What is the difference between formal and informal geometry

Answers

Answer 1

Answer:

There is a sub-field of geometry called formal geometry which is related to algebraic geometry and deals with topics such as formal schemes , topological rings , the comparison theorem in algebraic geometry , the Grothendieck existence theorem.

Informal geometry have the topics of definitions, measurements, and constructions of geometric shapes and figures. No attention to formal proofs is given. Subtopics include points, lines, angles, triangles, quadrilaterals, circles, area, and perimeter.

Step-by-step explanation:


Related Questions

71, X
The symbol U represents the union of two sets. What do you think the
notation represents?

Answers

It could represent Range or domain

Simplify by combining like terms. Type the terms in alphabetical order. 6x-2+9y-3y-3x=

Answers

Answer:

3x + 6y - 2

Step-by-step explanation:

6x - 2 + 9y - 3y - 3x = 6x - 3x + 9y - 3y - 2 = 3x + 6y - 2

3. What is 3(x-7) equivalent to?​

Answers

Answer:

3x-21

Step-by-step explanation:

3(x-7)  you must do distributive property

3x - 21

in 1993 wiley post flew around the world in 7 days, 18 hours. wileys trip would be best described as flying around the -------- of the world?

Answers

he flew the circumference of the world

3х – 13 = 23
Please give an explanation to the answer

Answers

Answer:

x = 12

Step-by-step explanation:

3x - 13 = 23

Bring non-variable numbers to other side:

3x = 36

Divide both sides by 3:

x = 12

Answer:

x = 12

Step-by-step explanation:

This equation is very easy to solve.

3x - 13 = 23 Add 13 to both sides of the equation.

3x = 36 Divide by 3 on both sides of the equation.

x = 12

Then, check your answer by substituting the solved value.

3(12) - 13 = 23

36 - 13 = 23

23 = 23

Therefore, x = 12 is the solution to the equation.

Graph h(x) = 4|x + 4|+3.

Answers

Answer:

Use a graphing calculator.

Step-by-step explanation:

Use at least 3 points to graph.

Use a graphing calculator

y’all i’m stuck on this problem i don’t know what equations belong to the graph

Answers

Answer:

5x-2y=7

Step-by-step explanation:

Here's a tip: The subtraction symbol in the equation indicates that the line on the graph is slanted to the right; /

And an addition symbol in an equation like this indicates that the line on the graph is slanted to the left; \

This tip will make better sense with simple equations like the ones in the picture or y = mx+b equations.

Answer:

5x-2y=7

Step-by-step explanation:

5x-2y=7

when x=0,then -2y=7,  y=-7/2

when y=0,  5x=7, x=7/5

You and your friend are debating between two different places to buy pizza for dinner. Place A charges $11 for a cheese pizza and $1.50 per topping. Place B charges $12.50 for a cheese pizza and $1.00 per topping. How many toppings would you have to buy for the price to be the same from both pizza places? You would have to buy how many toppings.​

Answers

You would have to buy 3 toppings. At 3 toppings both pizzas would be at 15.50.

If you reflect the segment with endpoints (3,2) and (-4, 3) across the line y=-X,
what are the coordinates of the new points? *
help plz

Answers

Greetings from Brasil...

Here is the graphical explanation in the annex.

A = (-4; 3)

B = (3; 2)

(segment BLUE)

After reflection on F(X) we will get the segment GREEN

note that the length M = M and N = N

A' = (-3; 4)  B' = (-2; -3)

factor out the GCF: 12+24x

Answers

Step-by-step explanation:

I hope this is the right answer

Answer:

Step-by-step explanation:

Factorize 12 and 24

12 = 2 * 2 * 3

24 = 2 * 2 * 2 * 3

GCF = 2 * 2 * 3 = 12

12 + 24x = 12*1 + 12 * 2 *x

             = 12*(1 + 2x)

Ezequiel's Biology marks are 8.3, 6.8 and 9.4 out of 10. His final grade in Biology is the mean of these three marks. b Calculate the final grade that Ezequiel found. ​

Answers

Step-by-step explanation:

The mean is the average.

(8.3 + 6.8 + 9.4) / 3

≈ 8.2

I NEED THIS ANSWER BY TONIGHT!!!! How many gallons of a 90% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 80% antifreeze? Use the six-step method.

Answers

Answer:

Solution : 600 gallons

Step-by-step explanation:

Let's say that x is the gallons of 90% antifreeze solution. Let's start by converting each percent to decimal form.

90% = 0.9

20% = 0.2

80% = 0.8

Knowing that we have the following set up,

0.9(x) + 0.2(100) = 0.8(x + 100) ⇒ 0.8 is associated with " x + 100 " as it is a mixture of the gallons of the 90% antifreeze solution, and the gallons of the 20% antifreeze solution

We can solve for x in this equation, and receive our solution. This is represented by the following attachment. It proves that there are 600 gallons of the 90% antifreeze solution.

Frank buys p pounds of oranges for $2.29 per
pound and the same number of pounds of apples
for $1.69 per pound.
a. What do the coefficients represent?
ہم
b. What do the terms represent?

Answers

First let's translate these words algebraically and form an equation:

Let oranges be x and apples be y, [tex]2.29x+1.69y[/tex]

a. coefficients are the constants multiplied by the variable, they represent the price of both oranges and apples.

b. I am assuming that the terms here represent how much he paid for the pounds of oranges and apples he bought in total.

can someone help me write a conclusion paragraph? i wrote an essay on why masks and social distancing were effective and I can't think of what to write for my conclusion. please help me!

Answers

Answer:

Step-by-step explanation:

A conclusion is 2-3 closing sentences to wrap up your essay.  You should start with a transition word, like "To conclude," and then state your controlling idea.  Or, the reason why you are writing this essay.  Then, you need to end with a closing sentence, which is pretty hard to do.  This can be a question or a statement.  If you pick a question, then you need to say something like this:

Why do you think masks and social distancing are effective during these hard times?

If you pick a statement, then it needs to end something like this:

I wonder....

Now, I am going to let you figure this out, because people should learn.  Good luck and I hope this helps!

What is the value of y when -5=y-7/9? A) -7 B) -11 C) -38 D) -52

Answers

Answer:

C) -38

Step-by-step explanation:

[tex]-5=y-7/9\\-5+7/9=y-7/9+7/9\\-38/9=y[/tex]

I guess closest answer is C

Rearrange the equation by subtracting what is to the right of the equal sign on both sides of the equation: y-(x-(7)/(9))=0

simplify 7/9

y- (x-7/9) = 0

2.1 subtracting a fraction from a whole

rewrite the whole as a fraction using 9 as the denominator

x=x/1=x•9/9
evaluate fraction: the fraction those granted looks different but has the same value as the whole.

common denominator: The equivalent fraction in the other fraction fault in the calculation share the denominator.

2.2 adding up The two equivalent fractions
Add the two equivalent fractions which now have a common denominator

combine the numberators together, put the sum of difference over the common denominator then reduce to the lowest terms as possible:
x•9-(7)/9 = 9x-7/9

y-(9x-7)/9=0

then adding up to the equivalent fractions
9y-9x+7/9=0

now to get rid of the denominator, multiple both sides
9y-9x+7/9•9=0•9
9y-9x+7=0

now this is the formula
Y tells us how far up the line goes
X tells us how far along
M is the slope
B is the Y-intercept

the X and Y intercepts and the slope are called the line properties. we shall now graph line 9y-9x+7=0

ANSWER IS

Slope=1.000
Y-intercept=-7/9
X-intercept=7/9

HOPE THIS HELPED!❤️


Please help I suck at these :(

Answers

negative twenty-four over three equals negative eight.

What is the solution to the inequality 4x>-12?
O x>-3
Ox<-3
O x>-48
O x<-48

Answers

Answer:

A. x>-3

Step-by-step explanation:

You just have to divide -12 by 4 and the sign does not flip because 4 is not negative

1. Find the Distance. Round to the nearest tenths.
(-4, 6) and (3, -7)

Answers

Answer:

13

Step-by-step explanation:

[tex](4, 6) = (x _1 , y_1) \\ (3, -7) = (x_2 \: y_2) \\ \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } [/tex]

Plug in the given values

[tex]d = \sqrt{(3 - 4)^{2} + ( - 7 - 6)^{2} } \\ d = \sqrt{( - 1)^{2} + {( - 13)}^{2} } \\ d = \sqrt{1 + 169} \\ d = \sqrt{170} = 13.0[/tex]

The price of a share of stock for Nike at the beginning of the week was $24.75. Over the next five days, the share of stock gained $2.50 on Monday, lost $3.25 on Tuesday, lost $0.75 on Wednesday, gained $1.25 on Thursday, and gained $4.75 on Friday. What was the price of the share of stock at the end of Friday? A. $37.25 B. $29.25 C. $12.25 D. $22.50 What is the Answer?

Answers

Answer: B. $29.25

Step-by-step explanation:

In integers loss is represented by negative integers whereas profit is represented by positive numbers.

Given, Beginning price =  $24.75

Over the next 5 days,

On Monday, gain of  $2.50 represented by + $2.50.

On Tuesday, loss of $3.25 represented by - $3.25 .

On Wednesday,  loss of $0.75 represented by - $0.75.

On Thursday, gain of $1.25 represented by + $1.25.

On Friday, gain of $4.75 represented by + $4.75.

Price of the share of stock at the end of Friday = (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)

= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)

= $29.25

Hence, the correct option is B. $29.25.

Express 160 kilometers per hour in miles per hour.

Answers

Answer:

It would be exactly 99.4194 mph

Step-by-step explanation:

For an for an approximate result, divide the kilometer speed value by 1.609

Answer:

100miles/hour

Step-by-step explanation:

1mile = 1.6km

1Ox+6-8x=9x +12-8x-2

Answers

Answer:

X=4

Step-by-step explanation:

A line segment can be drawn between any two points.
A. Conjecture
B. Definition
C. Postulate
D. Conditional statement

Answers

D.

I hope this helped

Please give brainliest :)
It’s d
That’s the correct answer

Solve for x. 7/8(−32−48x)+36 =2/3(−33x−18)−10x

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

x  =  2

Answer:

x=2

Step-by-step explanation:

7/8(-32)-7/8(48x)+36=2/3(-33x)-2/3(18)-10x  

= -224/8-336x/8+36

=-66x/3-36/3-10x.  

Simplifying the fractions

-28-42x+36=-22x-12-10x.  

Combining like terms

-42x+8=-32x-12.  

Add 32x to both sides:  

-42x+8+32x=-32x-12+32x

-10x+8=-12.  

Subtract 8 from both sides:  

-10x+8-8=-12-8

-10x=-20.  

Divide both sides by -10:  

-10x/-10 = -20/-10

x=2.

Use the Functions given to evaluate
f(g(-1)) =

Answers

The answer would be -fg  But, I'm not so sure about the graph so sorry!

the perimeter of a rectangle is 44 cm.if its length is increased by 4 cm and breadth is increased by 2 cm its area is increased by 72 sqcm. find the dimensions of the rectangle​

Answers

Answer:

11 cm, 11 cm

Step-by-step explanation:

Let the length and width of the rectangle be x cm and y cm respectively.

Therefore,

Perimeter of rectangle = 44 cm

2(x + y) = 44

x + y = 44/2

x + y = 22...... (1)

Area of rectangle = xy

When length is increased by 4 cm and breadth is increased by 2 cm.

New length = (x + 4) cm

New width = (y + 2) cm

New area of rectangle = original area + 72.. (given)

Therefore,

(x + 4) (y + 2) = xy + 72

xy + 2x + 4y + 8 = xy + 72

2x + 4y = 72 - 8

2x + 4y = 66

2(x + 2y) = 66

x + 2y = 66/2

x + 2y = 33.... (2)

Subtracting equation (1) from equation (2)

x + 2y - (x + y) = 33 - 22

x + 2y - x - y = 11

y = 11

Substituting y = 11 in equation (1)

x + 11 = 22

x = 22 - 11

x = 11

Thus, the dimensions of the rectangle are 11 cm and 11 cm.

Farah rolls a fair dice and flips a fair coin. What is the probability of obtaining a 5 and a head? Give your answer in its simplest form.

Answers

Answer:

1/12

Step-by-step explanation:

1 in 6 probablity on the dice and 1/2 probablity on the coin. multiply 6 and 2 = 12

1/12 probablity

i think this is the right answer but im not 100 percent sure

Find an equation of the line that passes through the given point and has the indicated slope m.

Answers

Answer:

y = [tex]\frac{4}{5}[/tex] x + 2

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 )

Here m = [tex]\frac{4}{5}[/tex] , thus

y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = [tex]\frac{4}{5}[/tex] x + 2 ← equation of line in slope- intercept form

how to find angles and how to find the number

Answers

Since angle 4x and 8x look like supplementary angles 4x+8x=180°. After solving that equation x=15. Plug that number in and 4x=60° and 8x=120°

If Mary and Tom put their money together they have £36. If Mary's money were halved and Tom's money doubled they would have £42. How much does each of them have? If you're answering, could you please show working out, thanks so much.

Answers

Answer:

Mary has £20 and Tom has £16

Step-by-step explanation:

Represent their current respective money amounts by m and t.

Then m + t = £36, but also m/2 + 2t = £42.

Multiplying the second equation by 2 removes the fraction:

m + 4t = £84

and multiplying this by -1 results in

-m - 4t = -£84, which can now be added to the first equation m + t = £36:

-m - 4t = -£84

+m +  t  = £36

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

       -3t =  -£48

We have successfully eliminated m.  To solve this last result for t, divide both sides by -3, obtaining t = £16

Since m + t  = £36 and t = £16, m must be £20.

Mary has £20 and Tom has £16

inverse of g(x)=2x -8​

Answers

Answer:

The inverse is 1/2x +4

Step-by-step explanation:

g(x)=2x -8​

y = 2x-8

Exchange x and y

x = 2y-8

Solve for y

x+8 = 2y-8+8

x+8 = 2y

Divide by 2

1/2 x + 8/2 = 2y/2

1/2x +4 = y

The inverse is 1/2x +4

Answer:

y = 1/2x + 4

Step-by-step explanation:

The first equation is y = 2x - 8

switch out y for x

x = 2y - 8

add 8 to both sides

2y = x + 8

divide by 2 on each side

y = 1/2x + 4

Other Questions
Which countrymen established a colony in America called New Netherland? Which polynomials can be factored using the binomial theorem? Check all that apply. x2 + 20x + 400 x2 + 40x + 400 x3 3x2 + 9x 27 x3 9x2 27x 27 256x4 64x3 + 16x2 4x + 1 256x4 256x3 + 96x2 16x + 1 Simplify 4(x + 40) +2(x -3) plsss help Where Can I Get Actual Microsoft AZ-900 Exam Questions? i need some help, with my algebra The bias condition for a transistor to be used as a linear amplifier is called:________.(a) forward-reverse(b) forward-forward(c) reverse-reverse(d) collect bias Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis. = 0.1 for a two-tailed test.a. 1.645b. 2.052c. 1.4805d. 2.33 Which of the following contributed most to early peoples ability to produce food?a.hunting of wild herdsc.the ability to make fireb.the end of the Ice Aged.metal tools Solve the equation.2(3x 1) = 5 (x + 3) Maggie and Nate enter into a contract for the sale of a 1967 Ford Mustang, but Nate later refuses to deliver the car. Maggie asks a court to order Nate to perform as promised. Ordering a party to perform what was promised is becky were u at? are you there see this becky bECKY Explain how Jefferson in the Declaration of Independence declares the Monarchy to be insufficient in the social contract and how he promotes democracy as a new and better alternative. Medicare Part is medical insurance that covers doctors' services, outpatient care, medical supplies, and preventive services.a. Trueb. False what is the answer for this problem -52 = 4(3n-1) During an election year, why would a senator want to determine a mode? What is the after-tax cost of debt for a firm if it pays at 21% of tax rate, and pays 15% on its debt A team member can become distracted by a work or personal problem that prevents him or her from following through on commitments made to the team. This team member is best described as a(n): absentee member. social loafer. procrastinator. arbitrator. WILL GIVE BRAINLIEST! Prove that a quadrilateral ABCD with vertices A(1, 2), B( 2, 5), C(1, 2), and D( 2, 1) is a parallelogram. Find the point of intersection of the diagonals of parallelogram ABCD. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online. Solve the equation.y+6=-3y+26 If 4 is subtracted from twice a number, the result is 10 less than the number. Find the number.