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3 years ago

Suppose we apply the translation map Tv to each point on the circle (x + 4)^2 + (y − 3)^2 = 25.

Mathematics

1 answer:

yarga [219]3 years ago

3 0

Answer:

(-4,3) , r = 5

Step-by-step explanation:

given,

equation of circle

(x + 4)² + (y − 3)²= 25.

general equation of the circle

(x - a)² + (y - b)² = r²

comparing the given equation from the general we get,

radius = r² = 25

r = 5

-a = 4 -b = -3

a = -4 b = 3

the center of the circle is (-4,3)

hence, all the specification is shown in the image attached below

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How do i solve this?

tigry1 [53]

Answer:

x = 5

Step-by-step explanation:

The corresponding segments are proportional, so you can write any of several equations relating the different segment lengths. Here's one way:

top segment/bottom segment = x/(x+5) = (x-2)/(x+1)

Multiply by the product of denominators:

(x +1)x = (x +5)(x -2)

x² +x = x² +3x -10 . . . . . eliminate parentheses

10 = 2x . . . . . . . . . . . . . . add 10 -x -x² to both sides of the equation

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7 0

3 years ago

...........................

kramer

Answer:

i dont see a question .

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The recursive function LaTeX: f\left(0\right)=1,\:f\left(n\right)=f\left(n-1\right)+2nf ( 0 ) = 1 , f ( n ) = f ( n − 1 ) + 2 n

m_a_m_a [10]

Question:

The recursive function $f(0) = 1$ , $f(n) = f(n-1) + 2n$ represents the nth term of a sequence. Determine the explicit function

Answer:

$f(n) = n^2 + n+1$

Step-by-step explanation:

Given

$f(0) = 1$

$f(n) = f(n-1) + 2n$

Required

Write an explicit formula

Let n = 1

$f(1) = f(1-1) + 2*1$

$f(1) = f(0) + 2$

$f(1) = 1 + 2 = 3$

Let n = 2

$f(2) = f(2-1) + 2*2$

$f(2) = f(1) + 4$

$f(2) = 3 + 4 = 7$

Let n =3

$f(3)=f(3-1) + 2 * 3$

$f(3)=f(2) + 6$

$f(3)=7+ 6 = 13$

Let n = 4

$f(4) = f(4 - 1) + 2 * 4$

$f(4) = f(3) + 8$

$f(4) = 13+ 8 = 21$

So, we have:

$f(1) = 3= 1 + 2 * 1=1+0*1*2*1$

$f(2) = 7= 3 + 2 * 2=1+1*2+2*2$

$f(3) = 13= 7 + 2 * 3= 1+2*3+2*3$

$f(4) = 21 = 13 + 2 * 4= 1+3*4 +2 *4$

Following the above pattern:

$f(n) = 1 + (n - 1) * n + 2 * n$

$f(n) = 1 + n(n - 1) + 2n$

Open bracket

$f(n) = 1 + n^2 - n + 2n$

$f(n) = 1 + n^2 + n$

$f(n) = n^2 + n+1$

3 0

2 years ago

The sum of two numbers is 1633 and their difference is 35 . Find the two numbers.

devlian [24]

Answer:

834 and 799

Step-by-step explanation:

x+y=1633

x-y=35

2x= 1668

x=834

y=799

Hope this helps!

5 0

3 years ago

Explain the difference in meaning between<br> |-3| and -3

rodikova [14]

first one it is the absolute value of -3 and the other one is -3 itself absolute value of -3 mean 3

4 0

3 years ago