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3 years ago

Three noncollinear points determine a triangle. How many triangles can be formed with 8 points, no three of which are collinear?

Mathematics

1 answer:

Nataliya [291]3 years ago

5 0

Correct answer is A.

$C^8_3= \frac{8\times7\times6}{3\times2\times1}=56$

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Picking a month of the year in the day of the week (fundamental counting principle)

inysia [295]

Since you mentioned the fundamental counting principle, I assume you are looking for the total number of possibilities.

If you are picking a month, there are 12 options.
If you are selecting a day of the week, there are 7 options.

If you are doing both, you multiply the two numbers together.
12 x 7 = 84

8 0

3 years ago

Determine where the PHD Mathematicians live.

Pavlova-9 [17]

Answer:

the answer to A,B,C

Step-by-step explanation:

all the points are on the graph

all answers

b) slope -1

intercept 1

c)(x+3)(x-1)

intercepts (-3,0),(1,0)

vertex (-1,-4)

6 0

3 years ago

8/x-5 - 9/x-4 = 5/x^2-9x+20

adelina 88 [10]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2752942

_______________

Solve the equation:

$\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}$

Reduce the fractions at the left side so that they have the same denominator:

$\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}$

Numerators must be equal:

$\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}$

I hope this helps. =)

Tags: <em>rational equation fraction solution algebra</em>

7 0

3 years ago

ਕind me<br>When x = 4 and y = 3, find the value of:<br>a) 2x + 7y - 10

Andre45 [30]

Answer:

Step-by-step explanation:

by replacing x and y with their given values ,

we get :-

=》2x + 7y - 10

=》(2 × 4) + (7 × 3) - 10

=》8 + 21 - 10

=》29 - 10

=》19

5 0

3 years ago

Can there be more than,less than,or exactly one cup of water in a kitchen sink?

yulyashka [42]

Hello! Welcome to Brainly!

There would be more than.

A kitchen sink can hold approximately nine gallons of water.

Hope this helps you out fam!

~theLocoCoco

4 0

3 years ago

Read 2 more answers