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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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15x^2 + 41x + 28 <br><br>STEP BY STEP ANSWER PLSSS​
maria [59]

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

7 0
3 years ago
Read 2 more answers
Sandra has a $20 itunes gift card and spends $3 each month. Which of the following functions models how much money Sandra has on
SCORPION-xisa [38]

Answer:

x3-20

Step-by-step explanation:

x stands for the month 3 is the money that she is spending each month if you multiply those together you get the amount of money she has spent over x amount of months minus the 20 dollars on her gift card

8 0
2 years ago
Pls ill give brainelist
Korvikt [17]

Answer:

Should be B

Step-by-step explanation:

5 0
2 years ago
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The difference in age between Brita and her daughter Eva is 30 years. The sum or their ages 118. How old is Eva?
Alona [7]

Answer:

Eva's age is 44 years

Step-by-step explanation:

Let

x ----> Brita's age

y ----> Eva's age

we know that

The sum or their ages 118

so

x+y=118 ----> equation A

The difference in age between Brita and her daughter Eva is 30 years

so

x-y=30 ----> equation B

Solve the system by elimination

Adds equation A and equation B

x+y=118\\x-y=30\\---------\\x+x=118+30\\2x=148\\x=74

<em>Find the value of y</em>

substitute the value of x in any equation

74+y=118\\y=118-74\\y=44

therefore

Eva's age is 44 years

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3 years ago
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