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:
<h2>A</h2>
Step-by-step explanation:
y > 0 - the region above the line together with that line
y ≥ 0 - the region above the line together with that line
y < 0 - the region below the line without that line
y ≤ 0 - the region below the line together with that line
We have:
y > 2 - the region above the line together with that line
y ≥ 2x - 3 - the region above the line together with that line
<em>look at the picture</em>
The common part is the solution.
The computer salesman would have to sell 12 computers.
Find a common denominator that 8 and 3 can go into.. which is 24
5/8 = 1/3
15/24 - 8/24
7/24
Hope this helped
Answer:the answer is c
Step-by-step explanation:
