Using pascal’s triangle, determine the first four terms of the expanded expression (x + y)4.

Step-by-step explanation:

Given is an algebraic expression raised to power 4

Let us write 4 rows of Pascal triangle

           1

      1    2    1

1         3    3     1

1    4    6     4    1

Thus we find coefficients as 1,4,6,4,1 and x will be having reduced powers while y will have increasing powers.

Hence expansion would be

answer: a

step-by-step explanation:

if xy ~ yz therefore xy would be the same length as yz

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'.