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Fill in the blanks to express the quantities given in ratio language. Ratios must be

expressed in simplest form.

Number of Students in Each Grade:

.

SE

Grade

Students

6th Grade

7th Grade

8th Grade

42

For every

students in 8th Grade, there are

students in 6th Grade.

Submit Answer

attempt 1 out of 2

glide reflection.

its mainly because the pattern will be infinite and will never end. it will look like a gilder or like a filpbook when set to motion.

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81

your answer is option c.