What are the real roots of the function in the graph?

The equation represents the parabola is x² = 6y.

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

The general equation of a parabola is given by y = a(x – h)² + k

We have equations.

The graph's parabola is a vertical parabola that is open vertically and has its vertex at the origin.

So, the equation of the parabola is equal to

x² = 4ay...............(1)

and, the equation of the directrix is y= -a.

her, the directrix is y= -1.5

Now, the equation for the parabola is

x² = 4(1.5)y

x² = 6y

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Answer:

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

To calculate the volume of the given pyramid,

Formula to be used,

Volume = [tex]\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})[/tex]

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(9)(15)[/tex]

                                             = 67.5 cm²

Now volume of the pyramid = [tex]\frac{1}{3}(67.5)(32)[/tex]

                                               = 720 cm³

Therefore, Option (1) will be the correct option.

Answer:

Total distance cover by car = 253.45 km (Approx.)

Step-by-step explanation:

Given:

Speed of car = 45 km/h for 3¾ hour

Distance cover in next 2 hour = 84.7 km

Find:

Total distance cover by car

Computation:

Distance = Speed x time

Distance cover by car = 45 x 3¾

Distance cover by car = 168.75 km

Total distance cover by car = Distance cover by car + Distance cover in next 2 hour

Total distance cover by car = 168.75 + 84.7

Total distance cover by car = 253.45 km (Approx.)

Answer:

right angle

Step-by-step explanation:

each triangle is a different ome

Answer:

x = 90°

Step-by-step explanation:

Using the identity

cos²x = 1 - sin²x

Given

cos²x - sin x + 1 = 0

1 - sin²x - sin x + 1 = 0

- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )

sin²x + sin x - 2 = 0 ← in standard form

(sinx + 2)(sinx - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1

sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°

solution is x = 90°

Answer:

12x - 73

Step-by-step explanation:

DFE + CFD = 12x + 7

DFE + 90 = 12x + 7

DFE = 12x + 7 - 90

DFE = 12x - 83

therefore

DFE = AFB ( vertically opposite angles are equal)

AFB = 12x - 83

Answer:

21.8

Step-by-step explanation:

5m is adjacent and 3m is opposite so you use the formula

tan theta=opposite/adjacent

Answer:

Según los datos brindados, la altura de la pirámide egipcia de Keops sería de:

Step-by-step explanation:

Para resolver el ejercicio, debes conocer la fórmula para calcular el volumen de una pirámide cuadrangular, el cual es el tipo de pirámide al cual pertenece la pirámide de Keops:

Donde:

Como queremos identificar la altura, despejamos esa variable de la ecuación, pero para simplificar un poco, vamos a escribir el volumen de la pirámide con la variable "v":

Y en esta ecuación que despejamos, procedemos a reemplazar los valores de volumen y base que nos dieron en el ejercicio:

Y realizamos las operaciones correspondientes:

Aproximamos el número al entero más cercano, por lo tanto, la altura de dicha pirámide con los datos dados sería de aproximadamente 146 metros.

Answer:

11.2 f12

Step-by-step explanation:

Find the square root of 125.

Hope this helps!

-kiniwih426

Answer:

V = 1372cm3

Step-by-step explanation:

See the image above

Answer: B data gathering

Step-by-step explanation:

all of those examples are examples of gathering data

Answer: Choice B

Explanation: The rule you use is [tex]\sqrt{m*n} = \sqrt{m}*\sqrt{n}[/tex]

Answer:

Step-by-step explanation:

A: is not the answer. The answer is √144 which is 12

B: is correct. You can do it this way, by breaking the 9 and 16 apart.

C: I don't know exactly what the logic of 36 is, but it is not the right answer.

D: I can't explain why the choice would be division. It is multiplication of some sort. D is incorrect.

Point-Slope form:

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

The slope is represented as m-term. Hence the slope is 5.

Answer

Answer:

79°

Step-by-step explanation:

Remember, the sum of all the angles in a triangle is 180

So 180-RST-RTS=180-53-48=79

Answer:

A

Step-by-step explanation:

Because not drawing the circle graph of the burger could lead you to draw the wrong conclusion

Answer:

A

Step-by-step explanation:

Answer:

F(x) plus or minus would shift up or down...

1/3 f(x) "shrinks everything down by 1/3

the first answer is the correct choice

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know,

1 hour = 60 minutes

Therefore,

[tex] \frac{11}{4} hour =( 60 \times \frac{11}{4} )minutes[/tex]

= 165 minutes (Ans)

Answer:

2x⁴ + 4x³ + x² + 8x - 6

Step-by-step explanation:

(2x² + 4x - 3)(x² + 2)

2(x² + 2) · x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x³ + 8x - 3x² - 6

2x⁴ + x² + 4x³ + 8x - 6

2x⁴ + 4x³ + x² + 8x - 6

Check out the screenshot.

Respuesta:

Media = 6

Mediana = 6

Modo = 6

Desviación media = 1

Desviación estándar = 1.317

Explicación paso a paso:

Dados los datos:

5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8

Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8

La media: Σx / n = 96/16 = 6

El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)

La mediana = 1/2 (n + 1) ésimo término

Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6

La desviación media = Σ (x - media) / n

Usando la calculadora, la desviación media = 1

La desviación estándar = √ (Σ (x - media) ² / n-1)

Desviación estándar = 1.317

Answer:

B

Step-by-step explanation:

because of order if operations.

Answer:

B

Step-by-step explanation:

The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.

If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.

Answer:

y = x - 5

Explanation:

Where ever the line touches on the y-axis is the y-intercept. In this case it is -5.

the slope is 1 because the y and the x is going up by one

Answer:

$50

Step-by-step explanation:

Interest = PRT/100

Principal P = $500

Rate R = 5%

Time T = 2years

Get the interest

Interest = 500*5*2/100

Interest = 5 * 5 * 2

Interest = $50

Hence the interest eaned after 2years is $50