ab = √a × √b

We get;

⇒ √144 x³⁶ = √144 × √x³⁶

And, By using the exponent property, we get;

⇒ xᵃᵇ = xᵃ × xᵇ

So, We get;

⇒ √144 x³⁶ = √144 × √x³⁶

                  = √144 × √x⁶ × √x⁶

                  = √12×12 × √x⁶ × √x⁶

                  = 12 × x⁶

                  = 12x⁶

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The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent?

Answers

When the four -  digit numeral is divisible by nine is given by 3AA1 the digit A represents 7

Properties of numbers divisible by 9

A number itself is divisible by 9 if its digit's sum is also divisible by 9.

In mathematics, multiples are the results of multiplying an integer by a given number. number divisible by 9 is multiple of 9

using the above property we have that

3 + A + A + 1 = 9, OR 18, OR 27

4 +2A = 9, OR 18, OR 27

assuming 18

2A = 18 - 4

2A = 14

A = 7

hence the number is 3771

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a plane is traveling 9 miles per minute how much time is needed to travel 216 miles

Answers

Answer:

Step-by-step explanation:

so since it’s traveling 9mi/m you need to devide 216 by the rate of 9mi/m to find how long it takes.

216/9=24 so it will take 24 minutes!

Answer:1,944 minutes

Step-by-step explanation:

if the question is a plane is traveling 9 miles per minute how much time is needed to travel 216 miles you need it is clear that you are doing a multiplication problem so multiply that and you get 1,944 minutes


your welcome

How many incas did the spanish kill on november 16 1532 o 100 o 600 o 1000 6000?

Answers

Spanish killed nearly 6000 Incas.

The Spanish conquistador and explorer Francisco Pizarro springs a trap on Atahualpa, the monarch of the Incas, in the year 1532. Atahualpa allowed roughly 6,000 unarmed men to attend the feast despite having almost 80,000 soldiers with him in the mountains. It took the Spanish a long time and much violence to conquer the Inca Empire. Pizarro's soldiers massacred the 6,000 Incans in approximately one hour.

The lone Spanish wounded were received by Pizarro himself, who injured his hand while saving Atahualpa's life. Pizarro retained Atahualpa in captivity while he prepared plans to conquer his empire because he understood that the emperor was worthy alive than dead. Atahualpa responded by appealing to his hostages' avarice and supplying them with money and silver in exchange for their release.

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Evaluate the function.
ƒ(x) = 2x + 1
f(x) = 7

Answers

Answer:

Read below

Step-by-step explanation:

Step 1: Multiply 2 by x: 2x

Step 2: Add 1 to 2x: 2x + 1

Step 3: Substitute x with 7: 2(7) + 1

Step 4: Multiply 2 by 7: 14 + 1

Step 5: Add 1 to 14: 14 + 1 = 15

10 Two cyclists are traveling along a track in the same direction. Their motions are described
by the linear equations d = 10t and d-8t= 2, where t hours is the time and d miles is the
distance from a point on the track.

b When will the cyclists meet?

Answers

Answer:

They will meet in 1 hour

Step-by-step explanation:

(1)  d = 10t

(2)  d - 8t = 2   rearrange this equation to:  d = 8t + 2

Set equation (1) equal to equation (2):

10t = 8t + 2

Solve for t:

10t - 8t = 2

2t = 2

t = 2/2 = 1 hr

A statistics class with 30 students has 10 males and 20 females. Suppose you choose 3 of the students in the class at random. Find the probability that all three are female

Answers

The probability that all three are female is  0.281

What is probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability. The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.

2030⋅1929⋅18282030⋅1929⋅1828 = 0.281

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Grade -7 ENGLISH PERIODIC TEST-2 Read the poem -'The Dentist and the Crocodile' by ROALD DAHL and answer questions 8-13:The crocodile, with cunning smile, sat in the dentists chair.He said, Right here and everywhere my teeth require repair.The dentists face was turning white. He quivered, quaked and shook. (3)He muttered, I suppose Im going to have to take a look.I want you, Crocodile declared, to do the back ones first.The molars at the very back are easily the worst.He opened wide his massive jaws. It was a fearsome sight(7)At least three hundred pointed teeth, all sharp and shining white.The dentist kept himself well clear. He stood two yards away.He chose the longest probe he had to search out the decay.(10)I said to do the back ones first! the Crocodile called out.Youre much too far away, dear sir, to see what youre about.To do the back ones properly youve got to put your headDeep down inside my great big mouth, the grinning Crocky said.The poor old dentist wrung his hands and, weeping in despair,He cried, No no! I see them all extremely well from here!(16)Just then, in burst a lady, in her hands a golden chain.She cried, Oh Croc, you naughty boy, youre playing tricks again!Watch out! the dentist shrieked and started climbing up the wall.Hes after me! Hes after you! Hes going to eat us all!Dont be a twit, the lady said, and flashed a gorgeous smile.Hes harmless. Hes my little pet, my lovely crocodile.7What did the dentist think the crocodile was trying to do?(1 Point)A. to trick him into being eatenB. to scare him into treating itC. to steal his medical instrumentsD. to impress him and become his pet8He's after me! He's after you! He's going to eat us all! Which of these best describes the dentist when he says the above lines?(1 Point)A. He is surprised at the turn of events.B. He is panicking and unsure of what to do.C. He is looking for a solution to the problem.D. He is trying to understand what is happening.9Which of these lines from the poem best shows that the dentist was afraid?(1 Point)A. line 3B. line 7C. line 10D. line 1610Looking at the dentist's reaction to her crocodile, the lady feels that _________________(1 Point)A. he is overreacting to her petB.she needs to punish her petC. she needs to protect her petD. he is being harsh with her pet11Which of these pairs does NOT have rhyming lines?(1 Point)A. line 3 and line 4B. line 9 and line 10C. line 15 and line 16D. line 19 and line2012Which of these describes the tone of the poem?(1 Point)A. silly and playfulB. angry and bitterC. serious and formalD. bored and uninterested help me pls i hate jurnal assignments working alongside the pharmacist , one of the duties a medication reconciliation technician would perform is to?a ) deal with various drug suppliers . b ) promote the assigned drugs in the healthcare communities such as physician clinics and pharmacies . c ) keep needed medications on hand . d ) ensure that the medication orders align with the medication that's sent home with a patient .