Answer:
D one solution.
Step-by-step explanation:
It's linear. It is going to have at most 1 solution
8 + x/6 = x/6 - 4 + 5x/12 Subtract x/6 from both sides
8 = -4 + 5x/12 Add 4 to both sides
8+4 = 5x / 12 Combine
12 = 5x / 12 Multiply both sides by 12
12 * 12 = 5x * 12 / 12 Cancel
144 = 5x Divide by 5
144/5 = 5x/5
28.8 = x
Answer:
a) 675 000
b) 685 000
Step-by-step explanation:
The population of a town is 680 000 correct to the nearest 10 000.
a) To find it lower bound, we level of accuracy by 2 and then subtract from 680 000
The lower bound is:
680 000-5000=675,000
Therefore the least possible population of the town is 675 000
b) We repeat the same process to find the upper bound
680 000+5000=685,000
As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:
Solving this proportion for x implies 
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:
Then, we know that the hypothenuse of the big triangle is m+p, so we have
which implies
Anything without a variable in front.
In other words, the constants are -3.7 and 1/3
No error - A and B are completely right, and using the subtraction law D is right
