What is the solution of this equation -1/2n^2+18=0

(-6,0),(6,0) aka n=-6,6

Step-by-step explanation:

plugged it into desmos and got (-6,0),(6,0)

aka n=-6,6 but we need to find the right one so we plug each one in.

-1/2(-6)^2+18=0                          PEMDAS

-1/2(36)+18=0

-18+18=0

0=0                                            True

-1/2(6)^2+18=0

-1/2(36)+18=0

-18+18=0

0=0                                            True

they both work man idk what to tell ya. if it cant be both i would try 6 first.

btw desmos is a really awesome graphing calculator online. its great to be able to visualize equations.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

contact me if you have any questions you are welcome.