Answer:
19 units
Step-by-step explanation:
Plot points A(5,2), B(-1,4), C(-2,1) and D(4,-1) on the coordinate plane. Find lengths of all sides as distances between two points:
![AB=\sqrt{(-1-5)^2+(4-2)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\ units\\ \\BC=\sqrt{(-2-(-1))^2+(1-4)^2}=\sqrt{1^2+3^2}=\sqrt{1+9}=\sqrt{10}\ units\\ \\CD=\sqrt{(4-(-2))^2+(-1-1)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\ units\\ \\DA=\sqrt{(5-4)^2+(2-(-1))^2}=\sqrt{1^2+3^2}=\sqrt{1+9}=\sqrt{10}\ units](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%28-1-5%29%5E2%2B%284-2%29%5E2%7D%3D%5Csqrt%7B6%5E2%2B2%5E2%7D%3D%5Csqrt%7B36%2B4%7D%3D%5Csqrt%7B40%7D%3D2%5Csqrt%7B10%7D%5C%20units%5C%5C%20%5C%5CBC%3D%5Csqrt%7B%28-2-%28-1%29%29%5E2%2B%281-4%29%5E2%7D%3D%5Csqrt%7B1%5E2%2B3%5E2%7D%3D%5Csqrt%7B1%2B9%7D%3D%5Csqrt%7B10%7D%5C%20units%5C%5C%20%5C%5CCD%3D%5Csqrt%7B%284-%28-2%29%29%5E2%2B%28-1-1%29%5E2%7D%3D%5Csqrt%7B6%5E2%2B2%5E2%7D%3D%5Csqrt%7B36%2B4%7D%3D%5Csqrt%7B40%7D%3D2%5Csqrt%7B10%7D%5C%20units%5C%5C%20%5C%5CDA%3D%5Csqrt%7B%285-4%29%5E2%2B%282-%28-1%29%29%5E2%7D%3D%5Csqrt%7B1%5E2%2B3%5E2%7D%3D%5Csqrt%7B1%2B9%7D%3D%5Csqrt%7B10%7D%5C%20units)
The perimeter of the rectangle ABCD is
![AB+BC+CD+DA=2\sqrt{10}+\sqrt{10}+2\sqrt{10}+\sqrt{10}=6\sqrt{10}\approx 18.97\ units\approx 19\ units](https://tex.z-dn.net/?f=AB%2BBC%2BCD%2BDA%3D2%5Csqrt%7B10%7D%2B%5Csqrt%7B10%7D%2B2%5Csqrt%7B10%7D%2B%5Csqrt%7B10%7D%3D6%5Csqrt%7B10%7D%5Capprox%2018.97%5C%20units%5Capprox%2019%5C%20units)
Answer:
what table?
Step-by-step explanation:
Answer:
none of these triangles are similar
Step-by-step explanation:
for a triangle to be similar, they have to have the same angle measures
Answer: 6√2
Decimal Form:
8.48528137
Step-by-step explanation:
What you can do is split one of the binomials and then apply the distributive property if f(x) = (x + 3)(x -2) split the 1st binomial f(x) = x(x -2) + 3(x -2) now apply the distributive property to get
f(x)=x2−2x+3x−6
which simplifies to
f(x)=x2+x−6