If there are seven points on a plane and no three points are on the same line, how many lines can the points make?

Answers

Answer 1

The number of lines that the points can make is; 21 lines

How to find Collinear Points?

We are given that;

- There are 7 points on a Plane

- No 3 points on the plane are on the same line

Thus;

No 3 points are collinear and as such the number of lines that the points can make is found from the combination  formula;

C(7,2);

C(7,2) = 7!/(7 - 2)!*2!

= (7 × 6)/(2 × 1)

= 42/2

=21

Read more about Collinear Points at; https://brainly.com/question/3307641

#SPJ1


Related Questions

What would be the answer if x=-8
Y=- 3/4+10

Answers

Answer:

x= -8, 9 1/4

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

4. Find the area of the
shaded region.

Answers

Diameter of the circle in the middle = 8 ft

Radius of the circle in the middle :

[tex] =\tt \: \frac{Diameter }{2} [/tex]

[tex] =\tt \frac{8}{2} [/tex]

[tex] =\tt 4 \: ft[/tex]

Thus, the radius of the circle in the middle = 4 ft

Area of the entire circle :

[tex] =\tt \pi {r}^{2} [/tex]

[tex] = \tt3.14 \times 4 + 6 \times 4 + 6[/tex]

[tex] = \tt3.14 \times 10 \times 10[/tex]

[tex] =\tt 3.14 \times 100[/tex]

[tex]\color{plum} = \tt314 \: ft[/tex]

Thus, the area of the entire circle = 314 ft

Area of the circle in the middle :

[tex] =\tt \pi {r}^{2} [/tex]

[tex] =\tt 3.14 \times 4 \times 4[/tex]

[tex] = \tt3.14 \times 16[/tex]

[tex]\color{plum} =\tt 50.24 \: ft[/tex]

Thus, the area of the circle in the middle = 50.24 ft

Area of the shaded portion :

= Total area of the figure - Area of the circle in middle

[tex] =\tt 314 - 50.24[/tex]

[tex]\color{plum} =\tt 263.76 \: ft[/tex]

▪︎Therefore, the area of the shaded portion = 263.76 ft

Show two different ways to factor pls help
-12x + 24 - 18y

Answers

I know one way can be -6(2x-1) but I’m not sure about any other way

PLZ HELP ME LLZ I WILL DO ANYTHING

Answers

Answer:

X=45

Step-by-step explanation:

45+3x=180

180-45=135

135/3=45

x has to be 45

x=45

y: 2x+3+9x+2
Simplify this

Answers

Answer:

y=16x ??

Step-by-step explanation:

Answer:

=11x+5

Step-by-step explanation:

Let's simplify step-by-step.

2x+3+9x+2

Combine Like Terms:

=2x+3+9x+2

=(2x+9x)+(3+2)

=11x+5

Answer:

=11x+5

A company charges its customers a flat fee of $6 plus an additional $5 per hour to kennel a dog. A function, C(h), can be used to describe the relationship between the number of hours, h, and the total amount, in dollars, of charges.

Write an equation in function notation to represent the function.

Answers

5(h)+6=c? i think this would be the answer but not sure

please help this is algebra II

Answers

Answer:

m=5

Step-by-step explanation:

a rectangular garden measures 22.7 m by 16.6 m how many meters of fencing materials are needed to enclose it the fencing materials cost 12.50 per meter​

Answers

Answer:

78.6m of fencing

That would cost $982.50

Step-by-step explanation:

Perimeter: 2(22.7)+2(16.6)=P

P = 78.6

Cost: 78.6*12.50

C = 982.50

Ben is standing 8 feet from
the base of a telephone pole.
The angle of elevation from the
point on the ground where he is
standing to the top of the pole
is 62°. Find the height of the
telephone pole. Round to
the nearest tenth.

Answers

Answer:

Approximately 15.05 ft

Step-by-step explanation:

You need to use tangent for this question.

Since tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]

to find the Opposite, we need to rearrange the equation to:

Adjacent × tan θ = Opposite.

So if you insert 62 for θ and 8 feet for Adjacent, you will get:

8 × tan(62) = Opposite.

and you will get approximately 15.05 feet for your Opposite side

A teacher can grade 10.5 tests every 30 minutes. How many tests can they grade in two 45 minute prep periods?

Answers

Answer:

31 tests.

Step-by-step explanation:

The rate for the grading is 10.5 every 30 minutes.

Two 45 minute prep periods are 90 minutes.

90 / 30 = 3.

Since three 30 minute periods fit into 90 minutes, we get

3 x 10.5 = 31.5 tests.

Since a teacher did not finish grading the .5 of the test, we don't count it.

Our answer is 31 tests.

solve for x
103.5
4.7
55.0

Answers

Answer:

It will be the first one

Step-by-step explanation:

Hope this Helped

What kind of solution does the equation have? - 13 = 5(1 + 4m) - 2m

Answers

-13= 5+20M-2
-5

-18= 18M
-18/18

M=1

Answer: = − 1

Step-by-step explanation:

Write an algebraic expression for three times the quantity q minus eleven

Answers

3q - 11

So it says 3 times the quantity q so we can represent this as 3q. Next, it says to minus 11, take the 3q and minus 11 from it , like this 3q - 11. Then, you have your answer!

Hope this helps!!
- Kay :)

Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 97 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?​

Answers

Answer:

[tex]r = 5[/tex] --- Radius

[tex]h = 3.9[/tex] --- Height

Step-by-step explanation:

Given

Shape: Cone

[tex]Volume = 97in^3[/tex]

Required

Determine different possible values of radius and height

The volume (V) of a cone is calculated as:

[tex]V = \frac{1}{3}\pi r^2h[/tex]

Substitute 97 for V

[tex]97 = \frac{1}{3}\pi r^2h[/tex]

Multiply both sides by 3

[tex]3 * 97 = \frac{1}{3}\pi r^2h*3[/tex]

[tex]291 = \pi r^2h[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]291 = 3.14* r^2h[/tex]

Divide both sides by 3.14

[tex]\frac{291}{3.14} = \frac{3.14* r^2h}{3.14}[/tex]

[tex]\frac{291}{3.14} = r^2h[/tex]

[tex]92.68 = r^2h[/tex]

From the question, we understand that:

[tex]r \ne h[/tex]

So, we have to assume a value for either r or h and then solve for the other variable.

Let [tex]r = 5[/tex]

So, We have:

[tex]96.28 = 5^2 * h[/tex]

[tex]96.28 = 25 * h[/tex]

Make h the subject

[tex]h = \frac{96.28}{25}[/tex]

[tex]h = 3.8512[/tex]

[tex]h = 3.9[/tex] --- approximated

Note that there are other different possible values of h that is true for

[tex]92.68 = r^2h[/tex] where [tex]r \ne h[/tex]

Evaluate 9 - nº when n = 2.

Answers

Answer:

answer is 8

Step-by-step explanation:

What are the intercepts of the graphed function?


x-intercept = (0, –1) y-intercept = (0, –3)

x-intercept = (0, –1) y-intercept = (–3, 0)

x-intercept = (–1, 0) y-intercept = (0, –3)

x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!

Answers

Answer:

The first option.

Step-by-step explanation:

plzz hellpldppdopbdjdj​

Answers

Answer:

78 squared feet

Step-by-step explanation:

area= base x height

so 6 x 13 = 78

and yeah

HOPE I HELPED:))

your answer is 91 square feet

a^2 + 6=

a=5


Evaluate

Answers

Answer:

31

Step-by-step explanation:

[tex]a^{2} +6=?[/tex]

[tex](5)^{2} +6=?[/tex]

[tex]25+6=?[/tex]

=31

I REALLY NEED HELP!!!!

Answers

Answer:

1  2/8 inches

Step-by-step explanation:

smallest = 2/8

largest = 1 4/8

difference = 1 2/8

Some one answer this thanks

Answers

Answer:

1,2,5 equal 32

Step-by-step explanation:

Answer:

(2³×4)+(11-11)5

4²×2

2^5

Step-by-step explanation:

(2³÷4)+(11-11)5

=(8×4)+0

=32

4²×2

=16×2

=32

2^5

=2×2×2×2×2

=4×4×2

=16×2

=32

Help me please!!!! I really need help ty!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

There are:
3 1/4 gallons
2 3/8 gallons
4 5/8 gallons
And 1 gallon

3(1/4) would be 3/4
2(3/8) would be 6/8
4(5/8) would be 20/8
And 1 is just 1

To have all denominators match up, you can have 3/4 be 6/8, or 6/8 be 3/4 and 20/8 be 10/4.

6/8 + 6/8 + 20/8 = 32/8 = 4
4 + 1 = 5
(Or alternatively)
3/4 + 3/4 + 10/4 = 16/4 = 4
4 + 1 = 5

I need help this question is due in 20 minutes

Answers

Answer:

20,067.68

All I did was 23,200 and minus $195.77 15 times! Your welcome.

The expression 2x^2+5x-12 is equivalent to which of the following?

a
(2x-3)(x+4)

b
(x+3)(2x-4)

c
(2x-3)(2x+2)

d
(2x+3)(x-4)

Answers

Answer:

letter D

Step-by-step explanation:

2

x

2

5

x

12

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

N

2

=

a

c

=

2

12

=

24

and,

N

1

+

N

2

=

b

=

5

After trying out a few numbers we get:

N

1

=

8

and

N

2

=

3

3

(

8

)

=

24

, and

3

+

(

8

)

=

5

2

x

2

5

x

12

=

2

x

2

8

x

+

3

x

12

=

2

x

(

x

4

)

+

3

(

x

4

)

(

x

4

)

is a common factor to each of the terms

=

(

2

x

+

3

)

(

x

4

)

Answer:

a see below for explanation

Step-by-step explanation:

2x^2 + 8x - 3x - 12

2x^2 +5x - 12

The table shows the participation in a school’s debate club during the last four years. Year 1 2 3 4 Students 14 19 25 33 Between which two years did the club see the greatest growth? By what percent did it grow? Round to the nearest percent. Use the drop-down menus to show and explain your answer. The greatest growth was between years Choose... and Choose... . The growth between those years was about Choose... .

Answers

Answer:

Year 1 and 2

36%

Step-by-step explanation:

Given the data :

Year ______1 ___ 2 ____ 3 ___ 4

Students __ 14 __ 19 ___ 25 __ 33

Greatest growth is observed between year 1 and 2

Growth percent :

(year 2 - year 1) / year 1 * 100%

(19 - 14) / 14 * 100%

5 / 14 * 100%

0.3571 * 100%

= 35. 71%

= 36%

The growth percent between year 1 and 2 is greater than between the other years

Year 2 and 3 = (6/19) * 100% = 31.57%

Year 3 and 4 = (8/25) * 100% = 32%

Answer:

1 and 2 x=32%

Step-by-step explanation:

1. 5/14=x/100

2. 500/14=14x/14

so you get 36%

BTW the quiz 3-4 and 3-5 sucks lol

el conjunto solucion de la ecucacion 2x - 6=8x, es

Answers

Answer:

English translate please so i can help you?

Step-by-step explanation:

The part that's cut off it says To the nearest tenth of a percent, what's percent... ​
and is the answer 3.3?

Answers

Answer:

Yes you are correct.

Melanie earns $7.40 per hour working at a grocery store. She works 14.25 hours this week. How much does she earn this week?

Answers

She earns $105.45 this week.

Answer:

$105.45

Step-by-step explanation:

$7.40 x 14.25 = $105.45

She earns $105.45 after working for 14.25 hours.

please simplfy 7x + 6 + 3x – 2 – 5x

Answers

Answer:

5x+4

Step-by-step explanation:

Answer:

5x + 4

Step-by-step explanation:

7 + 3 - 5 = 10 - 5 = 5x

6 - 2 = 4

5x + 4

solve the first equation for x.
X+ 5y = 0 20y = -4x

Answers

The answer for the first equation x + 5y = 0 is,

[tex]x = - 5y[/tex]

1 point
8. Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above

Answers

None of the above
Hope this helps you
none of the above hope this helps :)
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