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Veseljchak [2.6K]
2 years ago
5

A number cube is rolled 24 times and lands on 2 four times and on 6 three times.

Mathematics
1 answer:
kozerog [31]2 years ago
3 0

Answer:

1/6 times the number cube wil land on 2

Step-by-step explanation:

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Determine the vertex of the function f(x) = 3(x − 2)2 + 1.
anastassius [24]

The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1) ⇒ answer A

Step-by-step explanation:

Any quadratic function represented graphically by a parabola

1. If the coefficient of x² is positive, then the parabola open upward

  and its vertex is a minimum point

2. If the coefficient of x² is negative, then the parabola open

   downward and its vertex is a maximum point

3. The standard form of the quadratic function is: f(x) = ax² + bx + c

    where a, b , c are constants

4. The vertex form of the quadratic function is: f(x) = a(x - h)² + k,

     where h , k are the coordinates of its vertex point

∵ The function f(x) = 3(x - 2)² + 1

∵ The f(x) = a(x - h)² + k in the vertex form

∴ a = 3 , h = 2 , k = 1

∵ h , k are the coordinates of the vertex point

∴ The coordinates of the vertex point are (2 , 1)

The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1)

Learn more:

You can learn more about quadratic function in brainly.com/question/1357167

#LearnwithBrainly

6 0
3 years ago
Read 2 more answers
I need help with this geometry question
MArishka [77]

Answer:

Approximately 7.8 units

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.

B is (-5,6). Let's let this be x₂ and y₂. So, substitute:

d=\sqrt{(-5-0)^2+(6-0)^2}

Simplify:

d=\sqrt{(-5)^2+(6)^2}

Square:

d=\sqrt{25+36}

Add:

d=\sqrt{61}

Take the square root. Use a calculator:

d\approx7.8

So, the distance between them is about 7.8 units.

And we're done!

7 0
2 years ago
Two shapes that have the same shape and size
vivado [14]
Squares and rectangles
7 0
3 years ago
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Norma bought a plastic bag that contains 100 ballons the lable says that there are 20 each of blue,yellow, red, ,green and orang
Volgvan

Answer:

It is 120

Step-by-step explanation:

7 0
2 years ago
Brainliest and 20 points asap
-Dominant- [34]

Answer:

ΔXOY ≅ ΔZOW ⇒ proved down

Step-by-step explanation:

* Lets study some facts on the circle

- If two chords equidistant from the center of the circles,

 then they are equal in length

* the meaning of equidistant is the perpendicular distances

 from the center of the circle to the chords are equal in length

* Lets check this fact in our problem

∵ XY and WZ are two chords in circle O

∵ OT ⊥ XY

- OT is the perpendicular distance from the center to the chord XY

∵ OU ⊥ WZ

- OU is the perpendicular distance from the center to the chord WZ

∵ OT ≅ OU

- The two chords equidistant from the center of the circle

∴ The two chords are equal in length

∴ XY ≅ WZ

* Now in the two triangles XOY and ZOW , to prove that

 they are congruent we must find one of these cases:

1- SSS ⇒ the 3 sides of the 1st triangle equal the corresponding

               sides in the 2nd triangle

2- SAS ⇒ the two sides and the including angle between them

                in the 1st triangle equal to the corresponding sides and

                including angle in the 2nd triangle

3- AAS ⇒ the two angles and one side in the 1st triangle equal the

                corresponding angles and side in the 2nd triangle

* Lets check we will use which case

- In the two triangles XOY and ZOW

∵ XY = ZW ⇒ proved

∵ OX = OZ ⇒ radii

∵ OY = OW ⇒ radii

* This is the first case SSS

∴ ΔXOY ≅ ΔZOW

4 0
3 years ago
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