Billy plotted -3/4 and - 1/4 on a number line to determine that -3/4 is smaller than - 1/4

is he correct? explain why or why not.

Billy is totally right. Please read the explanation below.

Step-by-step explanation:

1. Let's help Billy to determine if he's correct or not.

Given these two negative numbers, the one who will be at the left is the lowest and the one who is on the right is the highest.

As Billy already did, he found that:

-3/4 < -1/4 or -1/4 > -3/4

In this particular case, -1/4 is closer to point zero because its equivalent in decimal number - 0.25, is higher than - 0.75, the decimal number equivalent to -3/4. When we compare two negative numbers, the one that is close to zero on a number line is the highest and the one that is more distant to zero is the lowest. Note that when we compare two positive numbers, this reasoning changes totally, the lowest will be the one close to zero on the number line and the highest the one distant from zero.

Billy is totally right.

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.