Find the equation of the line that passes through (2, 5) and is parallel to the line for 3x + 3y - 4 = 0. x + y - 7 = 0 2x + 5 y = 0 x + 2y -7 = 0 2x + y - 7 = 0

x + y - 7 = 0

Step-by-step explanation:

Parallel lines have the same slope. Find the slope by converting 3x + 3y - 4 = 0 into y=mx+b form.

3x + 3y - 4 = 0

3x + 3y = 4

3y = -3x + 4

y = -x + 4/3

The slope here is -1. Substitute -1 and the point (2,5) into the slope form to find the equation. Simplify the form.

y - 5 = -1 (x-2)

y - 5 = -x + 2

x + y - 5 = 2

x + y - 7 = 0

answer: a

step-by-step explanation:

10.2 units

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.