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schepotkina [342]
3 years ago
10

Please help and explain

Mathematics
1 answer:
stellarik [79]3 years ago
8 0
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM 
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A parabola is given by the equation y = x2 + 4x + 4.
notsponge [240]

Answer:

the vertex of the parabola is:(-2,0)

the focus of the parabola is:(-2,\frac{1}{4})

the directrix of the parabola is:y=\frac{-1}{4}

Step-by-step explanation:

we know that for any general equation of the parabola of the type y=ax^{2} +b x+c the vertex of the parabola is given by (h,k)

where h=\frac{-b}{2 a} and k=\frac{4 a c-b^{2} }{4a}

therefore by the given data we have h=-2 and k=0

hence vertex=(-2,0)

the general equation of the parabola of the type 4 a (y-h)=(x-k)^2 ; the parabola symmetric around the y-axis has the focus from the centre i.e. the vertex (h,k) at a distance a as (h,k+a) and the directrix is given by y=k-a

so focus is (-2,\frac{1}{4} )

now the directrix of the parabola is y=\frac{-1}{4}.




3 0
3 years ago
the mean height of the 30 children in a room is 76 cm james whose height is 107 cm went into the room what is the new mean of th
Snezhnost [94]

Answer:

The new mean is 77cm

Step-by-step explanation:

If the mean height of the 30 children in a room is 76 cm, then the sum of their ages is

30 \times 76 = 2280cm

If James with height 107cm joins them, then the total number of children now becomes 30+1=31 and the total height becomes: 2280cm+107cm=2387cm

The new mean now becomes:

\bar x =  \frac{2387}{31}  = 77cm

4 0
3 years ago
A farmer saw some chickens and pigs in a field. he counted 30 heads and 84 legs. determine exactly how many chickens and pigs he
loris [4]
12 pigs×4 legs=48 legs
18 chickens×2 legs=36 legs
48 legs+36 legs=84 legs

12 are pigs and 18 are chickens
8 0
3 years ago
Explain box and whisker and how does it work?
bezimeni [28]

a box plot is a graph that summarizes numerical data based on quartiles, which divide a data set into fourths

4 0
2 years ago
I need help please .
LuckyWell [14K]

Answer:

b

Step-by-step explanation:

6 0
2 years ago
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