6, What is the slope of the line that passes through (3,8) and (6, 20)?

Determine the equation of the circle with centre (-3;5) and passing through a point (2;-9)

UNO [17]

Therefore, the equation of circle is: $(x+3)^{2}+(y+5)^{2} = 100$

<h3><u>What is a circle?</u></h3>

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
The radius of a circle is the separation between any point on the circle and its center.
The radius must typically be a positive integer. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.
A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior.

Here we know that $(h,k) = (-3,5)$ but we are not given the radius.

However, we can find the radius by using the distance formula.

$\sqrt{x^{2} +y^{2} }$ , where $x=x_{1} -x_{2}$ and $y=y_{1} -y_{2}$

Putting the values, we get:

$\sqrt{8^{2} +6^{2} }$

The radius comes out to be:

$r=10$

An equation of the circle with center $(h,k)$ and radius r is

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

Now, substituting the values, we get:

$(x--3)^{2} +(y-5)^{2} = 10^{2}$

Therefore, the equation of circle is:

$(x+3)^{2}+(y+5)^{2} = 100$

Know more about circles with the help of the given link:

brainly.com/question/10618691

#SPJ4

7 0

2 years ago

Rectangle A has a width of 3 inches and a length of 5 inches. Part A Rectangle A has the same perimeter as Rectangle B. If its w

Nutka1998 [239]

Answer:

Part A

Rectangle B has a B has a width of 4 inches and a length of 4 inches

Part B

The answers that apply are:

A. Rectangle A has an area of 15 square inches

C. Rectangle B has an area of 16 square inches

D. Rectangle B has a greater area than Rectangle A

Step-by-step explanation:

Let me know if you need any explanation

6 0

3 years ago

Gabe and Caden mow lawns

7nadin3 [17]

Answer:

what is the question?

Step-by-step explanation:

7 0

3 years ago

The estimated value of the integral from 0 to 2 of x cubed dx , using the trapezoidal rule with 4 trapezoids is

bulgar [2K]

The integral is approximated by the sum,

$\displaystyle\int_0^2f(x)\,\mathrm dx\approx\sum_{n=0}^4\frac12\times\frac{f(x_n)+f(x_{n+1})}2=\frac14\sum_{n=0}^3(f(x_n)+f(x_{n+1}))$

where $f(x)=x^3$ and $x_n=\dfrac12n$ , giving you

$\displaystyle\frac14\sum_{n=0}^3\bigg(\left(\frac n2\right)^3+\left(\frac{n+1}2\right)^3\bigg)$
$\displaystyle\frac1{32}\sum_{n=0}^3(n^3+(n+1)^3)$
$\displaystyle\frac1{32}\sum_{n=0}^3(2n^3+3n^2+3n+1)$

Faulhaber's formulas make short work of computing the sum. You have

$\displaystyle\sum_{n=0}^k1=k+1$
$\displaystyle\sum_{n=0}^kn=\frac{k(k+1)}2$
$\displaystyle\sum_{n=0}^kn^2=\frac{k(k+1)(2k+1)}6$
$\displaystyle\sum_{n=0}^kn^3=\frac{k^2(k+1)^2}4$

which gives

$\displaystyle\frac1{16}\sum_{n=0}^3n^3+\frac3{32}\sum_{n=0}^3n^2+\frac3{32}\sum_{n=0}^3n+\frac1{32}\sum_{n=0}^31$
$\displaystyle\frac{36}{16}+\frac{42}{32}+\frac{18}{32}+\frac4{32}$
$\implies\displaystyle\int_0^2x^3\,\mathrm dx\approx\frac{17}4=4.25$

4 0

3 years ago

38) Paula is making a pair of drapes for her dining room. Each of the four drapery panels, when completed, measures 8 feetlang b

Stels [109]

Answer:

128 ft^2

Step-by-step explanation:

each drapery has an area of 8*4 feet^2 and there are four panes so the total area is 8*4*4= 128

6 0

3 years ago