Answer:

Step-by-step explanation:
Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.

Answer:
The volume of this given solid figure is 18 cubic units.
Step-by-step explanation:
Here, given the volume of 1 small cube = 1 cubic units
Now, counting the total cubes in the given solid figure, we get
Number of cubes in base row = 10
Number of cubes in middle row = 6
Number of cubes in top most row = 2
So, the total number of cubes in the figure = 10 + 6 + 2 = 18 cubes
So, the volume of 18 cubes = 18 ( Volume of 1 small cube)
= 18 x (1 cubic units) = 18 cubic units
Hence, the volume of this given solid figure is 18 cubic units.
Answer:
r = -9
Step-by-step explanation:
the less the negative number is the more it is .
Answer:
6a + 15
Step-by-step explanation:
Answer:
x>7 or x ≤ -3
Step-by-step explanation:
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).