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3 years ago

7

Jasper is giving four non-collinear points. How many different triangles can he draw using these points?

1 answer:

kotegsom [21]3 years ago

8 0

Answer:

4

Step-by-step explanation:

There are 4 ways to ignore one of the points. The other 3 can be connected to form a triangle.

_____

More formally, the number of ways that 4 items can be chosen 3 at a time is given by ...

... C(4, 3) = 4!/(3!(4-3)!) = 4/1 = 4

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How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2. X 2 6x – 4y = –10 one

nordsb [41]

The system of equations provides a unique solution(one solution) at (-0.6, 1.6).

<h2>Given to us,</h2>

$y=\dfrac{2}{3}x+2$
$6x-4y=-10$

<h3>Equation 2</h3>

As we already have the value of y from equation 1, substitute its value in equation 2,

$6x-4y=-10$

$6x-4(\dfrac{2}{3}x+2)=-10$

$6x-\dfrac{8}{3}x-8=-10$

$\dfrac{6x}{1}-\dfrac{8}{3}x=-10+8$

$\dfrac{6x\times 3}{1\times 3}-\dfrac{8}{3}x=-2$

$\dfrac{18x-8x}{3}=-2$

$10x=-6\\$

$x=\dfrac{-6}{10} \\\\x=-0.6$

<h3>Equation 1,</h3>

$y=\dfrac{2}{3}x+2$

substitute the value of x in equation 1,

$y=\dfrac{2}{3}(\dfrac{-6}{10})+2\\\\y = \dfrac{-2}{5}+2\\\\y= \dfrac{-2+10}{5}\\\\y = \dfrac{8}{5}\\\\y=1.6$

As we can see the system of equations provides a unique solution(one solution) at (-0.6, 1.6).

Learn more about the system of equations:

brainly.com/question/12895249

3 0

2 years ago

A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?

stepan [7]

Answer:

34343434343434343434

6 0

3 years ago

Help with this math problem right answers only points and brainlest!

Marina86 [1]

Answer: it is c because there is 4 balls for red and 3 balls for clear not the same there is more possibility for red

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Find an explicit rule for the nth term of the sequence.

exis [7]

Answer:

(a) The ONLY explicit rule for the nth term of the sequence is $a_n = 7 \times (-1)^{n-1}\\$ .

Step-by-step explanation:

Here, the given sequence is 7, -7, 7, -7, ...

The first term = 7, Second term = -7, Third term =-7 and so on..

Now check the given sequence for each given formula, we get:

(1) $a_n = 7 \times (-1)^{n-1}\\$

Now, for n = 1 : $a_1 = 7 \times (-1)^{1-1}\\$

$= 7 \times (-1)^0 = 7 \times 1 = 7 \implies a_1 = 7$

Similarly, for, n = 2: $a_2 = 7 \times (-1)^{2-1}\\$

$= 7 \times (-1)^1 = 7 \times (-1) = -7 \implies a_2 = -7$

Hence, the given formula satisfies the given sequence.

(2) $a_n = 7 \times (-1)^{n}\\$

Now, for n = 1 : $a_1 = 7 \times (-1)^{1}\\$

$= 7 \times (-1)^1 = 7 \times (-1) = -7 \implies a_1 = -7$

But, First term = 7

Hence, the given formula DO NOT satisfy the given sequence.

(3) $a_n = 7 \times (1)^{n-1}\\$

Now, for n = 1 : $a_1 = 7 \times (1)^{1-1}\\$

$= 7 \times (1)^0 = 7 \times 1 = 7 \implies a_1 = 7$

Similarly, for, n = 2: $a_2 = 7 \times (1)^{2-1}\\$

$= 7 \times (1)^1 = 7 \times (1) = 7 \implies a_2 = 7$

But, Second term = -7

Hence, the given formula DO NOT satisfy the given sequence.

(4) $a_n = 7 \times (1)^{n+1}\\$

Now, for n = 1 : $a_1 = 7 \times (1)^{1+1}\\$

$= 7 \times (1)^2 = 7 \times 1 = 7 \implies a_1 = 7$

Similarly, for, n = 2: $a_2 = 7 \times (1)^{2+1}\\$

$= 7 \times (1)^3 = 7 \times (1) = 7 \implies a_2 = 7$

But, Second term = -7

Hence, the given formula DO NOT satisfy the given sequence.

So, the ONLY explicit rule for the nth term of the sequence is $a_n = 7 \times (-1)^{n-1}\\$ .

8 0

3 years ago

1/2(10-12)=3<br> whats the answer plz show ur work<br> ill give brainlyist

Anika [276]

Answer:

I don't understand it there is supposed to be an (x) in the problem.

I got the answer 5-6=3.

Step-by-step explanation:

You do 1/2 times 10 and -12.

Or you divide 10 and -12 by 2.

5-6=3

6 0

2 years ago

Read 2 more answers