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andreev551 [17]
1 year ago
7

the vertex of this parabola is at (-5,-2) when the x value is -4 the y value is 2 . what is the coefficient of the squared expre

ssion in the parabola's equation
Mathematics
1 answer:
saw5 [17]1 year ago
3 0

The <em>vertex</em> coefficient of the parabola with vertex (- 5, - 2) and the point (- 4, 2) is equal to 1.

<h3>What is the vertex coefficient of the equation of the parabola?</h3>

In this question we must find the <em>vertex</em> coefficient of the equation of the parabola, which is the <em>vertex</em> form of the <em>quadratic</em> equation:

y - k = C · (x - h)²

If we know that (h, k) = (- 5, - 2) and (x, y) = (- 4, 2), then the vertex coefficient is:

2 - (- 2) = C · [- 4 - (- 2)]²

4 = C · (- 2)²

C = 1

The <em>vertex</em> coefficient of the parabola with vertex (- 5, - 2) and the point (- 4, 2) is equal to 1.

To learn more on parabolas: brainly.com/question/4074088

#SPJ1

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Explanation:

There are 13 hearts, including the queen of hearts. Then there are 3 more queens to get us to 13+3 = 16 cards we're after.

There are 16 cards we want out of 52 total, so the probability is 16/52 = (4*4)/(4*13) = 4/13

3 0
2 years ago
You can mow 800 square feet of lawn in 15 minutes at this rate how many minutes will it take you to mow a lawn that measures 600
Natalija [7]
If you would like to know how many minutes will it take you to mow a lawn that measures 6000 square feet, you can calculate this using the following steps:

800 square feet ... 15 minutes
6000 square feet ... M minutes = ? 

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3 years ago
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6 0
3 years ago
Find the area of the shape shown below.
hichkok12 [17]

Answer:

26.75 units ^2

Step-by-step explanation:

Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:

Triangle 1 = 1/2 x 2 x 5 = 5 units ^2

Triangle 2 = 1/2 x 2 x 2 = 2 units ^2

Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2

Square = 2 x 2 = 4 units squared.

Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.

Hope this helps

6 0
3 years ago
Which of the following systems of inequalities has point D as a solution? Two linear functions f of x equals 3 times x plus 4 an
Pani-rosa [81]

Answer:

B) f(x) ≥ 3x + 4

g of x is less than or equal to negative one half times x minus 5

Step-by-step explanation:

From the above graph,  

If point B is the solution of the system of inequalities, then point B must satisfies both inequalities  

We can see from the graph that

Point B is located above (≥) the boundary line for f(x) and is also below (≤) the boundary line for g(x).

So we can say,

Point b satisfies the inequalities

Therefore,  

The system is  

 f(x) ≥ (3x+4)

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Hopes this Helps :)

8 0
3 years ago
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