Complete the following table by performing the following sequence of operations on the original number 4 6 8 10 Multiply the number by 4 Add 12 to the product
Divide the sum by 2
Subtract 6 from the quotient
a. 7, 12, 17, 20
b. 8, 12, 16, 20
C. 14, 18, 22, 26
d. 4, 6, 8, 10

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

you must evaluate the function f first.   division by 0 is undefined. therefore, the composition cannot be evaluated.

answer: as the alternate interior angles are congruent, the opposite

sides of quadrilateral abcd are parallel.

step-by-step explanation:

so, the missing phrase in elba's proof is: alternate

interior angles

let's break this statement up so we can find the answer:

by cpctc, angle abd is equal to angle cdb and angle adb is

equal to angle cbd.

since

angle abd is equal to angle cdb, this means that they are alternate interior angles

so, the correct answer would be: as the alternate interior angles are congruent, the opposite

sides of quadrilateral abcd are parallel.

two interior angles which lie on opposite sides of a

transversal   and on different parallel

lines and are called alternate interior angles.