(High School Geometry) What is the minimum number of regions that are formed by 100 distinct lines in a plane? What is the maximum number of regions formed by 100 lines in the plane?

Answers

Answer 1

Answer:

101 - min, 5051 - max

Step-by-step explanation:

Minimum number of regions

You may have 100 parallel lines. This will give us 101 regions

Use following formula to find the maximum possible number of regions:

R(n) = 1 + n(n + 1)/2, where n is the number of linesR(100) = 1 + 100*101/2 = 5051

Related Questions

Which table of values represents a linear function?

Answers

Answer:

I don't know it's very hart

PLEASEEE HELPPP ASAPP!!!!

Answers

Answer:

i gauth math NYU po meron yan

What is the suface area of a rectangular prism that measures 2cm × 5cm × 8cm?​

Answers

Answer: 132 hope that helps

Step-by-step explanation

Fastest way to do it A=2(wl+hl+hw)=2·(5·2+8·2+8·5)=132

Answer:

132 [tex]cm^{2}[/tex]

Step-by-step explanation:

A rectangular prism has 6 sides in total. We need to find the area of each side and add the areas together to find the total surface area.

Each side has an opposite that's parallel and on the opposite side of the prism, so there are 3 different sides whose areas are to be multiplied by 2.

First: let this side be SIDE A:  5 x 8 = 40 [tex]cm^{2}[/tex]

Second, let this side be SIDE B:  8 x 2 = 16 [tex]cm^{2}[/tex]

And thirdly, let this side be SIDE C:  2 x 5 = 10 [tex]cm^{2}[/tex]

These are the areas of 3 of the the sides of the prism. The other 3 are identical.

Now to find the Total SA, we add all of them together,

SA   =    2 x (SIDE A) + 2 x (SIDE B) + 2 x (SIDE C).

       =    (2 x 40) + (2 x 16) + (2 x 10)

       =    80 + 32 + 20

SA   =    132 [tex]cm^{2}[/tex]

Water flows through a pipe at a rate of 89 cups per second. Express this rate of flow in gallons per hour

Answers

Answer:

Step-by-step explanation:

that sucks

Answer:

Answer: 20025 gallons per hour

89 times 60= 5340 cups in one minute

5340 times 60= 320,400 cups in one hour

Convert 320,400 cups into gallons and you will get 20025.

Not positive if this is correct but it’s better than nothing lol

Evaluate if a = - 3 and b = 2
-3a/B^2

Answers

Answer:

9/4

Step-by-step explanation:

= -3a

= -3(-3)

= 9

=B^2

= (2)^2

=4

therefore answer: 9/4

Becky invests some money that she anticipates will average an annual return of 7%. About how many years will it take Becky’s money to double at this rate? Show your work using function notation.

Answers

The number of years it would take Becky to double the amount invested is 10 years.

The rule of 70 is a rule of thumb that is used to know the number of years it would take an investment to double at the interest rate. The formula entails dividing 70 by the interest rate.

Rule of 70 = 70 / interest rate

70 / 7 = 10 years

To learn more, please check: brainly.com/question/2262294

Answer:

About  14.3 years

Step-by-step explanation:

The function for this case would be:

f(x) = 7x, where f(x) is the average return of %, x - is the number of years

If we need the money to double, the return rate should be 100%:

7x = 100x = 100/7x = 14.3 years


Dante argues that point P is the circumcenter of the triangle. Determine if
Dante is correct and justify your answer.

Answers

Dante is incorrect because point P is not the circumcenter of the triangle.

What is the circumcenter of a triangle?

The circumcenter of a triangle is a specific point or location either inside or outside the triangle that represents the center if a circumcircle is drawn or if a circle that touches all the vertices of a triangle is drawn.

How to identify a circumcenter?

There are some simple characteristics to determine if a circumcenter is correct.

All the vertices of a triangle have the same distance from the circumcenter.In obtuse triangles like the one shown in the image, this point is located outside the triangle.

Based on these characteristics we can conclude Dante is incorrect because the distance from point P to the three vertices is not the same and this point should be located outside not inside the triangle.

Learn more about triangle in: https://brainly.com/question/25813512

║3x²+x+5║= 5x²- 3x+ 7

Answers

Is this what you needed ?

Determine the solution for the following equation: (8x-8)3/2=64

Answers

x=6 1/3 because you must follow PEMDAS

Answer:

X=3

Step-by-step explanation:

Edge2021

easy one - giving brainly if correct - show work.​

Answers

Answer:

51,000

Step-by-step explanation:

50,000

20% raise is

50,000 + 50,000 * 20/100

= 50,000 + 10,000

= 60,000

15% tax is

60,000 * 15/100

= 9000

so total money is 60000 - 9000

= 51000

Solve the following
5 3/4 + (6 2/3 - 4 5/6) =

Answers

Answer:

7 5/12

Step-by-step explanation:

first, subtract 4 5/6 from 6 2/3 by converting 6 2/3 to 6 4/6

5 3/4 + (6 4/6 - 4 5/6) = 5 3/4 + 1 4/6

* I borrowed 6/6 or '1' from the 6 and made 4/6 into 10/6

5 3/4 equals 5 9/12 and 1 4/6 equals 1 8/12

adding them gives you:

6 17/12 which is the same as 6 + 1 5/12, or 7 5/12

Please answer lol its math

Answers

Answer:

12.5

Step-by-step explanation:

hope it helped

Answer:

12.5

Step-by-step explanation:

Divide 25ft by 2mm

> 25 / 2 = 12.5

What equation is graphed in this figure?
O 2x+y=-3
O 20y=-3
O 2x+y=3
O 2x -y=3

Answers

Answer: 2x-y=3

Step-by-step explanation:

Rewrite 2x-y=3 in standard form:  y = 2x -3

The line on the graph has a y-intercept of -3, as does this equation.  We can also see a slope of 2 (y goes up by 2 for every time x increase by 1).

Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?

Answers

Answer:

well like this 3/8

Step-by-step explanation:

3/8 and rest is 5/8 in fraction form

Frank practised for 4 hours and 35 minutes. If he stopped practising at 9:17 p.m, what time did he start practising?

Answers

4:42 p.m

You start with 9:17 and you subtract 4 hours. That gives you 5:17. Now you have to subtract the remaining 35 minutes. To make things easy we can make 5:17, five o-clock. We can do this by subtracting 17 then you'll get five o-clock. Now you have another 28 minutes to subtract. 5:00 - 28 = 4:42. Then you add the p.m.

Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment ​AB¯¯¯¯¯​ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)

Answers

Answer:

  A. (8 2/5, 8 2/5)

Step-by-step explanation:

You want to find point P such that ...

  AP : PB = 2 : 3

  3AP = 2PB . . . . . . . . cross multiply

  3(P -A) = 2(B -P) . . . recognize length XY = Y - X

  5P = 3A +2B . . . . .  collect P terms

  P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5

  P = (8 2/5, 8 2/5) . . . . matches choice A

The volume of a box is given by V=3x^3 + 33x^2 + 84x. Determine expressions for a possible set of dimensions for this box.

Answers

Answer:

(-7,0) (-4,0)(0,0)

Step-by-step explanation:

Surface area I need help !!!

Answers

Answer:

75.4 to 1 decimal place

If you want an explanation comment on the answer.

Use the conjugate to divide1 - i / square root of 3 + 4i

Answers

Answer:

Step-by-step explanation:

(1 - i) / (sqrt(3 + 4i)

= (1 - i) / [tex]\sqrt{3 + 4i}[/tex]

=> multiply and divide by conjugate of denominator

= [tex](1 - i) / \sqrt{3 + 4i} * \sqrt{3 - 4i} / \sqrt{4 - 3i}[/tex]

= [tex](1 - i)*(\sqrt{3 - 4i} ) / (\sqrt{3 + 4i} *\sqrt{3 - 4i})[/tex]

= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - 16i^{2} )[/tex]

= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - (-16) )[/tex]

= [tex](1 - i) * \sqrt{3 - 4i} ) / \sqrt{25}[/tex]

= [tex](1 - i) * \sqrt{3 - 4i} / 5[/tex]

= [tex]\sqrt{(1 - i)^{2} } * \sqrt{3 - 4i} / 5[/tex]

= [tex]\sqrt{(1 + -1 -2i)*(3 - 4i)} / 5 \\\sqrt{-2i * (3 - 4i)} / 5\\\sqrt{-6i + 8*-1} /5 \\\sqrt{-6i - 8 } / 5[/tex]

What is the y-intercept of the linear equation x minus one-half y = negative 6? –6 –3 0 12.

Answers

Answer:

(0,12) or 12

Step-by-step explanation:

x - 1/2y = -6

When you make x = 0,

-1/2y = -6

y= 12

Hope this helps!

Answer:

12

Step-by-step explanation:

got it right on edge2021

you're so cool! I hope you have an awesome day!​

Answers

Answer:

The functions each have a positive Slope

a.)True, False

Step-by-step explanation:

Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4

Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2

These are both positive but 4 does not equal 2

a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0

When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.

Hope this helps and makes you have an Awesome Day!

In the table, how can I get from 8 km to 1 km?

A. Multiply by 8.

B. Divide by 8.

C. Divide by 5.

D. Multiply by 5.
WILL MARK BRAINLY NO BOTS

Answers

Answer:

B. Divide by 8.

Step-by-step explanation:

B devide by 8 I am 100%right

solve the equation.

[tex]\sqrt{x(x+2)} = 0[/tex]

Answers

[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]

ok done. Thank to me :>

Can someone help me find x? it 15 points. i hope its enough..
4/5x + 9/10= 5 1/5

Answers

Step-by-step explanation:

Exact Form:

x = 43/8

Decimal Form:

x = 5.375

Mixed Number Form:

x =5 3/8

Yuri surveyed a random sample of 75 students in his school about their favorite color. Of the students surveyed, 49 chose lavender as their favorite color. If there are 908 students at the school, what is a valid estimate of the number of students whose favorite color is lavender?

600 students

300 students

450 students

800 students

which one?

Answers

Answer:

600

Step-by-step explanation:

Take the number that answered lavender and divide by total # of students surveyed

49/75 = .653333 or 65.3%

then take the total # of students and multiply by .6533333

908x .6533333 = 593.22

so the closest estimate is 600

-- Gage Millar, Algebra 1/2 tutor

Hello please help me with this question

Answers

The answer to this question is 5589

plzzzz help me!!!



Plz don't steal my points or add a link​

Answers

Answer: What do you mean? if you till me i can help you

Step-by-step explanation:

IM SO CONFUSED!!! I need help what is the difference between 1+0 and 1x1 HURRY DUE TODAY

Answers

Answer:

one is addition the other is multiplication, though, both the sum and product equal the same solution

Step-by-step explanation:

hope it helps

Answer:

The answer is 0

Step-by-step explanation:

1+0=1

1x1=1

1-1=0

The cost of renting a video game is $4 per a day, plus a $3 rental fee. If jonathan has $12 to spend, what is the maximum number of days he can rent the video game?.

Answers

Answer:

2 days

Step-by-step explanation:

12 - 4 = 8

8/3 = 2.7

Solve the inequality
8(x/4-6)>4

Answers

Answer:

[tex]8( \frac{x}{4} - 6) > 4[/tex]

[tex] \frac{8x}{4} - 48 > 4[/tex]

[tex]2x - 48 > 4[/tex]

[tex]2x > 4 + 48[/tex]

[tex]2x > 52[/tex]

[tex]x > \frac{52}{2} [/tex]

[tex]x > 26[/tex]

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