Consider the quadratic equation ax2 + bx +5 = 0, where a, b, and c are rational numbers and the quadratic has two disticnt zeros.

Step-by-step explanation:

x2 + bx +5 = 0,

where a,b and c are rational numbers.

Also it is given that the quadratic has 2 distinct zeros and one of it's zero is irrational.

We know that if it has a one irrational zero, the conjugated couple of the one zero is also a null with the same polynomial balance for a polynomial equation with rational coefficients." Therefore, in this case it is a quadratic equation, one is null and irrational; thus, the other zero is irrational.

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.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have