Find the least common multiple of the pair of polynomials.

2y^2 - 50 & y - 5

The least common multiple is 2y^2 - 50.

Step-by-step explanation:

Least common multiple means the lowest thing you can multiply them both to. For example, the LCM of 2 and 4 is 2, because 2*2 = 4 and 4*1 = 4.

First, factor 2y^2 - 50.

2 (y^2 - 25)

2 (y - 5)(y + 5)

Looks like if we wanted to get 2y^2 - 50 starting with y - 5, we'd have to multiply it by 2(y + 5).

2y^2 - 50 * 1 = 2y^2 - 50

y - 5 * 2(y + 5) = 2y^2 - 50

So their least common multiple is 2y^2 - 50.

1. is 4 and 2. is 3

step-by-step explanation:

so if you look at the first one you see that 1 is to 4 and 2 is to 8 and so on, so you can see for every 1 there is a times 4 so if it were 3 then it would be 3*4 and it is 12

for number 2 it is 3 because 1 is to 3 and 2 is to 6 so for every 1 there is 3 so if it were 3 then there would be 3*3 = 9

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'.