All categories

3 years ago

Determine the equation of a circle with the center (8,10) and radius 6

Mathematics

1 answer:

lyudmila [28]3 years ago

8 0

Answer:

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Pre-Calculus

Circle Center Formula: (x - h)² + (y - k)² = r²

(h, k) is center
r is radius

Step-by-step explanation:

Step 1: Define

Identify

(h, k) = (8, 10)

r = 6

Step 2: Find Equation

Substitute in variables [Center Circle Formula]: (x - 8)² + (y - 10)² = 6²
Evaluate exponents: (x - 8)² + (y - 10)² = 36

You might be interested in

PLEASE HELP RN

yulyashka [42]

Step-by-step explanation:

y = -9x - 45 -5

y = -9x - 50

slope = x coefficient = -9

we can use the point where

x = 0

y = -50

P1 (0, -50)

and when y = 0

-9x = 50

x = -50/9

P2 = (-50/9 , 0)

3 0

2 years ago

Read 2 more answers

A kitchen counter is to be covered with tiles that are 4in. Square. How many tiles can be placed along one row of a countertop t

murzikaleks [220]

14 tiles would be able to go on that one side of the counter

4 0

3 years ago

Jill was solving a system using the elimination method.After she added the equations together,she got 5=7.What does this mean fo

harkovskaia [24]

Answer:

It means the system does not have a solution

Step-by-step explanation:

5 0

3 years ago

Hi. I need help. This is for homework I would appreciate it if you helped.

Triss [41]

Answer:

Ik this isn't an answer but wanted to say good luck im battling stuff too :(

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one

oksano4ka [1.4K]

Answer:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=1-0.09=0.91)$

The probability associated to a failure would be p =1-0.09 = 0.91

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

6 0

3 years ago

Determine the equation of a circle with the center (8,10) and radius 6​

Determine the equation of a circle with the center (8,10) and radius 6