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ladessa [460]
2 years ago
15

Does the parabola open up or down?

Mathematics
1 answer:
bogdanovich [222]2 years ago
4 0

The parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have given a graph of a parabola.

From the graph:

The parabola opens down.

The sign of the second difference is positive.

The coordinates of the vertex is at (1, 3)

The equation of the axis of symmetry is x = 1

The optimal value of the parabola is at y = 3

The optimal value is considered a max value.

The x-intercepts is at (-1, 0) and (3, 0)

The y-intercept is at (0, 5/2)

Thus, the parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

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It takes a hose 2 minutes to fill a rectangular aquarium 12 inches long, 13 inches wide, and 14 inches tall. How long will it ta
rusak2 [61]

Volume of the first aquarium =  (12" x 13" x 14") = 2,184 inches³

Volume of the second aquarium = (32" x 34" x 35") = 38,080 inches³

The second aquarium has (38,080 / 2,184) = 17.44 times as much
volume as the first aquarium has.

So it'll take the hose  17.44 times as long to fill the second one

                              =  (17.44) x (2 minutes)  =  34.9 minutes.
8 0
3 years ago
A Cylinder has a base diameter of 4cm and a height of 2cm. What is it’s volume in cubic cm, to the nearest tenths place
s2008m [1.1K]

Answer: The answer is v=25.1 cm³

Step-by-step explanation:

b=4      

h= 2

r= 4/2     r =2 radius is half of the diameter

V=πr²h

v= π(2)²2

v= 25.132741228718

v=25.1 cm³

6 0
2 years ago
Based only on the information given in the diagram, which congruence
Wewaii [24]

Answer:

Option B

Option E

Step-by-step explanation:

By the use of following postulates we can prove the two right triangles to be congruent.

1). HA - [Equal hypotenuse and an cute angles]

2). LL - [Two legs should be equal]

3). LA - [One leg and one angle must be equal]

4). ASA - [Two angles and the side containing these angles should be equal]

In the given right triangles,

1). OJ ≅ IL

2). ∠O ≅ ∠I

3). ∠J ≅ ∠L

Therefore, two postulates HA, ASA will be applicable for the congruence of the two triangles given.

Options A and E will be the answer.

3 0
3 years ago
Read 2 more answers
If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?
Rina8888 [55]

Answer:

We have the equation:

(ax^2 + 3x + 2b) - (5x^2+bx-3c)=  3x^2 - 9

First, move all to the left side.

(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0

Now let's group togheter terms with the same power of x.

(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.

This must be zero for all the values of x, then the things inside each parenthesis must be zero.

1)

a - 5 - 3 = 0

a = 3 + 5 = 8.

2)

3 - b = 0

b = 3.

3)

2b + 3c + 9 = 0

2*3 + 3c + 9 = 0

3c = -6 - 9 = -15

c = -15/3 = -5

Then we have:

a = 8, b = 3, c = -5

a + b + c = 8 + 3 - 5 = 6

8 0
3 years ago
. In Problem 2, how many lateral faces would there be if the base had
Alla [95]

The number of lateral faces for a hexagonal prism or pyramid is 6.

<h3>What is a prism?</h3>

A prism is a three dimensional figure consisting of pair of opposite bases and lateral faces which are parallelogram.

Given that the base off the prism has two sides of length 3 inches and four sides of length 2 inches. Hence the base is hexagonal. The lateral faces would be 6.

The number of lateral faces for a hexagonal prism or pyramid is 6.

Find out more on prism at: brainly.com/question/23963432

6 0
2 years ago
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