Could Someone Help Me with this rewrite dis equation into y=mx+b

y< -3/4x+2

Answers

Answer 1

The equation in the form of y=mx+b will be y= -3/4x+2

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that the inequality is y< -3/4x+2,

We have to write the inequality in the form of y=mx+b

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Thus, the equation in the form of y=mx+b will be y= -3/4x+2

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Related Questions

Sidney bought two magazines that
were each $4.95. If Sidney paid a total of
$10.59 for the two magazines with tax,
what percent tax did she pay for her s
purchase?

Answers

Answer:

Step-by-step explanation:

0.69

What is 2/9 to the 4th power?

Answers

Answer:

[tex]\frac{16}{6561}[/tex]

Step-by-step explanation:

[tex]\frac{2x2x2x2}{9x9x9x9}[/tex] = [tex]\frac{16}{6561}[/tex]

which statement about the graph of y=3x+5 is correct?

Answers

The correct statement regarding the linear function y = 3x + 5 is given as follows:

The line passes through the ordered pair (0,5) and has a slope of 3.

What are the slope and the intercept of the linear function?

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

The slope and the intercept are given as follows:

m is the slope, representing the rate of change of the linear function.The intercept is of b, representing the numeric value of the function when the input is of zero, hence the line passes through the ordered pair (0,b).

In this problem, the function is defined as follows:

y = 3x + 5.

Hence the coefficients have the values given as follows:

m = 3, b = 5.

Missing Information

The statements are given by the image shown at the end of the answer.

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The length of a rectangular drainage pond is changing at a rate of 8 ft/hr and the perimeter of the pond is changing at a rate of 24 ft/hr. At what rate is the width changing?

Answers

The rate of width changing will be;

⇒ 4 feet/hour

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The length of a rectangular drainage pond is changing at a rate of 8 ft/hr and the perimeter of the pond is changing at a rate of 24 ft/hr.

Now,

We know that;

Perimeter of rectangle = 2 (Length + Width)

Substitute al the values, we get;

⇒ 24 = 2 (8 + x)

⇒ 12 = 8 + x

⇒ x = 12 - 8

⇒ x = 4

Thus, The rate of width changing will be;

⇒ 4 feet/hour

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Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 15 mi, and they are driving at a constant rate of 65 mi/h. Complete the function that models the distance they drive as a function of time. Then complete a reasonable domain for this situation.

Answers

Therefore, the solution of this problem is the domain would be

0 < t ≤ 1.61.

What is domain?

A function's domain is the set of possible values that can be entered. This set reflects the values of x in a function like f. (x). Its range refers to the set of possible values that a function can accept. These are the values that are returned by the function when we enter an x value.

Here,

The remaining distance that would result from multiplying the speed by the time t will be added to the 20 miles that make up the total distance. The formula for the equation would be as follows:

120 = 15 + 65t

It would be 0 hours at the very least. When the entire 120-mile distance has been accomplished, the time limit is reached.

t ≤ (120 - 15)/65

t ≤ 1.61 hours

Therefore, the solution is the domain would be 0 < t ≤ 1.61.

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C is directly proportional to D, when C-125 and D=5. Work out the value of C when D = 6. Work out the value of D when C = 4725

Answers

Answer:

d=189 when c=4725

Step-by-step explanation:

c:d

125:5

divide by 5 to find the value of c when d=1

25:1

multiply by 6 to find the value of c when d=6

150:6

4725:?

4725/25=189

189*1=189

Please answer fast lots of points!!!!

Answers

Answer:

Step-by-step explanation:

Given that the equation of line one (L1) is 2x-y=3 and equation of line two (L2) is kx+2y=3 where k is a constant.

(a) Find the value of k such that L1 and L2 are parallel.

(b) Find the value of k such that L1 and L2 are perpendicular.


This question is related to Linear functions, Answers: (a) k = -4, (b) k=1. Someone pls tell me how to get there though

Answers

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

given the equation of L1 is

2x - y = 3 ( subtract 2x from both sides )

- y = - 2x + 3 ( multiply through by - 1 )

y = 2x - 3 ← in slope- intercept form

with slope m = 2

• Parallel lines have equal slopes

then slope of L2 is m = 2

given the equation of L2 is

kx + 2y = 3 ( subtract kx from both sides )

2y = - kx + 3 ( divide through by 2 )

y = - [tex]\frac{k}{2}[/tex] + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{k}{2}[/tex]

since slope of L1 and L2 are equal, both 2 , then

- [tex]\frac{k}{2}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

- k = 4 ( multiply both sides by - 1 )

k = - 4

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

(b)

given the slope of a line is m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

Then

for L2 to be perpendicular to L1

- [tex]\frac{k}{2}[/tex] = - [tex]\frac{1}{2}[/tex] ( multiply both sides by - 1 )

[tex]\frac{k}{2}[/tex] = [tex]\frac{1}{2}[/tex] , thus

k = 1

Is 38 / 53 and simplest form explain? Why t? Or or why not

Answers

yes 38/53 is the simplest form

Step-by-step explanation:

The fraction is already reduced.

Does this given information represent a function?

Answers

B) No; in order for a line to be a function it can’t have 2 points on the same x-value. Where x=3 there are 2 points on that line therefore not making it a function

i need answers now pls asap im going to fail I will pay someone on pay pal

Answers

The next day Patsy have t choose between cheerleading and play practice is 17th September

How to find the next day Patsy will choose between cheerleading and play practice

To solve the problem of calculating the next day Patsy will have the events of cheerleading and school play same day, we find the lowest common multiple of the intervals of the occurrence of the two events

The interval of the events are:

cheerleading - 4th day

school play - 6th day

The Lowest common multiple of 4 and 6 is calculated to be 12

If the two events occurred on 5th September the next will on

= 5 + 12

= 17

The next time to choose between the two will be on 17th September

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Determine if the triangles are similar by Angle-Angle similarity

Answers

The triangles are similar by Angle-Angle similarity since they are congruent.

What is Angle-Angle Similarity?

According to the Angle-Angle Similarity Theorem, if two angles in one triangle are equal to two angles in another triangle, the triangles are similar. The triangles are similar if two pairs of corresponding angles in a pair of triangles are congruent. We know this because if two angle pairs are equal, then the third pair must be equal as well.

Two triangles with two angles, starting with Triangle 1, one measuring 47 degrees and the other measuring 53 degrees, are congruent to two angles in Triangle 2. Following the AA similarity theorem, it is assumed that Triangle 1 is similar to Triangle 2.

In this case, angle MNP = angle QPL (corresponding angles, //lines) (A)

angle QLP is common angle (A)

By AA, the 2 triangles are similar.

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Solve for r in terms of q, s, and r. S=-qtr

Answers

Solving for a Variable in an Equation

To isolate a certain variable in an equation, we must perform inverse operations on both sides of the equal sign to cancel out values.

Solving the Question

[tex]S=-qtr[/tex]

⇒ Right now, r is being multiplied by q and t. Divide both sides by qt to cancel these values out:

[tex]\dfrac{S}{qt}=\dfrac{-qtr}{qt}\\\\\dfrac{S}{qt}=-r[/tex]

⇒ Now, to remove the negative symbol, multiply both sides by -1:

[tex]r=-\dfrac{S}{qt}[/tex]

Answer

[tex]r=-\dfrac{S}{qt}[/tex]

Draw and label a coordinate plane so that the x-axis extends from -9 to 9 and the y-axis
extends from -6 to 6. Represent each of these points with a dot, and label the point using
its letter name.

Answers

The required given Co-ordinates are plotted in graph below.

What are Co-ordinates?

The numbers on a direction lattice are utilized to find focuses. Each point can be recognized by an arranged sets of numbers; that is, a number on the x-axis  called a x-coordinate, and a number on the y-hub called a y-coordinate. Requested matches are written in enclosures (x-coordinate, y-coordinate).

Explain graph.

Graph is characterized as to make an outline that shows a connection between at least two things. An illustration of diagram is to make a progression of bars on charting paper

According to question:

coordinates plane so that the x-axis extends from -9 to 9 and the y-axis

extends from -6 to 6

Plotted points on the graph are shown in image below.

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I need help with number nine please

Answers

On #9:

Slope-intercept form is y = mx + b

Based on the graph, the slope is -4/3 and the y-intercept is (0,0).

The answer is y = –4/3 x.

You could add "+0" at the end to have y = –4/3 x +0, but since adding 0 doesn't change it, it's usually left off.

Answer:

y = -4/3x + 0 or just y = -4/3

Step-by-step explanation:

you just find the slope by doing rise over run, and find the y-intercept by looking at what number the line hits on the y-axis.

Solve 3+8X+6 = 5(X+2) + 3X-1

Answers

Answer: x= (−∞,∞)

Step-by-step explanation:

3+8x+6 = 5(x+2) + 3x-1

9+ 8x = 5x +10 + 3x -1

9 + 8x = 8x +9

Subtract nine on both sides

8x= 8x

 x = Any number!

slope of (-3,-2) and (-1,-5)

Answers

Answer: Slope of [tex](-3, -2)[/tex] and [tex](-1, -5)[/tex] is [tex]-1.5[/tex].

Step-by-step explanation:

The slope of a line is given by, [tex]m=\frac{y_2-y_1{} }{x_2-x_1}[/tex]

Here we have,

[tex](x_{1}, y_{1}) = (-3, -2)[/tex] and [tex](x_{2}, y_{2}) = (-1, -5)[/tex]

Now put the known values in the slope formula we get,

[tex]m=\frac{(-5) -(-2) {} }{(-1) -(-3)}[/tex]

   [tex]m=\frac{(-3) {} }{2}[/tex]

Slope (m) = 1.5

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if my grade is a 92.30% and i got 70% on something that counted for 20% of my grade, what would the final grade be?

Answers

If you got a score of 90 percent on the test and the test is worth 20 percent of your overall grade, you would multiply 90 by 0.2 for a value of 18 points out of the possible 20 points.

Is 70 percent a failing grade?

The standard range for grades is 55 to 100. As seen in the chart below, number grades correspond to letter grades. The required passing score is 70. (C). Failure grades are any grades between 55 and 69 (D and F), for which no unit credit is granted.

A Passed grade requires a C or higher; a C- or worse results in a Not Passed mark. Many prerequisites (such as those for General Education and Electives) may be satisfied by a grade of C-, but neither credit nor requirements will be satisfied by a grade of Not Passed.

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Find the measure of each acute angle in a right triangle where the measure of one acute angle is 8 times the measure of the other acute angle

Answers

The measure of the acute angles in the right triangle are 10 and 80 degrees.

How to find the angle of a right angle triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sides of a right angle triangle can be named base on the position of the angles. The sides includes hypotenuse side, opposite side and adjacent side.

The sum of angles in a right angle triangle is 180 degrees.  

The other measures of the right triangle are acute angles.

Any angle that measures greater than 0° and less than 90° is called an acute angle.

Hence, let's find the measure of the acute angles

let

x = measure of one acute angle

Hence,

x + 8x + 90 = 180

9x = 180 - 90

9x = 90

x = 90 / 9

x = 10

Therefore, the measure of the acute angles are 10 and 80 degrees.

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*URGENT* I need help with 5,6,7 please answer correctly and quickly

Answers

Answer:

Step-by-step explanation:

(5). ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )  

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~~

( 4 , 8 )

y = [tex]\frac{1}{7}[/tex] x - 5 ; slope m = [tex]\frac{1}{7}[/tex]

Slope of line ⊥ to the given line is opposite reciprocal to [tex]\frac{1}{7}[/tex] and equal to ( - 7)

y - 8 = - 7( x - 4 )

(6).  

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{ y_{2} -y_{1} }{ x_{2} -x_{1} }[/tex]

y = mx + b

~~~~~~~~~~~~

( 4 , 3 )

( 5 , 1 )

m = [tex]\frac{1-3}{5-4}[/tex] = - 2

y - 3 = - 2( x - 4 )

y = - 2x + 11

(7). y = - [tex]\frac{1}{2}[/tex] x + 2

............. i need help past due

Answers

The unit rate in acres of land planned by the workers per day is found is 16/35 acres.

What is meant by rate of doing work?Power refers to the rate of work completion. It is a measure of how much energy is used up each unit of time. The joule per second (J/s) is the unit of power in the SI system.Force applied across a distance is called work. Examples such work include dragging down a confined helium balloon, driving a vehicle up a steep hill, and lifting an article against the gravitational attraction of the Earth. Energy manifests mechanically as work.

For the mentioned question-

Total acres of land planted = 2/5 acres.

Total time taken = 7/8 days.

Thus, unit rate in acres per day = Total acres of land planted / Total time taken

unit rate in acres per day = (2/5) / (7/8)

unit rate in acres per day = (2*8)/(5*7)

unit rate in acres per day = 16/35

Thus, unit rate in acres of land planned by the workers per day is found is 16/35 acres.

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There were 234 roses growing in the back garden. If 50% of the roses were red. How many were not red?

Answers

Answer:117

Step-by-step explanation:

I’m good at math

Answer:

117 Roses

Step-by-step explanation:

234 *0.5 = 117

NOT MANY POINTS BUT I NEED HELP ON MY FINAL

Answers

A linear pair's total angles are always equal to 180°. Hence ∠ HJL is 94°

What is a Linear Pair of Angles?When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.Those two neighboring angles whose sum is 180° are referred to as a linear pair of angles. They are represented by a ray that serves as a common arm between the angles and is drawn on a straight line.The name "linear" comes from the standard illustration of a linear function in one dimension: a line drawn through the origin

given

∠HJL and  ∠LJK are linear pair

∠ HJL = ?

∠HJL +  ∠JLK =180

x + x -8 = 180

2x -8 =180

x = 188/ 2 = 94°

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The number of students in attendance since 2000 at Lamar Community College can be represented by the equation below, where x equals the time in years after 2000. S(x) = (x - 50)² + 19 The college creates a graph to better view the decreases and increases in attendance. Which of the following describes the end behavior of their graph? O A. As x approaches positive infinity, S(x) remains constant. OB. As x approaches positive infinity, S(x) approaches positive infinity. OC. As x approaches positive infinity, S(x) approaches zero. OD. As x approaches positive infinity, S(x) approaches negative infinity.​

Answers

As domain x approaches positive infinity, S(x) approaches positive infinity. Option B is correct.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Given expression for the attendance of the student is,
S(x) = (x - 50)² + 19

The end behavior of their graph is given as after x = 50 the graph starts heigh increasing gradient and it keeps increasing, till x =  infinity, as shown in the graph.

Thus, the curve of the given equation S(x) will increase from x = 50 to x = ∞ .

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Five times a number increased by 5 is equal to 25, find the number.

Answers

Answer: the number is 4

Step-by-step explanation:

5x+5=25 is the equation

solve for x by isolating x

5x+5-5=25-5

5x=20

divide both sides by 5 to isolate x

x=4

Answer: 4

Step-by-step explanation:

5x + 5 = 25 this is what the equation is!

Then we subtract 5 on both side

5x = 20

Then divided by 5 on both side

x= 4

Write an equation of the line that passes through the point (1, 4) and has a slope of -2
WIth point- intercept form

Answers

The equation of the line that passes through the point (1, 4) and has a slope of -2 is y = -2x + 6

What is slope-intercept form of a line?

The equation of the line in slope-intercept form is given by:

y = mx + c

Here,

(x, y) = Every point on the line

m = Slope of the line

c = y-intercept of the line

According to the given question:

The given line has slope m = -2 and point (1, 4) passes through the line.

By slope-intercept form general equation of line is y = mx + b where b is

y-intercept.

Substituting values of m and point (1, 4) in this equation to get value of b

y = mx + b

4 = -2(1) + b

b = 6

Hence equation of the line is y = -2x + 6

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(a) Write 7.97 x 10 ^-6 as an ordinary number.

Answers

Answer:

0.00000797

Step-by-step explanation:

slope of the line that passes through (10, 4) and (5, 13). as a integer

Answers

The slope of the line that connects (10,4) and (5,13) is -9/5.

What is a slope?The slope of a line indicates its steepness. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Here given,

The two points are (10,4) and (5,13).

We have to find the slope that passes through the given points,

The formula to find slope(m) is,

The slope of the line that passes through (x1 , y1) and (x2,y2) is,

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

By substituting the values in x and y

Slope = 13 - 4 / 5 - 10

          = 9 / -5

Slope = -9/5

          = -1.8

Therefore the slope of line that passes through (10,4) and (5,13) is -9/5.

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Select the correct answer. about 1,500,000 bacteria are found in 1 milliliter of water of coastal ocean. how many bacteria will be there in 100 milliliters of water? a. 1.5 × 104 b. 1.5 × 105 c. 1.5 × 106 d. 1.5 × 107 e. 1.5 × 108

Answers

The amount of bacteria that will be there in 100 milliliters of water will be: 1.5 × 10⁸.

What is standard notation?

A standard notation is a method of writing a given number, equation, or expression in a specific format that adheres to certain rules. 4.5 billion years, for example, is written as 4,500,000,000 years.

The main reason for converting numbers to scientific notation is to make calculations involving unusually large or small numbers easier.

Even though zeros are no longer always seemed to set the decimal point, all digits in a scientific notation number are significant.

Here, it is given that,

The number of bacteria found in  1 milliliter of water = 1,500,000.

So,

The number of bacteria in 100 milliliters of water = 1,500,000 x 100

The number of bacteria in 100 milliliters of water = 15,00,00,000

The number of bacteria in 100 milliliters of water = 1.5 × 10⁸.

Correct option: e

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The volume of water in a rectangular, in-ground, swimming pool is given by V(x ) =x3 + 11x2 + 24x where V (x) is the volume in cubic feet when the water is x ft high
What is the dimension of the base of the pool? (a) x + 3 and x + 8 (b) x + 4 and x + 7 (c) x + 4 and x + 8(d) x + 3 and x + 7 What is the volume of the pool when x = 3 ft?
(a) 298 ft3 (b) 148 ft3 (c) 268 ft3 (d) 198 ft3
If the volume is 100 ft3 of water, what is the height x ? (a) 2 ft (b) 3 ft (c) 4 ft (d) 5 ft
If the maximum capacity of the pool is 520 ft3 what is the maximum depth? (a) 2 ft (b) 3 ft (c) 4 ft (d) 5 ft

Answers

1) The dimension of the base of the pool is; (x + 3) and (x + 8)

2) The volume of the pool when x = 3 ft is;  198 ft³

3) If the volume is 100 ft³ of water, the height x is; 2 ft

4) If the maximum capacity of the pool is 520 ft³, the maximum depth is; 5 ft

How to find the volume of a cuboid?

We are given that the volume of water in a rectangular, in-ground, swimming pool is; V(x) = x³ + 11x² + 24x

where;

V(x) is the volume in cubic feet when the water is x ft high

1) V(x ) =x³ + 11x³ + 24x

V(x) is the volume in cubic feet when the water is x ft high

Factorizing the polynomial into its' factors gives;

V(x) = x(x² + 11x + 24)

V(x) = x(x + 8)(x + 3)

The water is x ft high and so the dimensions of the base of the pool are (x + 3) and (x + 8)

2) We want to find the volume of the pool when x = 3 ft. Thus;

V(3) = 3(3 + 8)(3 + 3)

V(3) = 3 (11)(6)

V(3) = 198 ft³

3) If the volume is 100 ft³ of water, the height x is calculated as;

x(x + 8)(x + 3) = 100

Solving for x gives us;

x = 2 ft

4) If maximum capacity of the pool is 520 ft³, then the maximum depth is;

x(x + 8)(x + 3) = 520

Solving for x gives us;

x = 5 ft

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what is a platform used to provide telephony, video, and web conferences that can serve as an entry point to a threat actor? nevertheless, i insist that the object of all true education is not to make men carpenters, it is to make carpenters men An object of 20 kg accelerates at 10 m/s/s into a wall. What amount of force did it hit the wall? Four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. Here is their willingness to pay for each film: Within the dorm room, the showing of a movie (is not or is) a public good.If it costs $12 to rent a movie, the roommates should rentmovies in order to maximize the total surplus.Suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally.This means that each roommate will pay ____ Question: Fill in the blanks below with a conjugated verb from the story.Use this to help you answer!use this to help ( your not suppose to translate you have to find the conjugated verb from below to help you with the questions on the image )Hay un chico. l se llama PabloPablo est aburrido l quiere hacer algo, pero qu?Qu quiere hacer Pablo?Pablo decide ( caminar ) al parqueEn su ruta, l pasa mucha gentel pasa por un restaurante un hombre cocina tacos.l pasa por una tienda. En la tienda una chica compra las sandalias l pasa una parada de autobs una mujer y tres chicos esperanel autobsPablo pasa por la piscina. En la piscina muchos chicos y chicas nadan l pasa por una escuela En la escuela los profesores enseanFinalmente Pablo llega al parque. En el parque Pablo ve a sus amigosactive attachment if p(e)=0.47 find the odds in favor of e Fill the missing fraction.Z - 1 1/2 = 1 1/2 Given: BCD is right; BC DC; DF BF; FA FETriangles A C D and E C B overlap and intersect at point F. Point B of triangle E C B is on side A C of triangle A C D. Point D of triangle A C D is on side C E of triangle E C D. Line segments B C and C D are congruent. Line segments B F and F D are congruent. Line segments A F and F E are congruent. Which relationships in the diagram are true? Select three options.ACF ECF by HLCBF CDF by SSSBFA DFE by SASCFD EFD by SSSCBE CDA by HLSAS Which of the following is the best explanation of why it is difficult to discriminate the color of an object at night?Rods contain a single kind of visual pigment.Cones come in three types, each sensitive to different wavelengths of light.The foveae are densely packed with cones.As many as 100 cones may converge on one ganglion cell. The production costs, P, for a band to have a concert can be modeled by the equation P=850 + 5x. where X is the number of concert tickets sold. The band earns $50 for each ticket sold. The band's goal is for the amount earned on ticket sales minus production costs to equal $5,000 per concert. How many tickets does the band have to sell for each concert to meet the goal? It's Pre-calculus subject The days become shorter, just by a few minutes each day. Many tree and shrub leaves begin changing from green to their autumn colors,ever so slightly.transition to create coherence (10)Write the equationof the line inSlope-InterceptForm. QuestionDrag each part of a cover letter to its description.TilesopeningbodyclosingPairsrequests an interview and provides contact informationarrowBoth states how the sender learned about the job andthe position for which the sender is applyingarrowBoth informs the employer of the senders qualifications,emphasizing skills and experiencearrowBoth please help i need to turn in tomorrow when the philies play the dodgers, the tickets for three adults and three children are $75. for two adults and four children the total admission cost is $62. find the cost of each adult and each child ticket. What is the equation of the blue line 3. Write a definition for each of the following: a. Syncline b. Anticline c. Ridge and valley province describe what occurs when a solution forms including which interactions are broken and which interactions are formed the president of a country has dedicated the bulk of the countrys military power to an invasion of a neighboring country. for a time, the war seems to be going his way. then the enemy begins to take the offensive, conducting massive encircling movements, taking tens of thousands of prisoners, and forcing whole divisions into retreat. still the president presses on, ordering more troops to the front, in spite of protests from his generals. this is known as:____.