Step-by-step explanation:
Answer attached :)
Hope it helps :D
1.1 Factoring: 4x2+9y2+16z2-6xy-12yz-8xz
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6xy-12yz
Group 2: 16z2-8xz
Group 3: 4x2+9y2
Pull out from each group separately :
Group 1: (x+2z) • (-6y)
Group 2: (x-2z) • (-8z)
Group 3: (4x2+9y2) • (1)
Looking for common sub-expressions :
Group 1: (x+2z) • (-6y)
Group 3: (4x2+9y2) • (1)
Group 2: (x-2z) • (-8z)
From any proportion, we get another proportion by inverting the extremes (or the means):
= k
so we have:
2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k
x=
= -
The corect answer is A. -3/2
or:
From any proportion, we get another proportion by inverting the extremes and the means:
We use a property of proportions:
where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),
so we have
or
(you can check this also by "the product of the extremes equals the product of the means")
3y = - 2x
La forma estándar de una ecuación de un círculo es% 28x-h% 29% 5E2 +% 2B +% 28y-k% 29% 5E2 + = + r% 5E2
donde Pt (h, k) es el centro y r es el radio
x ^ 2 + y ^ 2-10x + 4y + 4 = 0
completando los cuadrados para ponerlos en la forma estándar
x ^ 2 -10x + y ^ 2 + 4y + 4 = 0
(x-5) ^ 2-25 + (y +2) ^ 2-4 + 4 = 0
(x-5) ^ 2 + (y + 2) ^ 2 = 25
El centro es (5, -2) radio = 5
104 fluid ounces equals to 13 cups.
