(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?

Answer:

See below:

Step-by-step explanation:

Hello my name is Galaxy and I'll be helping you today. I hope you are having a nice day!

Simplification

To figure out how we can order them, we can first simplify the problems so that we can easily determine its place. We can put the fractions into decimal form so that they are are in one form and will be easy for us to comprehend.

[tex]\frac{19}{5}=3\frac{4}{5}=3.80[/tex]

We know that [tex]\frac{1}{5}[/tex] is equal to 0.20 because we know that 1.00 will be equal to 100 in this case and we can divide that by five to get 20 which will be divided back to get to 0.20.

As I've explained how I've simplified the first one, simplifying the others should be a quite similar process, feel free to comment below if you need any assistance with this.

[tex]\frac{19}{5}=3.80\\1.62=1.62\\\frac{-14}{3}=-4.6667\\ -0.5=-0.5[/tex]

(Everything simplified to decimal form.)

We can now proceed to ordering them.

Ordering

Ordering decimals doesn't have to be as hard as it looks, we know that as per the number line a number that is more negative (e.g. -37) will be less than (e.g. -5) as it is closer to the number 0.

Now that we know how to order the negative numbers, we can order them into order, and for ordering the positive numbers, we should already know how to do that.

So, now, in order from Greatest to Least. We can order them by what I said above.

[tex]3.80>1.62>-0.5>-4.666[/tex]

We can convert the numbers back into their original form by looking at how we converted them in the Simplification section.

Final Answer

After converting them into a way that we can comprehend, we get our final answer in terms of greatest to least as:

[tex]\frac{19}{5}>1.62>-0.5>\frac{-14}{3}[/tex]

Cheers!

Answer:

see below

Step-by-step explanation:

y = -13x+14

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -13 and the y intercept os 14

If you mean y = -1/3x + 1/4

The slope is -1/3 and the y intercep is 1/4

Answer:

-1/3 is the slope because the equation is in a form of y =mx + c, where m is the slope

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base  

( 5 )  of the left side  ( 25 )  equals the exponent  ( 2 ) .   log 5 ( 25 ) = 2

Use the definition of a logarithm,  

log b ( x ) = y  ⟹  b y = x , to convert from the logarithmic form to the exponential form.

32  4/ 5 = 16

Answer:

6:5

Step-by-step explanation:

divide both numbers by using gcd/ greatest common divisor

= 12:10/ 2

=6:5

please mark me as brainliest!!! Good luck with your tests!

Answer:7 to 9? Years

Step-by-step explanation: I’m not sure but if you got a couple trys try to do it.

Answer:

6 years

Step-by-step explanation:

Y = IA (r)^t

600 = 3100 (.75)^t

then just solve for T i recommend using guess and check, but thats me

and youll get 6 years.

Using confidence interval concepts, it is found that the margin of error is of 7.

[tex]M = \frac{b - a}{2}[/tex]

In this problem, the interval is (32, 46), hence [tex]b = 46, a = 32[/tex], and the margin of error is:

[tex]M = \frac{46 - 32}{2} = 7[/tex]

The margin of error is of 7.

A similar problem is given at https://brainly.com/question/25704940

Answer:

Step-by-step explanation:

its 7 just did it

Answer:

[tex] \frac{1}{2} + \frac{5}{8} [/tex]

[tex] \frac{1 \times 4}{2 \times 4} + \frac{5}{8} [/tex]

[tex] \frac{4}{8} + \frac{5}{8} [/tex]

[tex] \frac{9}{8} [/tex]

[tex]1 \frac{1}{8} [/tex]

Answer:

all, but the bottom

Step-by-step explanation:

They all add up correctly but the one on the bottom makes no sense.---------------------------------------------------------------------------------------------------------------------------

Answer:

Below in bold.

Step-by-step explanation:

Using the quadratic formula :

roots =  [-16 +/-√(16^2 - 4*16*5)] / (2*16)

= -0.5 +/- √(-64) /32

= -0.5 +/- 8i/32

= -0.5 + 0.25i and -0.5 - 0.25i

[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]

[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]

[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]

Given : The ratio of two numbers is 4:9. When 5 is subtracted from each of them the ratio is 3:8. Find the numbers

Need to Find : The numbers

Solution : According to the question here we are given that the ratio is 4:9 and 5 is subtracted from each of these ratios after which the ratio becomes 3:8. Let's follow the steps to get the answer.

Let the constant multiple be x

Now, according to the question:

The numbers are 4x and 9x

As we get to know that each of them is subtracted by 5. So,

1st number = 4x - 5

2nd number = 9x - 5

New ratio becomes 3:8

⇢ (4x - 5)/(9x - 5) = 3/8

⇢ 8(4x - 5) = 3(9x - 5)

⇢ 32x - 40 = 27x - 15

⇢ 32x - 27x = - 15 + 40

⇢ 5x = 25

⇢ x = 25/5

⇢ x = 5

Now, getting the numbers. Instead of x we need to put 5 and multiply with the constant.

1st number = 4x = 4(5) = 20

2nd number = 9x = 9(5) = 45

∴ The numbers are 20 and 45 respectively.

Answer:

153 adults and 168 children

Step-by-step explanation:

x - number of adults

y - number of children

[tex]\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.[/tex]

[tex]\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=-336} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-168}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=153}} \right.[/tex]

Is it all clear?

Answer:

C.40%

Step-by-step explanation:

Answer:

Your answer would be 40%.

Step-by-step explanation:

If the pizza was cut into 10 pieces, each piece would equal 10%. Therefore, since she had ate 4 pieces, she had eaten 40% of the pizza.

Answer:

136

55

53

70

Step-by-step explanation:

1) here x and 136 are alternate interior angles and they are equal

2) here x and 125 lie on the same straight line

so x  + 125 = 180

x = 55

3) here 53 and x are corresponding angles and they are equal

x = 53

4) for this see picture below

side angle to 110 becomes x because of corresponding angles

and as this x and 110 lie on same line

x + 110 = 180

x = 70

Answer:

A) If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line. And when 2 lines crosses, the opposite angles are the same.

B) x is 180° - 125° = 55°

C) x is 53° (If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line.)

D) x is 180° - 110° = 70°

Answer:

240

Step-by-step explanation:

You would do 5x6x8 to get all the combinations, and that would equal 240

Step-by-step explanation:

Given points,

( -2 , 3) and (4,3)

we know,

slope = y_2 - y_1 / x_2 - x_1

so according to it we got,

→ (3 - 3)/4 - (-2)

→ 0/6

hope this answer helps you dear! take care.

Hello!

To find the slope when we have 2 points, we use the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{3-3}{4-(-2)} \\\frac{0}{6} \\0[/tex]

Here's something for you to remember:

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

[tex]\\ \sf\longmapsto 5sin^2x=sinx[/tex]

[tex]\\ \sf\longmapsto \dfrac{5sin^2x}{sinx}=\dfrac{sinx}{sinx}[/tex]

[tex]\\ \sf\longmapsto 5sinx=1[/tex]

[tex]\\ \sf\longmapsto sinx=\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto sinx=0.2[/tex]

[tex]\\ \sf\longmapsto x=sin^{-1}(0.2)[/tex]

[tex]\\ \sf\longmapsto x=11.53[/tex]

Answer:

$11.59

Step-by-step explanation:

14.22-2.3=11.59

also this was like a question that gose "joe has 5 cookes, josie eats 3, how old is josie?"

for every 13 dogs, there are 25 cats. is the answer.

Answer:

Type of variation

1) Direct variation

Simple equation y=Kx

Y varies directly with x

Practical example-

Radius of the circle lit by a car's

Light decreases (y) as the distance away from the garage decreases (c)

2) Inverse variation

Simple equation y=k/x

Y inversely with c

Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)

3) Joint variation

Simple equation y=kxz

Y varies jointly with x and z

Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Okay, so we know all answers that apply, so why did I pick only one answer?

Think of a graph: have you heard of y = mx + b? even if you haven't the m is slope and b is y-intercept. You can use this to graph.

So if you have same slope and y-intercept you'll get infinite solutions

So if you don't know y = mx + b? it's ok! You're basically looking for the same thing on both sides. When it's the same, they'll cancel out.

Hopefully this helps! You may want to ask your teacher to make sure. :))

(Tell me if it's wrong in comments)

Step-by-step explanation:

Write the equation of the line that has a slope of zero and passes through the point (2, -3). [A] y=-3x+2 [B] y=-3 [C] y=2 C] y=2x-3 [D] y=2x + 2

Answer:

12

Step-by-step explanation:

4(3)

4*3 = 12

Answer:

It is 12 I got it right.

Step-by-step explanation:

Answer:

i dont think so...

Step-by-step explanation:

314864

Answer:

314,864 is the product.

Step-by-step explanation:

176 x 1,789= 314,864

Answer:

114 degrees

Step-by-step explanation:

6x+12=3x+63

-3x -12 -3x  -12

3x=51

x=17

6(17) +12 = 114

Answer:

The first one

Step-by-step explanation:

if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.

Answer:

Yes. 34.79 is a rational number because it can be written as a fraction.

Step-by-step explanation:

Hoped this helped.

Answer:

Yes

Step-by-step explanation:

7 = x

5 = y

5 = X + - 2

5 = X - 2

If X is 7 then

5 = 7-2

5=5

yes