1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oxana [17]
4 years ago
6

How many triangles form by the diagonals from a fixed vertex has 11 12 13 14 15 sided polygon

Mathematics
1 answer:
djyliett [7]4 years ago
3 0
If we draw diagonals from a fixed vertex of a n sided polygon, there will be (n-2) number of triangles formed. 
So for n=11, number of triangles formed = 9
for n=12, number of triangles formed = 10
for n=13, number of triangles formed = 11
for n=14, number of triangles formed = 12
for n=15, number of triangles formed = 13

You might be interested in
F(x)=2x^2-x-10 part a: what are the X intercepts of the graph of f(x)? Show your work
Genrish500 [490]
A. x intercepts are where the graph hits the x axis or where f(x)=0
0=2x^2-x-10
solve
hmm
we can use the ac method
multiply 2 and -10 to get -20
what 2 numbers muliply to get -20 and add to get -1 (the coefint of the x term)
-5 and 4
split the midd into that
0=2x^2+4x-5x-10
group
0=(2x^2+4x)+(-5x-10)
factor
0=2x(x+2)-5(x+2)
undistribute
0=(x+2)(2x-5)
set each to 0
0=x+2
0=-2

0=2x-5
5=2x
5/2=x

x intercepts are at x=-2 and 5/2 or the points (-2,0) and (5/2,0)


B. ok, so for f(x)=ax^2+bx+c
if a>0, then the parabola opens up and the vertex is a minimum
if a<0 then the parabola opens down and the vertex is a max

f(x)=2x^2-x-10
2>0
opoens up
vertex is minimum

ok, the vertex

the x value of  the vertex in f(x)=ax^2+bx+c= is -b/(2a)
the y value of the vertex is f(-b/(2a)) so
given
f(x)=2x^2-x-10
a=2
b=-1
-b/2a=-(-1)/(2*2)=1/4
f(1/4)=2(1/4)^2-(1/4)-10
f(1/4)=2(1/16)-1/4-10
f(1/4)=1/8-1/4-10
f(1/4)=1/8-2/8-80/8
f(1/4)=-81/8
so the vertex is (1/4,-81/8) or (0.25,-10.125)


C. graph the x intercepts and the vertex
the vertex is min and the graph goes through the x intercepts
4 0
3 years ago
30% of students at Greenville High School participate in a sport. There are 540 students in the school. How many students in the
ivanzaharov [21]

Answer:

162 student play sports

Step-by-step explanation:

.3 represents 30 precent, so multiply 540 by .3 to get your awnser this is because the .3 is less than one so the multiplying will not raise the number but lower it to 162

6 0
3 years ago
Who can solve Multi-Step Literal Equations?: n/r=D/b
Nata [24]

Answer:

i/=-d:./k/-= sorry

Step-by-step explanation:

4 0
4 years ago
Which equation finds the volume of a cube with a side length of 2n6 units?
Xelga [282]

Answer:

Volume of the cube = (2n6)³

Step-by-step explanation:

Volume of a cube = L*B*H

Volume of a cube= L*L*L=L³ (since all the sides of the cube are equal.

Volume of the cube = (2n6)³

7 0
3 years ago
What is the answer to this please?
sergij07 [2.7K]
The answer of the rotational symmetry is B, (6)
4 0
3 years ago
Other questions:
  • dona ate7/12. box of popcorn. Jack ate 4\10 box of popcorn the boxes of popcorn are the same size.write to explain how to use a
    7·1 answer
  • Estimate the sale price of a $349.99 40 inch plasma tv that is 20% off. write one or two sentence to explain your estimation str
    7·1 answer
  • I need help asap :$:))::)
    7·2 answers
  • Help help help help. Help
    13·1 answer
  • PLSSS HELP 50 POINTS AND BRAINLIEST IF U R RIGHT HELP PLSSSSS
    5·1 answer
  • 2⁄5 of 3⁄4= ..... what this equal
    13·2 answers
  • How would you figure out how many samples of cookie dough can be given
    9·1 answer
  • Please help due soon :)
    14·1 answer
  • (please help!) <br> What is the length of AD?<br><br> AD=__
    10·1 answer
  • Simplify please <br> √20y³z²
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!