What are elliptic and hyperbolic geometries? Why were they developed?

Answers

Answer 1

The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.

The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.

These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.

The key fact that makes elliptic and hyperbolic geometries different from Euclidean geometry is the consideration of curvature in spaces.

In this case, Euclidean geometry considers only spaces with no curvatures, whereas elliptic geometry considers spaces with a constant negative curvature and hyperbolic geometry makes with spaces with a constant positive curvature.

The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.

The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.

These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.

We kindly invite to check this question on non-Euclidean geometry: https://brainly.com/question/16972917


Related Questions

Given that E is the universal set and that A and B are subsets of E. simplify An(B-A)​

Answers

Answer:

Answer a h bro ok bye bro good luck

need help asap plz!!!!!

Answers

Answer:

Step-by-step explanation:

In the simplest way, the domain of a function is basically all of the possible values of the input variable or x-axis in a graph. While the range of a function would be all of the real possible outputs that the function can create. In a graph this would be all of the possible values for the y-axis. For example, in the following function...

y = 4x + 3

The domain of this function would be any and all values for x, while the range of the function would be any and all values that the function can output for y.

f(x) = 4x² + 3x - 2 g(x) = 6x³ - 3x²-4 Find (f +g) (x)​

Answers

Answer:

6x^3+x^2+3x-6

Step-by-step explanation:

f(x) = 4x² + 3x - 2

g(x) = 6x³ - 3x²-4

(f +g) (x)​ =4x² + 3x - 2+6x³ - 3x²-4

Combine like terms

             =6x^3+4x^2-3x^2+3x-2-4

             =6x^3+x^2+3x-6

Please look below and answer (No links) please explain. I will give brainiest

Answers

Okay So the Y intercept is 4 because the line passes through the y-axis and makes contact at 4. The Slope is 1/2 because You go down 1 and over 2 to get to the next point the connects to the next corner so the Slope Intercept Equation is Y=1/2x + 4

Answer:

The slope is 1/2 because for every y value that it goes down, the x value goes down by 2. The y-intercept is 4 because when x is 0, y is equal to 4.

How much would the combined production of pineapples increase for the two islands due to trade? How much would the combined production of pearls increase?

Answers

Step-by-step explanation:

find the coordinate of the foot of the perpendicular from(4,-2) to the line 2x-3y-4=0

The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. (a) What is the probability that there are no major cracks in a 10-mile stretch of the highway

Answers

Answer:

[tex]P(Y=0) = 0.1353[/tex]

Step-by-step explanation:

From the question we are told that:

Exponential distribution mean [tex]\=x = 5 miles[/tex]

Distance [tex]d=10miles[/tex]

Generally the equation for Exponential distribution is mathematically given by

 [tex]\lambda=\frac{1}{E(X)}[/tex]

 [tex]\lambda=\frac{1}{5}[/tex]

Therefore

Possion Y

 [tex]10\lambda=10*(1/5)[/tex]

 [tex]10\lambda=2[/tex]

Generally the equation for  The probability that there are no major cracks in a 10 mile stretch of the highway is mathematically given by

 [tex]P(Y=0) = \frac{e-2 (2)0}{0!}[/tex]

 [tex]P(Y=0) = e-2[/tex]

 [tex]P(Y=0) = 0.1353[/tex]

One kilogram equals 2.2 pounds. If a paitent weighs 79.5kg, his weight is what in pounds?

Answers

Answer:

174.9

Step-by-step explanation:

since 1 kg is 2.2 lbs

79.5 times 2.2

they weight 174.9 lbs

Answer:

174.9 pounds

Step-by-step explanation:

Create a proportion where x is his weight in pounds:

[tex]\frac{1}{2.2}[/tex] = [tex]\frac{79.5}{x}[/tex]

Cross multiply:

x = 79.5(2.2)

x = 174.9

So, his weight in pounds is 174.9 pounds


1
2
3
VX
Which is a unit rate?
4 dollars
3 cans
5 students
2 teachers
6 hours 1 book
O 3 mies 2 days

Answers

Answer:

6 hours to 1 book

Step-by-step explanation:

Which is a unit rate?

4 dollars to 3 cans

5 students to 2 teachers

6 hours to 1 book

3 miles to 2 days

A unit rate is a rate of a number to 1. The second number must be 1. The only unit rate is 6 hours to 1 book.

Answer: 6 hours to 1 book

4x - 3(2x - y) if x = and y = 4.

Help me pls

Answers

Answer:

[tex]=0[/tex]

Step-by-step explanation:

Given:

[tex]4x-3(2x-y)[/tex]

Let's substitute for y

[tex]4x-3(2x-4)=0[/tex]

Let's distribute the parenthesis

[tex]4x-6x+12=0[/tex]

Combine like terms

[tex]-2x+12=0[/tex]

Subtract 12 from both sides

[tex]-2x=-12[/tex]

divide both sides by -2

[tex]x=6[/tex]

Now let's insert 6 for the [tex]x[/tex] and 4 for the [tex]y\\[/tex]

[tex]24-3(12-4)=[/tex]

[tex]24-3(8)=[/tex]

[tex]24-24=0[/tex]

Hope this helps

Answer: The x = -1

Step-by-step explanation:    I just looked it up on line.

What is the value ofWhat is the value of the missing angle?

A
20

B
90

C
120

D
100 the missing angle? A 20 B 90 C 120 D 100

Answers

Answer:

The missing angle is 120

Step-by-step explanation:

Given

See attachment

Required

The missing angle (?)

Let the missing angle be x

So:

[tex]x + 60 = 180[/tex] --- angle on a straight line

Collect like terms

[tex]x = 180-60[/tex]

[tex]x = 120[/tex]

Consider the following sample data: x 12 18 20 22 25 y 15 20 25 22 27 Click here for the Excel Data File a. Calculate the covariance between the variables. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

Answers

Answer:

The covariance between the variables is 21.10 and the Correlation coefficient is 0.9285.

Step-by-step explanation:

Hence,

PLEASE HELP ASAP!!
Q: Use the graph of f below. Assume the entire function is graphed below. Find where f(x)<0.
(graph and answers pictured.)

Answers

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

We have to find the interval in which the function is less than zero or negative.

Value of the function are along the y-axis and negative value of the function means negative side of the y-axis.

In the graph, function is below the x-axis in the interval x > 4 and x = 6 only.

Therefore, in the interval (4, 6] function f(x) < 0.

Option (4) is the correct option.

Khanacademy Unit:Sequences
What does g(2)=?

Answers

Answer:

g(2) = -42

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Algebra II

Sequences

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \left \{ {{g(1) = 50} \atop {g(n) = 8 - g(n - 1)}} \right.[/tex]

Step 2: Evaluate

Substitute in x [Function g(n)]:                                                                         g(2) = 8 - g(2 - 1)(Parenthesis) Subtract:                                                                                     g(2) = 8 - g(1)Substitute in function value:                                                                             g(2) = 8 - 50Subtract:                                                                                                            g(2) = -42

pls help!!!
show your work!!!!
simplify the expression. ^4sqrt(64y^12z^16)

Answers

Answer: on the outside its 2y^3z^4 with the inside being 2

Step-by-step explanation:

The expression equals 2y^3z^4sqrt2

Answer:

2 square root 2 y^3 z^4 ( SEE IMAGE BELOW)

Step-by-step explanation:

Simplify the radical expression

2 square root 2 y^3 z^4

reduce the index of the radicel and expondent with 2

2 square root 2 y^3 z^4

Một đề thi trắc nghiệm có 10 câu, mỗi câu có 4 phương án trả lời và chỉ có một đáp án đúng. Một sinh viên trả lời một cách ngẫu nhiên, xác suất để sinh viên được 5 điểm là

Answers

Câu trả lời:

0,0584

Giải thích từng bước:

Câu hỏi đưa ra đáp ứng điều kiện cần thiết cho phân phối xác suất nhị thức:

Số câu hỏi, số lần thử, n = 10

Xác suất, p = 1 / số lựa chọn = 1/4 = 0,25

q = 1 - p = 1 - 0,25 = 0,75

Tính xác suất để sinh viên đó được 5 điểm, x = 5;

Gợi lại:

P (x = x) = nCx * p ^ x * q ^ (n-x)

P (x = 5) = 10C5 * 0,25 ^ 5 * 0,75 ^ 5

P (x = 5) = 252 * 0,25 ^ 5 * 0,75 ^ 5

P (x = 5) = 0,0584

What is the distance between [(3 + 4i) + (2 - 3i)] and (9 - 2i)?

Answers

Answer:

5

Step-by-step explanation:

(3 + 4i) + (2 - 3i) = 3 + 4i + 2 - 3i = 5 + i

distance between (5 + i) and (9 - 2i) is the difference between them. and difference means subtraction.

(9 - 2i) - (5 + i) = 9 - 2i - 5 - i = 4 - 3i

and since we are looking for a distance, we are looking for the absolute value of that subtraction.

after all, we could have done the subtraction also in the other direction

(5 + i) - (9 - 2i) = -4 + 3i

and this must be the same distance.

|(-4 + 3i)| = |(4 - 3i)|

and that is done by calculating the distance of any of these 2 points from (0,0) on the coordinate grid of complex numbers.

|(a +bi)| = sqrt(a² + b²)

in our case here

distance = sqrt(4² + (-3)²) = sqrt(16 + 9) = sqrt(25) = 5

as you can easily see, this is (as expected) the same for the result of the subtraction in the other direction :

sqrt((-4)² + 3²) = sqrt(16+9) = sqrt(25) = 5

G.1.- Una Recta contiene los puntos (-3,7)
y (9,-5) Calcule la ecuación de la recta en la
FORma y=mxtb. Explicar los pasos

Answers

Given:

A line passes through the points (-3,7) and (9,-5).

To find:

The equation of the line in the form of [tex]y=mx+b[/tex].

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

A line passes through the points (-3,7) and (9,-5). So, the equation of the given line is:

[tex]y-7=\dfrac{-5-7}{9-(-3)}(x-(-3))[/tex]

[tex]y-7=\dfrac{-5-7}{9+3}(x+3)[/tex]

[tex]y-7=\dfrac{-12}{12}(x+3)[/tex]

[tex]y-7=-1(x+3)[/tex]

On further simplification, we get

[tex]y-7=-x-3[/tex]

[tex]y-7+7=-x-3+7[/tex]

[tex]y=-x+4[/tex]

Therefore, the equation of the required line is [tex]y=-x+4[/tex].

The function h(x) is a transformation of the square root parent function,
f(x) = V2. What function is h(x)?

Answers

Answer:

[tex]h(x) = \sqrt{x+5}[/tex], option C.

Step-by-step explanation:

The parent function is [tex]f(x) = \sqrt{x}[/tex]

Function h:

Function h is function f shifted left 5 units.

Shifting a function f a units to the left is the same as finding [tex]f(x+a)[/tex]

Thus:

[tex]h(x) = f(x+5) = \sqrt{x+5}[/tex]

The function is [tex]h(x) = \sqrt{x+5}[/tex], and thus, the correct answer is given by option C.

Answer:

          c        

Step-by-step explanation:

What the cubic inches…

Answers

Step-by-step explanation:

The radius r is 5 in (r = D/2). so the volume V of the beach ball is

[tex]V= \dfrac{4 \pi}{3}r^3 = \dfrac{4 \pi}{3}(5\:\text{in})^3[/tex]

[tex]\:\:\:\:\:= 523.6\:\text{in}^3[/tex]

pls help! show your work!
(3sqrt4)/(3sqrt5)

Answers

Answer:

3sqaure root 100/5

Step-by-step explanation:

It would look like this picture Below

Oakton Manufacturing makes two types of rocking chairs specifically designed for men and women known as the His and Hers models. Each chair requires four legs and two rockers but differing numbers of wooden dowels. Each His chair requires four short dowels and eight long dowels while each Hers chair requires eight short dowels and four long dowels. Each His chair contributes $10 in profit while each Hers chair contributes $12. The company has 900 legs, 400 rockers, 1200 short dowels, and 1056 long dowels available. The company wants to maximize its profit while also ensuring that it makes at least half as many His chairs as Hers chairs.

Required:
a. Formulate an LP model for this problem.
b. Sketch the feasible region for this problem.
c. Find the optimal solution.

Answers

Answer:

x  =  76    y  =  112     z (max)  =  2104 $

Step-by-step explanation:

                               legs    rockers    short dowels     long dowels  Profit $

Model His (x)           4           2                   4                          8                10

Model Her (y)           4          2                    8                          4                12

Availability             900      400              1200                    1056

From the table above we find z

Objective Function z :

z  =  10*x  +  12*y    to maximize

Subject to

Constraint  1  quantity of legs available: 900

4*x +4*y ≤ 900

Constraint  2  quantity of rockers available:  400

2*x +  2*y  ≤ 400

Constraint  3  quantity of short dowels available: 1200

4*x  8*y  ≤  1200

Constraint  4  quantity of long dowels available: 1056

8*x  +  4*y  ≤ 1056

Constraint 5 condition between  x  and y

x  ≥  0.5*y

The model:

z  =  10*x  +  12*y    to maximize

Subject to:

4*x +4*y ≤ 900

2*x +  2*y  ≤ 400

4*x  8*y  ≤  1200

8*x  +  4*y  ≤ 1056

x  ≥  0.5*y        or    x  - 0.5*y ≥ 0

General constraints:

x  ≥ 0   y  ≥ 0  both integers

After 6 iterations with AtomZmath on-line solver optimal solution is:

x  =  76    y  =  112     z (max)  =  2104 $

Starting at a train station, Train A goes toward its destination to the right by 600
miles, and Train B goes to the left by 500 miles. Which of the following signed
numbers best represents Train A's direction and distance toward its destination?
A.-600
B.-500
C.500
D.600

Answers

9514 1404 393

Answer:

  D.  600

Step-by-step explanation:

On a number line, positive numbers increase to the right. 600 to the right would be considered to be +600, choice D.

Given a line passes through point (5,8) and the origin, find the equation of the line.
y=

Answers

Answer:

y = 8/5x

Step-by-step explanation:

I'm assuming that they're asking for the equation in point-slope form.

The formula is y=mx+b where:

m = slope

b = y intercept

However, the y intercept is just (0,0) so b = 0

To find the slope we already have 2 given points: (0,0) and (5,8)

To find slope you do rise/run and you get 8/5

Substitute the slope & y intercept in the formula:

y = 8/5x

Let me know if I'm wrong!!

Answer:

y=8/5x

Step-by-step explanation:

Hi there!

We need to find the equation of the line that passes through (5,8) and the origin (the point (0,0)).

There are 3 ways to write the equation of the line, although the most common way is slope-intercept form, or y=mx+b where m is the slope and b is the y intercept

first, let's find m (slope)

The formula for the slope calculated from two points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points

we have two points, but let's label their values to avoid any confusion

[tex]x_{1}[/tex]=5

[tex]y_{1}[/tex]=8

[tex]x_{2}[/tex]=0

[tex]y_{2}[/tex]=0

now substitute into the formula

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

m=[tex]\frac{0-8}{0-5}[/tex]

multiply

m=[tex]\frac{-8}{-5}[/tex]

divide

m=8/5

The slope of the line is 8/5

here's the equation so far

y=8/5x+b

now we need to find b

as the point will pass through both (5,8) and (0,0) we can use either one of them to solve for b

let's take (0,0) as an example

substitute 0 as x and 0 as y

0=8/5(0)+b

multiply

0=0+b

add

0=b

substitute 0 as b into the equation

Therefore the equation of the line is:

y=8/5x (the 0 is not necessary)

Hope this helps! :)

Tích các nghiệm của phương trình Log(x-1)²=2 là

Answers

Answer:

-99

Step-by-step explanation:

Log(x-1)²=2

Log(x-1)²=Log(100)

(x-1)²=100

x-1=10 and x-1=-10

x₁=11     and x₂=-9

x₁ × x₂ = 11 × (-9) = -99

Find the value of x for which a || b.

Answers

Answer:

x = 35

Step-by-step explanation:

x and 3x+40 are same side interior angles and same side interior angles are supplementary when the lines are parallel

x + 3x+40 = 180

Combine like terms

4x+40 =180

4x = 180-40

4x = 140

Divide by 4

4x/4 = 140/4

x = 35

Answer and Step-by-step explanation:

To solve for x, we add together the angles, and equal it to 180.

This is because the angles shown are same side interior angles, and add up to 180 degrees.

x + 3x + 40 = 180

Subtract 40 and combine like terms.

4x = 140

Divide 4 from both sides of the equation.

x = [tex]35[/tex]

The value of x is 35.

#teamtrees #PAW (Plant And Water)

The graph below does not represent a function. Explain why.

Answers

Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.

The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).

A function is only possible when any given input leads to exactly one output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.

In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.

What is the other number to this math equation?

Answers

Answer:

You need to ask yourself what times 20  gives you 600.  Then ask yourself what times 20 gives you 160.  Then that will give you your answer.

Step-by-step explanation:

what is the median of 66 69 68 69 70 70.​

Answers

to answer your question above, the median is 69

Can someone please help me?

Answers

Answer:

B

Step-by-step explanation:

Use a graphing calculator like desmos and youll find the answer

Evaluate the function.
f(x)=2x^2+8x
Find f(−1)
PLease help!


a:-10
b:-6
c:6
d:10

Answers

The answer is d!!!!!

Answer:b

Step-by-step explanation:

Other Questions
Which elements of narrative poetry are reflected in "The Thing about Terry? Select 4 options.The Thing about Terry I should have known better Why didnt I think? I should have asked questions Not left it to fate I walk through the halls Wondering where she is nowMy friend Terry, with hurt feelings, Gone off on her own I gather the crew: Samantha, Kat, Ladan and Dan, Remind them what happened, Ask their help with a plan She just left, I tell them, Turned her wheelchair away We all watched through the window, No one knew what to say The restaurant was perfect Good food galore But there were stairs, and no ramp To get to the door I chased after Terry, Said, Im sorry, I swear! The worst was her answer And her hurt, angry glare Nobody thinks of me, Believe me, my friend, Unless its to pity What sad shape Im in Im tired of caring, of being stuck in this chair Im tired of feeling those awful, blank stares We have to do something I tell the crew, We cant let her feel We dont care when we do The thing about Terry Our friend in the chair Is shes so fun and funny Never shows her despair She has a big mouth Listens well with her ears But I think for a while now Shes been hiding her tears Whats she love most? I ask When all else is said What makes her smile, Gets her up out of bed? Nobody answers We dont seem to know And then I remember From a long time ago Stars, I whisper She showed me one night Knew every constellation Said they made her heart light Ive got it! I grin Ive got just the surprise I rush to tell them, Feeling happy and wise By nightfall were ready Ive talked to Terrys mom Terry wont be home Until our whole deed is done We go in the back door, Then up to her room Paint cans, brushes, A template or two We work four long hours Nervous stomachs a-churn Then sneak into the closet To await her return The door opens at last, She flips on the light Expecting no doubt The usual sight But the lamps have been doused A soft silver shine falls Bright stars fill her eyes From her ceiling and walls Surprise! We shout Leaping into view We wanted to say thanks For all that you do Right over her be The bid dipper gleamsI made it myself To help bring sweet dreams Terrys eyes sparkle As we run to her side And I remember her words The day shed gone off to hide Nobody thinks of me, Believe me, my friend, Unless its to pity What sad shape Im in She may be tired, I think, of being stuck in that chair But tonight our friend Terry is walking on air.A - rhymeB - abstract languageC - rhythmD - free verseE - settingF - stanzas Assume that Nortel manufactures specialty electronic circuitry through a unique photoelectronic process. One of the primary products, Model ZX40, has a standard labor time of 0.5 hour and a standard labor rate of $12.50 per hour. During February, the following activities pertaining to direct labor for ZX40 were recorded: Direct labor hours used 2,230 Direct labor cost $34,000 Units of ZX40 manufactured 4,800Required:a. Determine the labor rate variance.b. Determine the labor efficiency variance.c. Determine the total flexible budget labor cost variance. the muscular tube that connects the mouth cavity to the stomach Question 4 of 10What was the significance of the Sabbath for early followers of Judaism?A. God set aside the Sabbath as a day reserved for worship.B. God allowed the Israelites to pray to idols only on the Sabbath.C. The Sabbath marked the beginning of a festival in the GreatTempleD. The Sabbath commemorated the exodus of the Israelites fromslavery in EgyptSUBMITPREVIOUS Dear Basketball" by Kobe Bryant Analysis+Kobe says that basketball "asked for his hustle", but he "gave his heart because it came with so muchmore". What could his heart give to the game of basketball that his hustle could not? Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not? plsssss help meeee ....i need the answerrrr Diane has $814 in her checking account. If she writes five checks for a total of $287, how much does she have leftin her account? Helpppppp I need help AsapIt costs $8 to sign up for a music download service and $0.75 to download each song. Jada signs up for the service and begins downloading music. 1. Complete the table showing how Jada can spend money downloading songs. 2. Write an equation relating the number of individual songs, s, Jada downloads and the amount of money, m, Jada spends. HELP PLEASE I HAVE 15 MINS LEFTIn AABC median AM is drawn from vertex A to BC, BM = 14x and MC = 6x + 56. Determine andstate the value of x. According to the National Beer Wholesalers Association, U.S. consumers 21 years and older consumed 26.9 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses:H, :< 26.9 Ha : > 26.9a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?b. What is the Type I error in this situation? What are the consequences of making this error?c. What is the Type II error in this situation? What are the consequences of making this error? the coordinates of three vertices of a rectangle are -2, 3, -2, -1, and 3, -1. what are the coordinates of the fourth vertex pamaWhat is the denotation of the word desperate?in need oforkersnewlyO excited aboutoverlooked foro interested in 5. I promise that I this secret to anyone (not tell) if 4 gallons of milk cost $11, how much would 7 gallons cost? Helppp.||..,,,;; what is a Businesses favor: Monday 11 June, 2021Homework 3o What is self-identity ? A large HMO has teamed up with several other large HMOs to study falls and footwear. The investigator proposes to review 5,000 medical records across 10 institutions of individuals injured during the last three years from a fall, so he has enough power to detect whether there is a greater number of falls among people who wear clogs. Because individuals wear so many different types of shoes, he will need to review a large number of records to find those few individuals who fit this category. From the medical records, he plans to extract the type of shoe the individuals wear. Which of the following is likely to be the level of review?a. expedited review required, as the study presents no greater than minimal risk but involves the use of medical records that contain sensitive informationb. full IRB review because the study exposes subjects to greater than minimal risk because the use of private information from multiple institutionsc. exempt as the study presents no greater than minimal risk and does not collect identifying information Which equation has the least steep graph A. y = 2x + 1 B. y = -7x-2 C. y=-3/4x-9 D. y = 1/4x+6