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LiRa [457]
3 years ago
6

Find the area of a triangle with vertices of A(3, 3), B(5, 4), and C(0, 2).

Mathematics
1 answer:
Butoxors [25]3 years ago
7 0
A(x_A;\ y_A);\ B(x_B;\ y_B);\ C(x_C;\ y_C)\\\\A_\Delta=\frac{1}{2}| \left|\begin{array}{ccc}x_B-x_A&y_B-y_A\\x_C-x_A&y_C-y_A\end{array}\right||\\=================================\\A(3;\ 3);\ B(5;\ 4);\ C(0;\ 2)\\\\A_\Delta=\frac{1}{2}| \left|\begin{array}{ccc}5-3&4-3\\0-3&2-3=\end{array}\right||=\frac{1}{2}|\left|\begin{array}{ccc}2&1\\-3&-1\end{array}\right||\\\\\\=\frac{1}{2}|2(-1)-1(-3)|=\frac{1}{2}|-2+3|=\frac{1}{2}|1|=\frac{1}{2}\ (u^2)
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There were approximately 1.6 * 10 pieces of mall processed by the United States Postal
mihalych1998 [28]

Answer:

x = 2.13 × 10^11

Approximately 2.13 × 10^11 mails were processed in 2006

Completed question;

There were approximately 1.6 * 10^11 pieces of mall processed by the United States Postal

Service in 2012. This is about 75% of the number of pieces of mail processed in 2006.

Approximately how many pieces of mail were processed by the United States Postal Service in

2006​

Step-by-step explanation:

Let x represent the number of mails processed in year 2006

Given;

Number of mails processed in 2012 N = 1.6 × 10^11

Number of mails processed in 2012 N is about 75% of the number of pieces of mail processed in 2006.

So;

N = 75% of x

N = 0.75x

x = N/0.75

x = (1.6 × 10^11)/0.75

x = 2.13 × 10^11

Approximately 2.13 × 10^11 mails were processed in 2006

3 0
3 years ago
The spinner for a board game has eight colors the arrow can land on. What are the degrees of freedom for a goodness-of-fit test
Juliette [100K]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Number of colors that the arrow can land on = 8

We need to find the degrees of freedom for a goodness of fit test of the fairness of this spinner.

As we know that degree of freedom is 1 less than the size of sample.

So, Mathematically, it is expressed as below:

So, Degree of freedom would be

v=n-1\\\\v=8-1\\\\v=7

Hence, Option 'c' is correct.

7 0
3 years ago
Which counterexample can be used to show that the following conjecture is false?
vitfil [10]

1and2 are supplementary angles is conjecture is false

7 0
2 years ago
Which expression is equivalent to<br> (6x-9x) - (2x - 3)?
NikAS [45]

Answer:

6x^2 -9x  -2x-3

6x^2 -11x +3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Evaluate the expression when r = 8.2 and s = –3.7.
kiruha [24]
When you plug in the numbers for the integers, you get
8.2-2(-3.7)
If you multiply -2 and -3.7, you get 7.4 because the negatives cancel each other out.
If you then add 8.2, you get 15.6. So the answer is D.
Hope it Helps!  :)
8 0
3 years ago
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