67. Extensions
Find the equation of the line that passes through the following points: (a, 0) and (c, d)

Answers

Answer 1

Answer:

Equation of a line passing through two point (a, 0) and (c, d) is given by [tex]$y=\frac{d}{c-a} x-\frac{a d}{c-a}$[/tex].

Step-by-step explanation:

In the question, it is given that a line passes through (a, 0) and (c, d).

It is asked to write the equation of line.

To do so, first find the values which are given in the question and put it in the formula of the equation of line passing through two points.

Step 1 of 2

Passing point of the line is (a, 0).

Hence, [tex]$x_{1}=a$[/tex] and

[tex]$$y_{1}=0 \text {. }$$[/tex]

Also, Passing point of the line is (c, d).

Hence, [tex]$x_{2}=c$[/tex] and

[tex]$$y_{2}=d \text {. }$$[/tex]

Step 2 of 2

Substitute the above values in the formula of equation of line passing through two point given by [tex]$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\left(x-x_{1}\right)$[/tex].

[tex]y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\left(x-x_{1}\right)$$\\ $y-0=\frac{d-0}{c-a}(x-a)$\begin{aligned}&y=\frac{d}{c-a}(x-a) \\&y=\frac{d}{c-a} x-\frac{d a}{c-a}\end{aligned}$$[/tex]

Hence, [tex]$y=\frac{d}{c-a} x-\frac{d a}{c-a}$[/tex].


Related Questions

Triangle ABC has vertices at A(3,4), B (-2,0), C (5,0). Prove that the area of the triangle formed by the joining midpoints of triangle ABC is 1/4 the area of triangle ABC

Answers

We have been able to prove that the area of the triangle formed by the joining midpoints of triangle ABC is 1/4 the area of triangle ABC.

What is the area of the triangle with vertices?

Area of triangle joining the points A, B & C is;

A₁ = ¹/₂[tex]\left[\begin{array}{ccc}1&1&1\\3&-2&5\\4&0&0\end{array}\right][/tex]

A₁ = ¹/₂(-1 * -20) + (1 * 8)

A₁ = 14

Thus;

Midpoint of AB is (¹/₂, 2)

Midpoint of BC is (³/₂, 0)

Midpoint of AC is (4, 2)

A₂ = [tex]\frac{1}{2} \left[\begin{array}{ccc}1&1&1\\\frac{1}{2} &\frac{3}{2} &4\\2&0&2\end{array}\right][/tex]

A₂ = ¹/₂(3 - 1(-7) + (1 * -3))

A₂ = ⁷/₂

Since A₁ = 14, we can equally say that;

A₂ = ¹/₄A₁

Read more about area of triangle at; https://brainly.com/question/13938833

#SPJ1

Lucy writes down her phone number by breaking it down into the format (949) 205-6630 instead of as a continuous 10-digit string (9492056630). What strategy is Lucy employing to recall her phone number

Answers

The strategy that Lucy uses to recall her phone number is what is known as Chunking.

What is Memory?

This refers to the place where information is stored for future use and can either be a short or long-term memory.

Hence, we can see that based on the breaking down of her phone numbers of Lucy into a particular format that separates them using country/state code, she is making use of chunking.

This method of chunking is effective because it would help Lucy to recall her number quite easily.

Read more about memory here:

https://brainly.com/question/24688176

#SPJ1

show if √5×√5×√8 is rational or irrational numbers​

Answers

√5 x√5 x√8= √(5x5x8) = √200 = 10 √2
It’s an irrational number

Answer:

Irrational number

Step-by-step explanation:

Rational and irrational number:

  Prime factorize the number and then simplify.

[tex]\sf \sqrt{5}*\sqrt{5}*\sqrt{8}=\sqrt{5*5*8}[/tex]

                     [tex]\sf = \sqrt{5*5*2*2*2}\\\ = 5* 2* \sqrt{2}\\\\= 10\sqrt{2}[/tex]is an irrational number.

solve the following equation for q. 5q - 3p + 4 = 4q - 2

Answers

subtract 4Q from both sides combine 5 Q and minus 4q to get Q add 3p to both sides subtract 4 from both sides subtract 4 from -2 to get to -6

solve for m and n. Due tommorow

Answers

Angles around a point equal 360°, so n = 360 - 291 = 69°

Thus, as angles in a triangle add to 180°, m = 180 - 31 - 69 = 80°

Please help ASAP!
Robin can clean 72 rooms in 6 days.
How many rooms can Robin clean in 9 days?
I'll give 20 points away.

Answers

72/6 is 12 meaning she can clean 12 rooms a day

9 times 12 is 108 so the answer is she can clean 108 rooms in 9 days

A 26-feet board is cut into 3 lengths where the first length is x, the second piece is 3 feet less than twice the first and the third piece is 2 feet more than the second. Find the length of the shortest piece.

Answers

We now have three equations, so we can solve them.

Let's define the length of the 3 boards in terms of x:

F=x

S=2x-3

T=2

F+S+T =26

x+2x-3+2 =26

3x =26+1=27

x =27/3 = 9 feet for First section

2x-3 =18-3 = 16 feet = Second

2 = Third

9+16+2 = 27

27 is the length of the shortest piece.

Learn more about the length at

https://brainly.com/question/2217700

#SPJ4

lorena lifeguards at a lap pool that is 25 yards long, 10 ards wide, and 2 yards deep. There is a drain around he entire top edge of the pool. Each winter, Lorena uts a cover over the top surface of the pool. 25 yd Cover 2 yd 10 yd Which statements are true about the poor? Check all that apply The drain is best measured using perimeter The volume of water in the pool is measured in square yards The area of the cover is 250 yo The length of the drain is the perimeter of the top of the pool and is 100 yd One edge of the pool measures 10 yd orena lifeguards at a lap pool that is 25 yards long , 10 ards wide , and 2 yards deep . There is a drain around he entire top edge of the pool . Each winter , Lorena uts a cover over the top surface of the pool . 25 yd Cover 2 yd 10 yd Which statements are true about the poor ? Check all that apply The drain is best measured using perimeter The volume of water in the pool is measured in square yards The area of the cover is 250 yo The length of the drain is the perimeter of the top of the pool and is 100 yd One edge of the pool measures 10 yd​

Answers

The true statements about the pool are

The drain is best measured using perimeter The area of the cover is 250 square yardsOne edge of the pool measures 10 yd

How to determine true statements?

The given parameters are:

Length = 25 yardsWidth = 10 yardsDepth = 2 yards

To measure the drain, we simply calculate the perimeter of the edge of the pool.

This means that (a) is correct

When the volume is calculated, the unit is cubic yard or yd³.

This means that (b) is wrong

The area of the cover is:

Area = Length * Width

This gives

Area = 25 yards * 10 yards

Evaluate

Area = 250 square yards

This means that (c) is correct

The length of the drain is calculated as:

Perimeter = 2 *(Length + Width)

This gives

Perimeter = 2 * (25 + 10)

Evaluate

Perimeter = 70

This means that (d) is wrong

Lastly (e) is correct, because the width of pool is 10 yards

Read more about perimeter and volume at:

https://brainly.com/question/15465114

#SPJ1

x =x=x, equals
^\circ

Answers

Answer: [tex]55^{\circ}[/tex]

Step-by-step explanation:

Angles on a straight line add to [tex]180^{\circ}[/tex].

What is the sum of the series infinity e n-1 -7(3/8)^n?

Answers

Let

[tex]S_N = \displaystyle \sum_{n=1}^N -7 \left(\frac38\right)^n = -7\left(\dfrac38 + \dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \cdots + \dfrac{3^N}{8^N}\right)[/tex]

Then

[tex]\dfrac38 S_N = -7\left(\dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \dfrac{3^4}{8^4} + \cdots + \dfrac{3^{N+1}}{8^{N+1}}\right)[/tex]

[tex]S_N - \dfrac38 S_N = -7 \left(\dfrac38 - \dfrac{3^{N+1}}{8^{N+1}}\right)[/tex]

[tex]\dfrac58 S_N = -\dfrac{21}8 \left(1 - \left(\dfrac38\right)^N\right)[/tex]

[tex]S_N = -\dfrac{21}5 \left(1 - \left(\dfrac38\right)^N\right)[/tex]

As [tex]N\to\infty[/tex], the exponential term will converge to zero, so the infinite sum converges to

[tex]\displaystyle \sum_{n=1}^\infty -7 \left(\frac38\right)^n = \lim_{n\to\infty} S_N = \boxed{-\dfrac{21}5}[/tex]

(03.01 MC) The length of a rectangle is 5 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle? O 5 units ( 03.01 MC ) The length of a rectangle is 5 units and its width is 4 units . What is the approximate length of the diagonal of the rectangle ? ​

Answers

Answer:

√41, or about 6.4 units

Step-by-step explanation:

[tex] \sqrt{ {5}^{2} + {4}^{2} } = \sqrt{25 + 16} = \sqrt{41} [/tex]

√41 is about 6.4 units

Goran is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $93 and allows unlimited mileage. Company B has an initial fee of $65 and charges an additional "$0.80" for every mile driven. For what mileage will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer:

m>35

Step-by-step explanation:

We have to find the least m for 65 + 0.8m > 93.

subtract 93 from each side of the inequality: 0.8m > 28

divide both sides of the inequality by 4: 0.2m > 7

multiply both sides of the inequality by 5 to find m: m>35.

Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

All 3 are right triangles.

Step-by-step explanation:

In a right triangle c^2 = a^2 + b^2   where c is the longest side.  ( by Pythagoras).

a) 3^2 = 9, 6^2 = 36 and √27 ^ 2 = 27

36 = 9 + 27

So this is a right triangle.

b)

17^2 = 289, 15^2 = 225 and 8^2 = 64

289 = 225 + 64

Also right triangle.

c) √50 ^ 2 = 50, 5^2 = 25 and 5^2 = 25

So also right triangle.

i need help ASAP I’ll mark Brainly

Answers

Answer:

D : (0 ≤t ≤6)

R : (-2 ≤d ≤0)

Step-by-step explanation:

your domain is your x and your range is your y.

this means that you start by looking at your x axis. in this problem, x goes from 0 to 6, so 0 ≤t ≤6

this is the same for y.

y goes from -2 to 0 (remember that you read the y axis down and up, so you need to have the negative number written first)  

so -2 ≤d ≤0

Answer:

(domain: 0 ≤ t ≤ 6)

(range: -2 ≤ d ≤ 0)

Step-by-step explanation:

domain of a function: all possible x-values

range of a function: all possible y-values

here, we know that we can't have negative time (note: time is along the x-axis and is x-variable; it is describing the domain)

(and yes, while time still goes on forever, this graph does not have an arrow on the end of it, meaning that is where we are considering time to stop--and because its an ≤ sign, it wouldn't be infinity)

so, time goes from 0 to 6

(domain: 0 ≤ t ≤ 6)

here, we also know that our submarine won't go above the water level (it's not going to keep floating up into space forever), so the maximum value of our range (depth) is going to be 0

we also won't be going any lower than where the toy starts--which we can see to be -2

so, the depth goes from -2 to 0

(range: -2 ≤ d ≤ 0)

hope this helps!! have a lovely day :)

x =x=x, equals
^\circ

degrees

Answers

Answer:

Actually this question is easy. Mutual angles are equal to each other. Then 152-90=62

Identify the postulate if possible

Answers

Answer:

Below.

Step-by-step explanation:

It's the Alternate Angle Theorem.

The opposite sides of the quadrilateral are parallel.

What times itself gets 2230

Answers

There's no "whole" number that gets exactly to 2230 (but the question that you are asking is the square root of 2230 I believe) but the answer would essentially be about 47.22.

What is the approximate angle made by the stairway with the ground?

Answers

Answer: C

Step-by-step explanation:

[tex]\sin x=\frac{13}{18}\\\\x=\sin^{-1} \left(\frac{13}{18} \right) \approx \boxed{46.24^{\circ}}[/tex]

i need help asap
1: Write a function that represents this process:
Take a number, x.
Multiply it by 4.
Subtract 2 from the result.
Then find the inverse of this function. Does the inverse represent the reverse of the process above? Explain why or why not.
2:Show why, for linear functions, a vertical translation is equivalent to a horizontal translation. For a linear function, what horizontal translation is equivalent to a vertical translation of 3 units up?
3:Alex says that the function f(x) = (3x)2 represents a vertical stretch of the quadratic parent function by a factor of 3. Marta says that it represents a horizontal compression by a factor of . Decide whether one student is correct, both are correct, or neither is correct.
4:For an unknown parent function f(x), write a function g(x) that is:
vertically stretched by a factor of 2,
shifted up 5 units, and
shifted right 4 units.
Explain how your function accomplishes these transformations.

Answers

Original function involved multiplication by 4 and then subtraction of 2.

Inverse function involves addition of 2 and then division by 4.

So the inverse represents the reverse of the given process.

What is function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

According to the function,

Let the function be represented by f(x).

Step 1- Multiplying the number x by 4 results in 4x.

Step 2 - Subtracting 2 from results give 4x - 2.

So the function becomes:

f(x) = 4x - 2

We will find the inverse function by Replacing f(x) by y, and isolate x on one side of the equation and find the inverse:

[tex]y=4x-2\\\\ < br/ > y+2=4x\\ < br/ > x =\frac{1}{4} (y+2)\\ < br/ > f^-^1(y) = \frac{1}{4} (y+2)\\ < br/ > f^-^1(x) = \frac{1}{4} (x+2)[/tex]

Here,

The inverse function represents the reverse process.

Here, Original function involved multiplication by 4 and then subtraction of 2.

Inverse function involves addition of 2 and then division by 4.

So the inverse represents the reverse of the given process.

Learn more about Function here:https://brainly.com/question/12431044

#SPJ1

Write the equation of the circle graphed below. (-5,-5)

Answers

Answer:

(x+5)² + (y+5)² = 18

Step-by-step explanation:

Since the outline of the circle intersects with the point (-8,2), you can substitute to find the equation of the circle in the form (x-h)² + (y-k)² = r². First the center of the circle is given in the form (h,k). So (-5, -5) → (x – (-5))² + (y – (-5))² = r² → (x + 5)² + (y + 5)² = r².

Then to find r², substitute the given point with x and y.

((-8) + 5)² + ((-2) + 5)² = r²

(-3)² + (3)² = r²

18 = r²

r² = 18.

(a) A tank can be filled in 14 hours using 5 taps. If you need to fill it in 10 hours how many taps are needed?​

Answers

Answer:

3.57 taps

Step-by-step explanation:

14/5 = 10/x hours (divide both sides by 10)

50/14 = x (3.57 taps)

Brainliest, please :)

Answer:

7 taps

Step-by-step explanation:

rate =    1 tank / 5 taps = 14 hr

1 tank = 70 tap-hr

70 tap -hr  / x tap  = 10 hr

x = 7 taps

1
in
Which of the following gives a single solution of the inequality Ix+31-230 and shows a graph that can be used to
determine the entire solution set of the inequality?
x=0
--6-5
O x=-1
Mark this and return
54
3
4
t..
1 2 3 4
Save and Exit
Next
Submit

Answers

The required range of the x in the inequality [tex]\left|x+3\right|-2\le0[/tex] is [-1, -5]
and the graph is attached below

What are inequalities?

Inequality, can be define as when the equations contain [≤ , ≥   <, >] is called inequalities.

Simplifying

[tex]\left|x+3\right|-2\le0[/tex]
[tex]|x+3|\leq 2\\-2\geq x+3\leq2 \\-5\geq x \leq-1[/tex]

Thus, the required range of x in inequality  [tex]\left|x+3\right|-2\le0[/tex] is [-5, -1].

learn more about Inequality here:
https://brainly.com/question/20383699

#SPJ1

Answer: The answer to the question is Answer Choice "B"

where it says x=-1

Step-by-step explanation:

Proof that It's actually correct as you can see it on the screenshot :)

Drag the tiles to the correct boxes to complete the pairs.
Match each expression to its simplified form.

Answers

The simplification of each form of expression is;

(6r + 7) + (13 + 7r) = 13r + 20(13 - 3/2r) - (1 - r) = 12 - 1/2r(-8 - r) + (2r - 4) = -12 + r(7r - 3/2) - (2/3 + 6r) = r - 13/6

Simplification

(6r + 7) + (13 + 7r)

= 6r + 7 + 13 + 7r

= 13r + 20

(13 - 3/2r) - (1 - r)

= 13 - 3/2r - 1 + r

= 12 - 3/2r + r

= 12 -3r+2r/ 2

= 12 - 1/2r

(-8 - r) + (2r - 4)

= -8 - r + 2r - 4

= -12 + r

(7r - 3/2) - (2/3 + 6r)

= 7r - 3/2 - 2/3 - 6r

= r -9-4/6

= r - 13/6

Learn more about simplification:

https://brainly.com/question/723406

#SPJ1

Find the total surface area of this cylinder.
Give your answer to 1 decimal place.
20 cm
11 cm

Answers

20 cm the answer is 20 cm

The Womens' World Record Marathon time has improved by 34.82% from Dale Grieg's (UK) time of 3 hrs 27 mins 45s in 1964 to Paula Radcliffe's (UK) time in 2003. Find Paula Radcliffe's World Record time. ​

Answers

Using proportions, it is found that Paula Radcliffe's World Record time was of 2h 15 min 25s.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In seconds, Dale Grieg's time is of:

3 x 3600 + 27 x 60 + 45 = 12,465s.

The Womens' World Record Marathon time has improved by 34.82%, that is, it was reduced by 34.82%, which means that the time is 65.18% of what it was, hence Paula Radcliffe's time is seconds is given by:

P = 0.6518 x 12465 = 8,125s.

In hours, minutes and seconds, we have that:

8,125s = 2h 15 min 25s.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Solve for X
1. 6(8 x + 6) + - 1

2. 9x/7 + 6 = 6

3. 2x/11 (11 - 7) = 6

4.11x/4 (4 - 2) = 9x + 10

Answers

The value of x is

1. x= -37/48

2. x=0

3. x = 33/4

4.  x= -20/7

What is equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

1.  6(8 x + 6) + = - 1

   48x + 36 = -1

 x= -37/48

2.  9x/7 + 6 = 6

9x/7= 6-6

9x/7 =0

x= 0*7/9

x= 0

3. 2x/11 (11 - 7) = 6

    x * 4= 6*11/2

    4x= 33

    x = 33/4

4. 11x/4 (4 - 2) = 9x + 10

 11x/4 * 2 = 9x +10

11/2*x = 9x +10

-7/2x = 10

x= -20/7

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

What is the L.C.M of 4,10​

Answers

Answer:

The LCM is 20

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

What is the LCM of 4, 10

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

The lcm stands for the least common multiple.

Using our times tables, let's find the lcm of 4 and 10.

[tex]\bf{Which\;is\;20}[/tex]. 40 is indeed a common multiple of 4 and 10, but it's not the least common multiple. The lcm is 20.

We can also list some multiples of 4 and 10 and find the lcm.

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40...

10: 10, 20, 30, 40, 50, 60...

As you can see, we end up with the same answer: the lcm of 4 and 10 is indeed 20.

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

              [tex]\bf{=Lcm=20}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic \not1 \theta l}}[/tex]

The first digit of a 2-digit number is randomly selected from the set {1, 2}. The second digit is
randomly selected from the set {1, 2, 3, 4}. What is the probability that the 2-digit number is
prime?

Answers

The probability that the 2-digit number is prime is 3/8

How to determine the probability?

The sets are given as:

First digit = {1, 2}.

Second digit = {1, 2, 3, 4}

When the 2-digit is formed, we have:

Numbers = {11, 12, 13, 14, 21, 22, 23, 24}

In the above set, there are 3 prime numbers out of the 8 numbers.

Hence, the probability that the 2-digit number is prime is 3/8

Read more about probability at:

https://brainly.com/question/11234923

#SPJ1

please help me im in a rush

Answers

Answer:  69m^2

Step-by-step explanation:

we can find the area of shaded region by  subtracting the area of removed region.

so,

area of rectangle= length*width

for area of removed region

=4m*2m=8m^2

for area of  larger region

=11m*7m=77m^2

Now final destinaltion

area of shaded region=area of lareger region-area of smaller region

                                     =77m^2-8m^2

                                    =69m^2

Find x . , right triangles

Answers

Answer: B. X = [tex]4\sqrt{6}[/tex]

Step-by-step explanation:

sec(45) = hyp/12

12sec(45) = hyp

hyp = 16.9

cot(60) = x/16.9

16.9cot(60) = x

x = 9.7

B. X = [tex]4\sqrt{6}[/tex]

Other Questions
A sports league has 10 teams. Each team must send at least one player to the league's annual meeting, but may send as many as 5 if space is available based on the cost of the meeting. Holding the meeting costs the league $600 for the facility, plus $50 per player for food and materials. The league cannot spend more than $1900 on the meeting. Which inequality shows the number of players, n, who could be at the meeting? A can of soup has a height of 10 cm. If the volume of the can is 363 cubic cm, what is its radius? Which of the following points is/are true for plasma?(1) It is a very good conductor of electricity.(2) Gas is transformed into plasma state.(3) It is influenced by magnetic and electric fields.(4) All of the choices Call a number quasi-prime if it is composite but not divisible by 2, 7, or 11. For instance, the five smallest quasi-prime numbers are 5, 9, 15, 25, 27, and 39. There are 95 prime numbers less than 500. How many quasi-prime numbers are there less than 500 Which of the following best exemplifies a strong thesis?A. Everyone should buy an electric car because they save gas.B. The high price of college tuition is the reason students can't findjobs.C. Violent television is responsible for violence in youth.D. Wearing school uniforms makes students look nice. For the pair offunctions, f and g, determine the domain of f + g.f(x) = 4x + 19, g(x) = 12x + 14 Question 13 :A college has a learning management system (LMS) application that is in the cloud and maintained by the college IT department. The college has a contract with the company that wrote the LMS software to provide access to the LMS during planned maintenance periods and in the event of a disaster. This service is a cloud-based service as well. What cloud architectural model does the college use 5. Make connections to real life. On the front of this paper, you identify the MAJOR topic :"American History" and provided evidence of how the topic appears throughout the shortconsider ways this topic appears in real life and in our society. Make connections between Icharacters handle this topic and how real people approach this topic help me please i dont understand EpigramsBy Rabindranath TagoreRabindranath Tagore was born in Calcutta, India into a wealthy family. As a teenager, he attempted to study law in London, but he decided to return to India and instead pursue a career as a writer, philosopher, and educator. He achieved some success by the age of 51 in his native of Calcutta through his poetry, songs, and plays. He returned to England for the first time since leaving in 1878 and decided to begin translating his poetry into English. He encountered an artist friend who he had met back in India, Rothenstein, and with much persuasion shared his poetry. Upon reading his friend's poetry, Rothenstein talked his friend W.B. Yeats into reading the works of Tagore in a hand-written notebook and later that year, Gitanjali was published in a limited edition by the India Society of London. He quickly became an instant sensation among London's literary circles and the world. He had a strong spiritual presence, his words evoked beauty, and his poetry was unheard of. The opportunity to peer into the mysticism of Indian culture through his words was revealed to the West for the first time in history. In less than a year, he would be nominated and would ultimately win the Nobel Prize for Literature in 1913.I will close my door to shut out all possible errors. "But how am I to enter in?" cried Truth. "I obey not law, I am free!"this is the boast of Dream. Truth says sadly to him, "That is why thou art false." Dream says, "Truth is bound in an endless chain of necessity." Truth says, "That is why I am perfectly true." Favor complains, "I give but never receive." Mercy says, "I give, but never ask." Thou in the ditch hast an unlimited supply of mud, But what has he who walks above thee? The wasp murmured in contempt: "How ludicrously small are the honeycombs the bees make!" "Try to make a honeycomb still smaller," said the bee. "What costly preparations are for me," says the canal; "Rivers come rushing without ever being asked." "Sir Canal," say his courtiers to him, "The poor rivers are made only to supply you with water." The First takes the hand of the Last in a frank friendship. The Second keeps proudly aloof. The Echo always mocks the soundto conceal that she is he debtor. Ten members of Balins soccer team ran warm ups for practice. Each member ran the same distance. Their combined distance was StartFraction 5 Over 6 EndFraction of a mile. To find the distance that each member ran, Balin wrote the expression below.StartFraction 5 Over 6 EndFraction divided by 10Which expression is equivalent to Balins expression? On the number line above, point L (notshown) is located on line segment JK so thatJL = LK. What is the position of point L? The coordinates of C are (4,4), and the midpoint of CD is at M(-2,-6), what are the coordinates of point D? John and Bob are going to court. John says Bob failed to pay him for a racing bike, while Bob says John gave it to him as a gift. What type of case is this, and what are the possible verdicts? This is a criminal case. The jury can rule that Bob is liable or not liable. This is a civil case. The jury can rule that Bob is liable or not liable. This is a civil case. The jury can rule that Bob is guilty or not guilty. This is a criminal case. The jury can rule that Bob is guilty or not guilty. A vector A has a magnitude of 40.0 m and points in a direction 20.0 below the positive x axis. A second vector, B, has a magnitude of 75.0 m and points in a direction 50.0 above the positive x axis. Sketch the vectors A , B , and C =A +B, and using the component method of vector addition, find the magnitude of the vector C . Laws that built economic trust and stability Group of answer choices limit inflation. increase economic growth. guarantee businesses profit. To be effective, collisions between atoms must occur with the proper orientation and also the proper amount of __.explosionmatterenergycatalysis Medians: Using the methods previously described, the medians of each group were found to be: Who was ruling great britain and the colonies before the declaration of independence was passed? On a coordinate plane, a line goes through points (negative 2, negative 2) and (4, 2).The graphed line can be expressed by which equation?