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3 years ago

What is an equation of a parabola with the given vertex and focus? vertex: (5, 4) ; focus: (8, 4)

Mathematics

1 answer:

artcher [175]3 years ago

7 0

The parabola is opens upward.

a = (8 – 5)

= 3

Using the standard form:

(x – h)^2 = 4a(y – k)

(x -5)^2 = 12( y – 4)

In general form

x^2 -10x +25 =12y – 48

x^2 -10x -12y + 73 =0

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n 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,

Nitella [24]

Answer:

The population would be 3358

Step-by-step explanation:

Since, exponential growth function if the growth is compound continuously,

$A = Pe^{rt}$

Where,

P = initial population,

r = growth rate per period,

t = number of periods,

Given,

The population in 2000, P = 2,400,

Growth rate per year = 1.68% = 0.0168,

Number of years from 2000 to 2020, t = 20,

Thus, the population in 2020,

$A=2400 e^{0.0168\times 20}$

$=2400 e^{0.336}$

$= 3358.4136$

$\approx 3358$

6 0

3 years ago

What % more than 80 is more than 104

crimeas [40]

130 i think let me know if this is right

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3 years ago

Each salt shaker holds 1 1/4 ounces. If a box of salt contains 10 ounces, how many shakers will it fit

Alekssandra [29.7K]

8 shakers will fit becuase 4 shakers equal 5 ounces and you multiply it by two and you get 10

3 0

4 years ago

Read 2 more answers

In the figure, a line was constructed through point R perpendicular to line L. If EF = 20, then what is the length of ES?

valkas [14]

ES is half of EF since a chord is bisected by the radius. ES = 10

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4 years ago

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If n lines are drawn in a plane, how many regions do they separate the plane into? induction

grandymaker [24]

Hello,

Let's assume i the number of lines,
u(i) the number of regions:

$u_0=1\\\\
u_1=2=1+1=1+u_0\\\\
u_2=4=2+u_1\\\\
u_3=7=3+u_2\\\\
u_4=11=4+u_3\\\\
u_5=16=5+u_4\\\\
...\\\\
\boxed{u_{n+1}=(n+1)+u_{n}}\\\\

u_{n+1}=(n+1)+n+(n-1)+...+1+u_0\\\\

\boxed{u_{n+1}= \dfrac{(n+1)*(n+2)}{2}+1 }$

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4 years ago