Answer:
x2 +8x +4y +4 = 0
4y= -x2 -8x -4y = -.25*x^2 -2x -1
a = -.25b = -2c = -1
x position of vertex:
h = -b / 2a
h = 2 / 2*-.25h = 2 / -.5h = -4
y position of vertex:
k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3
VERTEX = (-4, 3)*
x value of focus =x value of vertex = -4
y value of focus =(1 (-b^2 -4ac)) / 4a
a = -.25 b = -2 c =-1
y value = (1 (-4 -4*-.25*-1)) / 4*-.25
y value = (1 (-4 -4*-.25*-1)) / -1
y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2
focus value = (-4, 2)
Answer is the last one.
Answer: 4ab2 - 3a + 13b
Step-by-step explanation: (a•(b2))+13b)-4a)+(3ab2+a)
Factoring 4ab2 - 3a + 13b
Answer:
The no. of boys = 20
The no. of girls = 12
Step-by-step explanation:
Ratio of no. of boys to girls = 5 : 3
[5 multiplied with something, and 3 multiplied with something, added together makes 32.Thus, that something = x]
5x + 3x = 32
= 8x = 32
=x = 32÷8 = 4
5x = 5 x 4 = 20
3x = 3 x 4 = 12