Answer:
Step-by-step explanation:
1. here you go mate
step 1
6x - 12 < 6 equation
step 2
6x - 12 < 6 simplify
6x-12+12<6+12
step 3
6x<18 Divide both sides

answer
x<3
2. Here you go mate
step 1
2(3x-8) >8 equation
step 2
2(3x-8) >8 simplify
6x-16+16>8+16
step 3
6x>24 divide both sides

answer
x>4
C.) Are the same length
<u>How you know-</u>
No matter how long the rectangle is the diagonals always will measure the same length. Think about two sides of a square, they have to equal the same length because if they were not the same then the shape wouldn't be a square.
Answer:
The length of side x is 
Step-by-step explanation:
Pythagorean Theorem:
In a right triangle, with sides a and b, and hypothenuse h, we have that:

In this question:
The vertical line on the sides means that both are equal, that is, measuring x, so
.
Hypothenuse is the square root of 12. So 





The length of side x is 
Answer:
(-4, -3), (4, -1), (8, 0), (12, 1)
Step-by-step explanation:
The x- and corresponding y-values are listed in the table. Put each pair in parentheses, <em>x-value first</em>. (That is an <em>ordered pair</em>.)
(x, y) = (-4, -3) . . . . from the first table entry
(x, y) = (4, -1) . . . . from the second table entry
(x, y) = (8, 0) . . . . from the third table entry
(x, y) = (12, 1) . . . . from the last table entry