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Dmitrij [34]
3 years ago
9

Rounded to three decial places, the value of the irrational number e is

Mathematics
1 answer:
scoray [572]3 years ago
8 0
E = 2.718281828...
rounded to 3 decimal places
2.718

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Find the equation of the quadratic function with vertex (-2,18) passing through (-5,0)?
Sliva [168]

Answer:

y-18=-2(x+2)^2

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

y-k=a(x-h)^2

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

It's been given the vertex of the parabola as (-2,18):

y-18=a(x+2)^2

Now substitute the point (-5,0) and find the value of a:

0-18=a(-5+2)^2

Operating:

-18=a(-3)^2

-18=9a

Solving for a:

a = -18 / 9

a = -2

Thus, the equation of the quadratic function is:

\mathbf{y-18=-2(x+2)^2}

7 0
2 years ago
What is the sector with a central angle of 185 degrees and a diameter of 6.4 m? Round to the nearest tenth.
mr_godi [17]
The area of a sector is 
     A=\frac{1}{2}r^2\theta =\frac{1}{2}\left(3.2\:m\right)^2\left(185\cdot \frac{\pi }{180}\right)=16.5\:m^2

The answer is 16.5 square meters. 
6 0
3 years ago
Read 2 more answers
Evaluate 5+ when each number is placed in the box
polet [3.4K]

Answer:

6. 8

7. 10

8. 29

Step-by-step explanation:

6. 3+5

7. 5+5

8. 24+5

4 0
2 years ago
. En el triángulo ABC, la medida del ángulo exterior en el vértice B es el triple de la medida del ángulo C y la mediatriz de BC
Sliva [168]

Responder:

| AB | = 12m

Explicación paso a paso:

Verifique el diagrama en el archivo adjunto.

En el diagrama, se puede ver que el lado FC es igual al lado FB de acuerdo con el triángulo isósceles FBC.

Además, el lado FB es igual a AB ya que son paralelos entre sí.

De la declaración anterior, | FC | = | FB | y | FB | = | AB |

Esto significa | FC | = | FB | = | AB |

Por lo tanto desde | FC | = 12 m, | AB | = 12 m ya que ambos lados son iguales.

De ahí el lado | AB | se mide 12m

8 0
3 years ago
What is the difference between these fractions?<br><br> +3/4−(+7/8)
Ket [755]

Answer:

1/8

Step-by-step explanation:

3/4 is 6/8 and 6/8 - 7/8 is 1/8

4 0
2 years ago
Read 2 more answers
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