Answer:
15y +6
Step-by-step explanation:
3(5y+2)
Distribute
3*5y +3*2
15y +6
Answer:
For Question 3, all you have to do is subtract 5 from both sides of the equation, then divide by -3, which will leave you with 5 as the answer.
-3x + 5 = -10
-3x = -15x
x = 5
Answer:
There is nothing below.
Step-by-step explanation:
Answer: rectangle.
Step-by-step explanation:
Given points: K(0,0) I(2,2) T(5,-5) E(7,-3)
Distance formula to find distance between
and
: ![AB=\sqrt{(d-b)^2+((c-a)^2}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%28d-b%29%5E2%2B%28%28c-a%29%5E2%7D)
![KI=\sqrt{(2-0)^2+(2-0)^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\ units](https://tex.z-dn.net/?f=KI%3D%5Csqrt%7B%282-0%29%5E2%2B%282-0%29%5E2%7D%3D%5Csqrt%7B4%2B4%7D%3D%5Csqrt%7B8%7D%3D2%5Csqrt%7B2%7D%5C%20units)
![KT=\sqrt{(5-0)^2+(-5-0)^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt{2}\ units](https://tex.z-dn.net/?f=KT%3D%5Csqrt%7B%285-0%29%5E2%2B%28-5-0%29%5E2%7D%3D%5Csqrt%7B25%2B25%7D%3D%5Csqrt%7B50%7D%3D5%5Csqrt%7B2%7D%5C%20units)
![TE=\sqrt{(7-5)^2+(-3+5)^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\ units](https://tex.z-dn.net/?f=TE%3D%5Csqrt%7B%287-5%29%5E2%2B%28-3%2B5%29%5E2%7D%3D%5Csqrt%7B4%2B4%7D%3D%5Csqrt%7B8%7D%3D2%5Csqrt%7B2%7D%5C%20units)
![IE=\sqrt{(7-2)^2+(-3-2)^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt{2}\ units](https://tex.z-dn.net/?f=IE%3D%5Csqrt%7B%287-2%29%5E2%2B%28-3-2%29%5E2%7D%3D%5Csqrt%7B25%2B25%7D%3D%5Csqrt%7B50%7D%3D5%5Csqrt%7B2%7D%5C%20units)
i.e. KI = TE and KT= IE, so opposite sides equal.
It can be a parallelogram or rectangle. [if all sides are equal it would be square or rhombus]
![IT=\sqrt{(5-2)^2+(-5-2)^2}=\sqrt{3^2+7^2}=\sqrt{9+49}=\sqrt{58}\ units](https://tex.z-dn.net/?f=IT%3D%5Csqrt%7B%285-2%29%5E2%2B%28-5-2%29%5E2%7D%3D%5Csqrt%7B3%5E2%2B7%5E2%7D%3D%5Csqrt%7B9%2B49%7D%3D%5Csqrt%7B58%7D%5C%20units)
![KE=\sqrt{(7-0)^2+(-3-0)^2}=\sqrt{7^2+3^2}=\sqrt{9+49}=\sqrt{58}\ units](https://tex.z-dn.net/?f=KE%3D%5Csqrt%7B%287-0%29%5E2%2B%28-3-0%29%5E2%7D%3D%5Csqrt%7B7%5E2%2B3%5E2%7D%3D%5Csqrt%7B9%2B49%7D%3D%5Csqrt%7B58%7D%5C%20units)
IT= KE, i.e. diagonals are equal.
It means KIET is a rectangle.