Finding which number supports the idea that the rational numbers are dense in the real numbers?

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

1 year ago

HELPPPP!!! and get brainliest!!!!!!! + 22 points

ella [17]

Answer:

Step-by-step explanation:

b/c the function goes thur the point (1,4) we know it's 4 times more than f(x) so g(x) = 4 $x^{2}$

8 0

2 years ago

The polynomial p(x) has factors of x-5 and x-8. Which must be correct ?

aleksandrvk [35]

Answer:

Find an answer to your question The polynomial p(x) has factors of x – 5 and x + 8. Which MUST be correct?

Step-by-step explanation:

If x – a is indeed a factor of p(x), then the remainder after division by x – a will be ... the polynomial (courtesy of the Remainder Theorem), but x – a is also a factor ... completed division: 2 2 5 0 7 ... x + 4 is a factor of 5x4 + 16x3 – 15x2 + 8x + 16.

8 0

2 years ago

Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked rhours while Tina worked thours

ivann1987 [24]

Answer:

Step-by-step explanation:

The amount that Rita and Tina each make per hour working as cashiers at a supermarket is $11.

Last week, Rita worked r hours. It means that the amount that Rita made last week, working for r regular hours is 11r. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. It means that the total amount earned by Rita last week was

11r + 32

Last week, Tina worked for t hours. It means that the amount earned by Tina last week was 11t

The expression representing the total weekly wages of both Rita and Tina is

11r + 32 + 11t

3 0

2 years ago

How do you work out percentages

mezya [45]

If you are converting, make the denomenator 100 for fractions or look at 2 decimal places for decimals. if you want to find a certain percentage for a total, make the total of the item 100% and from there find 1% and multiply to the wanted percentage

3 0

2 years ago