4 triangles can be created with 3 points on a line.
20 triangles can be created with 6 points on a line.
30 triangles can be created with 7 points on a line.
Combination has to do with selection.
Note that a triangle has 3 vertices. If there are 4 points on a line, the number of triangles it is possible to create is derived using the combination formula shown as:
[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]
[tex]4C_3 = \frac{4!}{(4-3)!3!}\\4C_3 =\frac{4\times3!}{3!}\\4C_3=4triangles[/tex]
This means that 4 triangles can be created with 3 points on a line.
For a line with 6 points:
[tex]6C_3 = \frac{6\times 5\times 4\times 3!}{(6-3)!3!}\\6C_3 =\frac{6\times5\times 4\times3!}{3!3!}\\4C_3=20triangles[/tex]
This shows that 20 triangles can be created with 6 points on a line.
For a line with 7 points:
[tex]7C_3 = \frac{7\times 6\times 5\times 4!}{(7-3)!3!}\\4C_3 =\frac{7\times6\times 5\times4!}{4!3!}\\4C_3=30triangles[/tex]
This shows that 30 triangles can be created with 7 points on a line.
Learn more here: https://brainly.com/question/23885729
Consider the function F(x)=5x-1. Find the value of x for which the value of the function is equal to 89
Answer:
Sorry if im late
Step-by-step explanation:
The correct statements are:
The value of f(-10) = 82
The graph of the function is a parabola
The graph contains the point (20,-8)
Answer:
x=18
Step-by-step explanation:
89=5x-1
89+1=5x
90=5x
18=x
I already answered this, but I ain't sure ‘bout the answer that I got. So, I need clarifications, can you solve this for me please?
Step-by-step explanation:
35x׳/7 = (35x×⅕)+(35x×1/x)
15x=7x+35
8x=35
x=4.375.
hope this helps you.
[tex]35x( \frac{3}{7} = \frac{1}{5} + \frac{1}{x} ) \\ = > 35x \times \frac{3}{7} = > 35x \times \frac{1}{5} + 35x \times \frac{1}{x} \\ = > 5x \times 3 = 7x + 35 \\ = > 15x = 7x + 35 \\ = > 15x - 7x = 35 \\ = > 8x = 35 \\ = > x = \frac{35}{8} \\ = > x = 4.375[/tex]
Answer:x = 4.375
15 examples of real life situations where we apply approximation
Answer:
Have a splendiferous day!
Hope this helps!
Step-by-step explanation:
Shopping at the grocery store
Rough calculations of math
Figuring out time it would take to reach a location
Making nearly accurate measurements
Trying to stay within a budget
Solving extremely complicated numbers
Dealing with decimals
For quick calculations in a business
To prepare ahead, e.g an overestimate
and so on.
a researcher studied 30 people ages twenty to forty, 30 people ages forty-one to sixty, and 30 people ages sixty-one to eighty. the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. what research method did the researcher use, and what outcome would be found?
If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.
A cross-sectional is a research that is carried out by collecting data from different group of population or by drawing a random sample from a group of population in which the researcher will then study or observe the data collected at a particular period of time.
Based on the given information the researcher is making use of Cross-sectional research method as the researcher what to know how people perceive smell based on their age or how age determine people sense of smell.
The outcome that could be found based on the research is that as people age or grow older their sense of smell decrease or begins to decrease, which simply means that younger people have strongest sense of smell than older people.
Inconclusion If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.
Learn more about Cross-sectional here:
https://brainly.com/question/1900606
7,218 round off thousand
What is 10/13 in a decimal rounded to the nearest 100
Answer:
0.77
Step-by-step explanation:
10/13 as a decimal is 0.769230
0.769230 to the nearest 100 is 0.77
Hope this helps :D
Simplify the numerical expression:
(0.05)(-0.25)
A) -0.0125
B) 0.0125
C) -1.25
D) 1.25
Answer:
A) -0.0125
Step-by-step explanation:
-1/80 (fractional form)
HELP PLEASE
-8b= 2d-2/h
solve for d
Answer:
[tex]{ \rm{ - 8b = 2d - \frac{2}{h} }} \\ \\ { \rm{ - 8b + \frac{2}{h} = 2d}} \\ \\ { \boxed{ \rm{d = - 4b + \frac{1}{h} }}}[/tex]
find the next two terms of the sequence 1.1 , 2.2 , 3.3, 4.4, ….. A) 4.5, 5.5 B ) 5.6 C) 5.6, 6.7 D) 5.5, 6.6
Answer:
D)
Step-by-step explanation:
Which of the following is equal to the expression below?
(8 x 320)^1/3
ОА.
835
OB.
30
Ос.
40
OD
1036
Reset
You have 30 chocolate candy but Jayna has 10 more chocolate candy than you and Amy has A what does A equal to ?
Answer:
40
Step-by-step explanation:
so it is just like a regular equation like 30+10=40 but your just finding what A means so 40 yea
The quantities x and y are proportional. Find the constant of proportionality (r) in the equation y=rx
Answer:
y=rx 1/4/5/5/5
Step-by-step explanation:
Answer:
r = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The proportional equation is
y = rx ( divide both sides by x )
[tex]\frac{y}{x}[/tex] = r
Substitute any ordered pair from the table
Using (14, 7 ) , then
r = [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex]
please help! & please explain your answer!!
Answer:
9Step-by-step explanation:
Plan A remains with $450 stable charge and Plan B is:
200 + 30x, with x being the number of physical training sessionsIn order Plan B to be cheaper we set an inequality:
200 + 30x < 45030x < 250x < 250/30x = 8.33 < 9Given the function f(x)= e^3x, write an expression that represents the derivative of f using the limit shown below.
Answer:
f'(x)=6x+8
Step-by-step explanation:
PLEASE HELP
A. identify the vertex
B. Identify the intercept
C. Write the equation of the graph above
D. Fill in the end behavior:
As x , y ____
As x 3, y ____
E. Identify the domain and range:
We want to identify different things on the given graph.
The solutions are:
A) (3, -1)
B) x = 4
C) x = y^2 + 2y + 4
D) x ⇒ ∞, y ⇒ ∞
x⇒3, y⇒ -1
A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)
B) This is the point where the graph intercepts the x-axis, x = 4.
C) we want to write the equation, we start with the general parabola, this time as a function of y:
x = a*y^2 + b*y + c
Remember that the x-itercept is at x = 4. then c = 4.
x = a*y^2 + b*y + 4
The y-value of the vertex is -1, while the general y-value of the vertex is:
y = -b/2a = -1
And evaluating the equation in this value, gives us:
x = a*(-1)^2 + b*-1 + 4 = 3
Then we have two equations:
-b/2a = -1
a + -b + 4 = 3
We can rewrite the first one as:
-b = -2a
b = 2a
Now we can replace this on the other equation:
a - 2a + 4 =3
-a + 4 = 3
-a = 3 - 4 = -1
a = 1
And b = 2a = 2*1 = 2
Then the equation of the parabola is:
x = y^2 + 2y + 4
D) We can see that as x grows, y increases, so we can say that:
x ⇒ ∞, y ⇒ ∞
And for the other limit we can see that as x tends to 3, y tends to -1, then:
x⇒3, y⇒ -1
If you want to learn more, you can read:
https://brainly.com/question/21685473
please solve the equation and describe what mistake asif did
Answer:
1/2
Step-by-step explanation:
8×+1=5
8×=5-1
8×=4
×=4/8=1/2
HELP ME PLEASE!! I"M TRYING :(
Answer:
3/8×4/5
= 3/10
...........
option a
Answer:
3/10Step-by-step explanation:
HOPE IT HELPS U!!!!Find the GCF for the pair of numbers. 9,4
The GCF of numbers is the greatest common factor of the numbers.
The numbers are given as: 4 and 9.
Factorize both:
[tex]\mathbf{4 = 1 \times 2 \times 2}[/tex]
[tex]\mathbf{9 = 1 \times 3 \times 3}[/tex]
The common factor between both is 1.
So, we have:
[tex]\mathbf{GCF = 1 }[/tex]
Hence, the GCF of 4 and 9 is 1
Read more about GCFs at:
https://brainly.com/question/20061154
please answer i need help.
Given that AABC ADEF, find the length of side DF Show the equation and ALL algebra used to solve for the length of DE
Answer:
the length of side DF is 19
Step-by-step explanation:
you first need to find what x=
sides AB=DF AC=DE BC=FE
so we can say that 3x+1=19
3x+1=19
-1 -1
3x=18
÷ by 3
x=6
then DF os 2x+7
so 2(6)+7
12+7=19
Write -7 / 9 as a rational number 3 different ways.
Which number is different from the others? 100, 300, 400, 900, 81, 25, 3600
15 POINTSSSSSS
Answer:
81 is the answer
Step-by-step explanation:
:>>>>>>>>
The length of a 10-minute video is decreased by 45% when the video is edited. What is the length of the edited video?
Answer:
The edited video would now be 5 Minutes 50 Seconds
Step-by-step explanation:
10-4.5=5.5
To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8).
Step-by-step explanation:
its 5.5 mins
here are the methods
1-0.45= 0.55 0.55*10= 5.5
or
its
45/100= 0.45 0.45*10min= 4.5 10mins-4.5mins= 5.5 mins
M is the midpoint of segment AB.
AM=13x
BM=8x+10
AB=
the cost is 15,000.00 and a markup of 90%
help plez :)
In comparing two distributions, which attribute would you not compare?
A. Joint frequency
B. Shape
C. Spread
D. Center
Answer:
If joint frequency isn't an option it is Marginal frequency
Joie buys lunch at a local café for $8.60. If she leaves a 15% tip, how much does she spend at the café?
Answer:
$9.89
Step-by-step explanation:
1. Divide 15 from 100, which leaves you with 0.15%.
2. Multiply 8.60 and .15; that will get you 1.29.
3. Finally, add 1.29 to 8.60 to get your answer!
Buffalo Bart’s Endless Wings charges $5.60 for sides and a drink, and then $0.40 per chicken wing. The Spicy Chicken charges $10 for sides and a drink, and then $0.20 per chicken wing. About how many chicken wings must be purchased so that the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken is the same?
Answer:
22.
Step-by-step explanation:
About 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.
Let's represent the number of chicken wings as "x".
The total cost at Buffalo Bart’s Endless Wings would be the sum of the initial cost for sides and a drink ($5.60) and the cost per chicken wing ($0.40 per wing times x):
Total cost at Buffalo Bart’s Endless Wings = $5.60 + $0.40x
The total cost at The Spicy Chicken would be the sum of the initial cost for sides and a drink ($10) and the cost per chicken wing ($0.20 per wing times x):
Total cost at The Spicy Chicken = $10 + $0.20x
To find the number of chicken wings where the total costs are the same, we'll set up an equation:
$5.60 + $0.40x = $10 + $0.20x
Now, solve for "x":
$0.40x - $0.20x = $10 - $5.60
$0.20x = $4.40
Divide both sides by $0.20:
x = $4.40 / $0.20
x = 22
So, about 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.
To learn more on Equation click here:
https://brainly.com/question/10413253
#SPJ3
What is a unit rate $140 for 18 ft.²
Answer:
$7.78
Step-by-step explanation:
140/18 = 7.78
please help I domt understand
Answer:should be d
Step-by-step explanation:
Answer:
option 2
Step-by-step explanation:
[tex]D = \dfrac{3}{2}W\\\\w = 80 \ lbs\\\\D =\dfrac{3}{2}*80\\\\=3*40\\\\D = 120 mg[/tex]
PLEASE HELP ME
the linear functions f(x) and g(x) are represented on the graph where g(x) is a transformation
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C:
an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer/Step-by-step explanation:
Given :
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
To Find: two types of transformations that can be used to transform f(x) to g(x).
=================================================================
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Solution Part A:
f(x) = x/5 + y/(-10) = 1
=> 2x - y = 10
=================================================================
Part B: Solve for k in each type of transformation. (4 points)
Solution Part B:
g(x) = x/(-3) + y/6 = 1
=> 2x - y = - 6
=================================================================
an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Solution Part C:
Transformations :
g(x) = f(x) + 16
g(x) = f(x + 8)