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3 years ago

What is the image point if (8,4) after a translation left 2 units and down 4 units

Mathematics

2 answers:

Kryger [21]3 years ago

5 0

I don’t know I think it’s 6’0

Rudik [331]3 years ago

4 0

Answer:

(6,0) I think

my memory is rusty on this subject sorry if it's wrong.

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Mr. Winking is purchasing a car and needs to finance $24,000 from the bank with an annual percentage rate (APR)

babymother [125]

Answer:

<em>The monthly payment is $450.71</em>

Step-by-step explanation:

<u>Financial Computing </u>

Given the loan amount A, the loan term t, and the APR (annual percentage rate), the montly payment is computed as

$\displaystyle P=\frac{A}{f}$

where f is

$\displaystyle f=\frac{1-(1+i)^{-n}}{i}$

The provided data is

$\displaystyle A=24,000$

$\displaystyle r=4.8\%$

$\displaystyle t=5\ years$

Since the payments will be made monthly, the values of n and i are:

$\displaystyle i=\frac{4.8}{100\times12}=0.004$

$\displaystyle n=5\times12=60\ months$

Calculating f:

$\displaystyle f=\frac{1-(1+i)^{-n}}{i}$

$\displaystyle f=\frac{1-(1+0.004)^{-60}}{0.004}$

$\displaystyle f=53.25$

Now for the payments:

$\displaystyle P=\frac{24.000}{53.25}=450.71$

$\boxed{\displaystyle P=\$450.71}$

5 0

3 years ago

Arrange the circles (represented by their equations in general form) in ascending order of their radius lengths. X2 y2 − 2x 2y −

Colt1911 [192]

Circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.

<h3>What is the equation of circle?</h3>

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

$(x-h)^2+(y-k)^2=r^2$

Here (h,k) is the center of the circle and (r) is the radius of the circle.

Lets arrange the first equation, in standard form of equation of circle as,

$x^2 +y^2 - 2x+ 2y -1 = 0 \\(x^2 - 2x) +(y^2+ 2y )= 1\\(x^2 - 2x+1) +(y^2+ 2y +1)= 1+1+1\\(x-1)^2+(y+1)^2=(\sqrt{3})^2$

The radius of this circle is √(3).

Lets arrange the second equation, in standard form of equation of circle as,

$x^2 +y^2 - 4x+ 4y - 10 = 0 \\(x^2 - 4x) +(y^2+ 4y )= 10\\(x^2 - 4x+4) +(y^2+ 4y +4)= 10+4+4\\(x-2)^2+(y+2)^2=(\sqrt{18})^2$

The radius of this circle is √(18).

Lets arrange the third equation, in standard form of equation of circle as,

$x^2 +y^2 - 8x - 6y - 20 = 0 \\(x^2 - 8x) +(y^2-6y )= 20\\(x^2 - 8x+16) +(y^2- 6y +9)= 10+16+9\\(x-4)^2+(y-3)^2=(\sqrt{45})^2$

The radius of this circle is √(45).

Similarly, radius of the forth, fifth, sixth and seventh circle is √(23), √(5), √(117) and √(46) units.

Hence, the circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.

Learn more about the equation of circle here;

brainly.com/question/1506955

3 0

2 years ago

Read 2 more answers

f five times a number is subtracted from twelve times a number, the result is seven less than twice the number. Find the number

gayaneshka [121]

12x-5x=2x-7
7x=2x-7
x=-7/5

7 0

3 years ago

Please help I will like and brainy

Nitella [24]

What is the value of x in this diagram?

Please help

3 0

3 years ago

Read 2 more answers

Evaluate the integral

Kruka [31]

Hello, please consider the following.

$\displaystyle \begin{aligned} \int\limits^x {5sin(5t)sin(t)} \, dt &= -\int\limits^x {5sin(5t)} \, d(cos(t))\\ \\&=-[5sin(5t)cos(t)]+ \int\limits^x {25cos(5t)cos(t)} \, dt\\\\&=-5sin(5x)cos(x)+ \int\limits^x {25cos(5t)} \, d(sin(t))\\ \\&=-5sin(5x)cos(x)+[25cos(5t)sin(t)]+ \int\limits^x {25sin(5t)sin(t)} \, dt\\\\&=-5sin(5x)cos(x)+25cos(5x)sin(x)+ \int\limits^x {(25*5)sin(5t)sin(t)} \, dt\end{aligned}$

And we can recognise the same integral, so.

$\displaystyle (25-1)\int\limits^x {5sin(5t)sin(t)} \, dt= +5sin(5x)cos(x)-25cos(5x)sin(x)$

And then,

$\displaystyle \Large \boxed{\sf \bf\int\limits^x {5sin(5t)sin(t)} \, dt=\dfrac{5sin(5x)cos(x)-25cos(5x)sin(x)}{24}+C}$

Thanks

3 0

3 years ago