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Paul [167]
3 years ago
12

I need help before 10:00pm tonight

Mathematics
1 answer:
Citrus2011 [14]3 years ago
7 0

The answer is B. The data is similar throughout the line.

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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
1 1/4 divided by 2/3
Ksju [112]

Answer:

1.875

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A pilot can travel 540 miles with the wind in the same amount of time as 380 miles against the wind. Find the speed of the wind
stepladder [879]
T=d/v

540/(230+w)=380/(230-w)

540(230-w)=380(230+w)

124200-540w=87400+380w

124200-920w=87400

-920w=-36800

w=40

So the wind speed is 40 miles per hour.
5 0
3 years ago
Which expression has a positive quotient?
Dimas [21]
A because two negatives make a positive
4 0
3 years ago
Read 2 more answers
Please help!! ASAP
Kryger [21]

Answer:

The answer is 117.3 in^{3}.

Step-by-step explanation:

To solve for the volume of the cone, use the cone volume formula, which is   V = \frac{1}{3} \pi  r^{2} h.

Next, plug in the information given from the problem, and the formula will look like V = \frac{1}{3} (\pi) (4 in^{2}) (7 in).

Then, solve the equation, and the answer will be 117.3 in^{3}.

6 0
3 years ago
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