There's a right angle that they want you to make a rectangle out of. I'm ignoring that and using each of the five sides to make a triangle with the origin.
A. Five triangles, zero rectangles.
B.
AB=4, the difference of the x coordinates since the y coordinates are the same
AE = 5, the difference in the y coordinates since the x coordinates are the same
C. We'll use the Shoelace Formula, adding up all those triangles I made. A triangle with vertices (0,0), (a,b), (c,d) has signed area A = (1/2)(ad-bc). We go around counterclockwise so they all have positive areas, starting with AE, then ED, DC, CB, BA.
Area = (1/2) ( (-2)(-2) - 3(-2) + (-2)(-4) - (-2)(0) + 0(-2) - (-4)(5) + 5(3) - (-2)(2) + 2(3) - (3)(-2))
Area = 69/2
Answer:
2
Step-by-step explanation:
5(a - b) + 6(a + b) - 7(a - 2b) = 5a-5b+6a+6b-7a+14b= 4a + 15b
Perimeter is the sum of all three sides so in this case x+(3x+2)+(3x+2).
They also gave us the perimeter which is 39 so
39= x+(3x+2)+(3x+2)
Simplify so 39=7x+4. [x+3x+3x=7x and 2+2=4]
Then get x by itself so subtract 4 from both sides.
35=7x
Then divide both sides by 7 to get x by itself.
Which leaves us with
X=5
Answer:
2
Step-by-step explanation:
If you have one apple and your friend has one apple, then the total number of apples shared between you and your friend is two.