Answer:
See attached
Step-by-step explanation:
The graph of a <u>proportional linear relationship</u> is a line that <u>passes through the origin</u> (0, 0).
From inspection of the given tables, the <u>linear equations</u> for each table of points is:
- Table 1: y = x + 1
- Table 2: y = x/2
- Table 3: y = x + 2
- Table 4: y = 2x + 1
The only equation for which y = 0 when x = 0 is y = x/2 → Table 2.
Given points from Table 2:
To <u>graph the line</u>, plot the given points and draw a line through them (see attached).
Answer:
x=10
Step-by-step explanation:
13x-7+7x-13=180
Combine like terms
20x-20 = 180
Add 20 to each side
20x -20+20 = 180+20
20x=200
Divide by 20
20x/20 = 200/20
x = 10
The GCF of 7 and 14a is 7, so the factors are:-
7(1 + 2a)
Answer:
4
Step-by-step explanation:
Given
x² - 4x + 10 = 0
subtract 10 from both sides
x² - 4x = - 10
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = - 10 + 4
(x - 2)² = - 6
To complete the square add 4
Answer:
-13
Step-by-step explanation:
6-7 x 6+7
-1 x 13
-13