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drek231 [11]
3 years ago
7

What is the equation of the parabola, in vertex form, with vertex at (-2,-4) and

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer:

Step-by-step explanation:

The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation

(y-k)^2=4p(x-h) and h and k are the coordinates of the vertex. Filling in:

(y+4)^2=4(4)(x+2) which simplifies to

(y+4)^2=16(x+2) choice C

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A bathtub is being filled at a rate of 4 liters per minute. Can this situation be
geniusboy [140]

Answer:

<em>Yes, this is a linear function because the rate of change is constant</em>

Step-by-step explanation:

<u>Linear Functions</u>

We can recognize a linear relation between variables x and y when they can be represented by a formula like

y=mx+b

Where m is the rate of change and it has a constant value. More specifically, a proportional relationship is a special case where b=0, meaning that every value of y divided by the corresponding value of x, is constant.

The situation described in the question says a bathtub is being filled at a rate of 4 liters per minute. It means that every minute, 4 liters are constantly being added to the existing quantity. This is a constant rate of change, so the correct answer is

"Yes, this is a linear function because the rate of change is constant"

3 0
3 years ago
What is the square route of pi
vagabundo [1.1K]
It is simply would be: √π

= √3.14

= 1.7728

In short, Your Answer would be: 1.7728

Hope this helps!
7 0
4 years ago
Read 2 more answers
Suppose you know the area of the yard is 7,500 square feet. How can you find the value of a?
tia_tia [17]

Answer:

a = 50

Step-by-step explanation:

From the introduction, you know that the area is 3a^2

You also know that it is 7500 square feet. \

So the two must be equal

3a^2 = 7500                    Divide by 3

a^2 = 7500/3

a^2 = 2500

The square root of 2500 is 50

sqrt(a^2) = sqrt(2500)

a = 50

8 0
3 years ago
A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including
nekit [7.7K]

Answer:

$160.14

Step-by-step explanation:

15% of 174.45 = 26.16

174.45 - 26.16 = 148.28

8% of 148.28 = 11.86

148.28 + 11.86 = 160.14

5 0
3 years ago
What is <br> 4^ -3<br> 4^ -2<br><br> 2^ -3 + 3<br> 2^ -2 +3<br> 2^ -1 + 3
Scrat [10]
1/4³ or 1/64
1/4² or 1/16
1/2³ + 3 or 3 1/8 or 3.125
1/2²+3 or 1/4 +3 or 3 1/4 or 3.25
1/2¹ +3 or 3 1/2 or 3.5
6 0
3 years ago
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