Answer:
1:3
Step-by-step explanation:
The difference of the squares of two distinct positive numbers is equal to twice the square of their difference. What is the ratio of the smaller number to the larger? I'll call the numbers a and b.
a² - b² = 2(a-b)²
a² - b² = 2(a-b)(a-b) First Outside Inside Last (a-b)(a-b)
a² - b² = 2(a²-ab-ab+b²) = 2(a²-2ab+b²) = 2a² - 4ab + 2b²
a² - b² = 2a² - 4ab + 2b² subtract a² - b² from both sides
<u>-a² + b² -a² + b²</u>
0 = a² -4ab +3b² factor into multiplication of two binomials. What factors (two
numbers multiply) to 3 add up to -4? The only two numbers
are -3 and -1.
0 = (a-3b)(a-1b) set each binomial equal to zero and solve
0 = a-3b or 0 = a-1b
<u>+3b +3b</u> or <u>+1b +1b</u>
3b = a or 1b = a
1:3 or 1:1 (but 1:1 says they are the same number, so if there is a smaller number, only 1:3 is correct)
Answer:
slope = 7
Y intercept = 2
Step-by-step explanation:
Answer:
they have the same slopes
Step-by-step explanation:
lines that have the same slope never touch therefore they are parallel.
hence the answer is A
Answer:
33.5 minutes
Step-by-step explanation:
At 5 mL/min, the full can of coke will be emptied in ...
... (335 mL)/(5 mL/min) = 67 min
The can will be half-empty (and the other can will be half-full) in half that time,
... (67 min)/2 = 33.5 min
No it is not a linear equation...in order for it to be linear it must be a straight line, but this line is curved slightly which prevents the pattern from being linear
