(a) Find the point at which the given lines intersect. r = 1, 3, 0 + t 3, −3, 2 r = 4, 0, 2 + s −3, 3, 0 (x, y, z) = $$ Correct: Your answer is correct. (b) Find an equation of the plane that contains these lines.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

so, converting firstly the mixed fractions to improper fractions and then "adding".