In the figure, .

∠AEB and ∠CED are congruent
.

∠AEC and ∠
are congruent by the Vertical Angles Theorem.

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

Learn more about Equation of Parabola here:

https://brainly.com/question/9583416

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Answer:

42.4

Hope that this helps!

Answer: 66.25%

Step-by-step explanation:

53/80 x 100= 66.25%

Answer:

50km/h

Step-by-step explanation:

Given data

A-B

Time taken= 3 hours

Distance= 150km

B-A

Time taken= 5 hours

We know that

Speed= distance/time

Speed= 150/3

Speed= 50km/h

Hence the speed of the car is 50km/h

Answer:

Step-by-step explanation:

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

Answer:

187 gram

Step-by-step explanation:

Regular jam = low sugar jam = 340-gram jars

55% of the weight of her 'regular' jam is sugar.

What weight of sugar is there in a 340-gram jar?

Weight of sugar in a 340-gram jar of regular jam = 55% of 340

= 55/100 × 340

= 0.55 × 340

= 187

Weight of sugar in a 340-gram jar of regular jam = 187 gram

Answer:it’s x

Step-by-step explanation:

Sry if I’m wrong

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:

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:

i think it is b

Check out the screenshot.

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.

Answer:

10x^2 - 13x - 3

Step-by-step explanation:

(5x + 1)(2x - 3) = 10x^2 - 15x + 2x - 3 = 10x^2 - 13x - 3

Answer:

11.2 f12

Step-by-step explanation:

Find the square root of 125.

Hope this helps!

-kiniwih426

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:

right angle

Step-by-step explanation:

each triangle is a different ome

Answer:

False

Step-by-step explanation:

The definition given is that of an equilateral triangle, NOT that of an isosceles triangle. An isosceles triangle has at least two angles that are equal by definiton. They need not be 60 degrees. For example, a triangle with angle measures of 140, 20, and 20 is an isosceles triangle because two of the angles are equal. Hope this helped!

Answer:

He needs a score of 28.7315 to qualify for the scholarship

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean score on the ACT is 21 with a standard deviation of 4.7

This means that [tex]\mu = 21, \sigma = 4.7[/tex]

What score does he need in order to qualify for the scholarship?

The top 5%, so the 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 21}{4.7}[/tex]

[tex]X - 21 = 4.7*1.645[/tex]

[tex]X = 28.7315[/tex]

He needs a score of 28.7315 to qualify for the scholarship

Answer:

the missing side is

[tex] \sqrt{9 {}^{2} + 12 {}^{2} } = 15 \: yards[/tex]

Answer: Hypotenuse

Step-by-step explanation:

This is a right triangle because it has a right angle, and the longest side of a right triangle is the Hypotenuse. The question mark in this image is asking about the longest side of this triangle, so therefore, it is the hypotenuse, not a leg.

Answer:

x=10

50 and 40

Step-by-step explanation:

The sum of the angles of triangle is 180

90 +5x+4x = 180

Combine like terms

90 +9x =180

Subtract 90 from each side

9x = 180-90

9x = 90

x = 90/9

x = 10

The angles are 5x = 5*10 =50  and 4x = 4(10)= 40

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

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:

21.8

Step-by-step explanation:

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

tan theta=opposite/adjacent

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:

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°