Answer:
A) 0
Step-by-step explanation:
When x is divided by 11, we have a quotient of y and a remainder of 3
x/11 = y + 3
x = 11y + 3 ........(1)
When x is divided by 19, we have a remainder of 3 also
x/19 = p + 3 (p = quotient)
x = 19p + 3 ..........(2)
Equate (1) and (2)
x = 11y + 3 = 19p + 3
11y + 3 = 19p + 3
11y = 19p + 3 -3
11y = 19p
Divide both sides by 11
11y/11 = 19p/11
y = 19p/11
y and p are integers. 19 is a prime number. P/11 is also an integer
y = 19(integer)
This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0
Answer:
1st number: 22
2nd number: 16
3rd number: 64
Step-by-step explanation:
x + y + z = 102
x = 6 + y
z = 4y
plug that in!
(6 + y) + y + (4y) = 102
get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.
6 + 6y = 102
move 6 to the other side.
6y = 96
y = 16
now that you know one number, you can solve the equations for the rest!
x = 6 + (16)
z = 4(16)
__________________________________________________________
x = 22
y = 16
z = 64
Answer:
When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese.
Step-by-step explanation:
Answer:
B) 421
Step-by-step explanation:
√2 + √-18
√2 + √9·-2
√2 + 3√-2
(3 +1 )(√2 ·√-2) = 2i
4 · 2i
