Answer:
b. All real numbers
Step-by-step explanation:
Simplify:
- 5(x-2) = (15x+6)/(3) - 12
- 5x - 10 = 5x + 2 - 12
- 5x - 10 = 5x - 10
- -10 = -10
- 0 = 0
Since both sides are equal to each other, any value of x makes this equation true.
Answer:
(i) The length of AC is 32 units, (ii) The length of BC is 51 units.
Step-by-step explanation:
(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

If we know that
and
, then:


The length of AC is 32 units.
(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:


If we know that
and
, then:


The length of BC is 51 units.
Answer:
The formula for figuring this out is pretty straightforward, all you have to do is multiple the length of the room by the width. So if your room is 10 feet by 12 feet, 10 x 12 = 120 square feet.
Step-by-step explanation:
We need to get the variable on one side (usually the left side) and all other constants (like numbers and certain symbols like

) on the opposite side of the variable (usually the right side).
4(2s - 1) = 7s + 12 // Our starting equation
8s - 4 = 7s + 12 // Distribute the 4 across the 2s and the -1
s - 4 = 12 // Subtract both sides by 7s
s = 16 // Add both sides by 4
The variable s is equal to 16.