Answer:
The two digit number is 35.
Step-by-step explanation:
Let xy be the two digit number
According to given statement
The place value of xy is 10x+y
Reversing the number will be: 10y+x
It is also mentioned that the new number is previous number increase by 18
So,
From equation 2
Putting in equation 1
Putting x = 3 in equation 1
xy = 35
Hence,
The two digit number is 35.
Either -1/2 or -0.5. Either will work
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:
Step-by-step explanation:
Answer:
$20
Step-by-step explanation:
simple maths
