Find two consecutive integers such that the sum of their squares added to the lesser number equals 21

Two consecutive numbers are x and x+1.

Clearly, x is the lesser, and x+1 is the largest.

The sum of their squares is

If we add this sum and the lesser we have

We want this quantity to be 21, so we have

The solutions of this equation are

Since we want integers, the numbers are -4 and -3.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

its a straight line parallel to the time axis