What is the equation of a circle with center (-3,-1) that contains the point (1,2)?
Answers
Answer:
The correct answer is,
(x + 3)² + (y +1)² = 25
Step-by-step explanation:
It is given that, What is the equation of a circle with center (-3,-1) that contains the point (1,2)
Formula;-
Equation of the circle passing through the point ( x₁,y₁) with radius r is given by,
(x - x₁)² + (y - y₁)² = r²
To find the radius of circle
r =√[ (1 --3)² + (2 --1)²]
=√(4² + 3²)
= √(16 + 9)
=√25 = 5
To find the equation of the circle
(x₁, x₁) = (-3, -1) and r = 5
(x - x₁)² + (y - y₁)² = r²
(x - -3)² + (y - -1)² = 5²
(x + 3)² + (y +1)² = 25
Answer:
(x + 3)^2 + (y + 1)^2 = 25
Step-by-step explanation:
Equation of a circle with center (h, k) and radius, r.
(x - h)^2 + (y - k)^2 = r^2
The center is (-3, -1), so h = 1, and k = 2.
(x - (-3))^2 + (y - (-1))^2 = r^2
(x + 3)^2 + (y + 1)^2 = r^2
Now we substitute x and y with the values of x and y from the given point, and we solve for r^2.
(1 + 3)^2 + (2 + 1)^2 = r^2
4^2 + 3^2 = r^2
16 + 9 = r^2
r^2 = 25
Now that we know r^2, we substitute it into the equation above.
(x + 3)^2 + (y + 1)^2 = 25
Related Questions
Twenty more than twice a number is 52 wrote out in numbers have to have.this for tomorrow please help
Suppose Y varies directly as X, and y = 9 when x = 3/2. Find y when x = 1.
What is the rational number as a/b of 5 1/6
I need some help with this:)I'll apreciate the answers.
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6 zeros, 3 holding the hundreds, 3 holding the hundred thousands.
Hope this helps!
Answers
The 4/6pieces per person or 2/3 of a piece of felt each person will get if four girls and two boys are working on an art project.
What is a fraction?
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Four girls and two boys are working on an art project.They have four square pieces of felt. If each person gets and equal share of the felt
Let x be the amount of a piece of felt each person will get
From the data given in the equation:
Total number of girls and boys = 4 girls + 2 boys
The total number of girls and boys = 6 people total.
x = 4/6 pieces per person
x = 2/3 of a piece
Thus, the 4/6pieces per person or 2/3 of a piece of felt each person will get if four girls and two boys are working on an art project.
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4/6 pieces per person
Answer: 2/3 of a piece
Answers
Answer:
$35.10
Step-by-step explanation:
Original price = $45.00
Markdown = 22%
Therefore, 22% × 45.00
= × 45.00
= 0.22 × 45.00
= $9.9
Now subtract $9.90 from $45.00
= $45.00 - $9.90 = $35.10
$35.10 is the answer.
0.22×45= $9.90 markdown so 45-9.90= $35.10 is the sales price
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solution:
let the value be 'x'
x×20/100 = 50
20x = 50×100
x = 250
Answer: 250
Hope This Help ^_^
Answers
Yes, number 21 is multiplying.
Answers
The two square roots of 4 are 2 and -2.
What is square root?
The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 3² or 3 × 3.
Given:
The number is 4,
Factorize the number as shown below,
4 = 2 × 2
Calculate the value of the square root of 4 as shown below,
√4 = √(2 × 2)
√4 = ±2
√4 = 2 or -2
Check as:
-2 × -2 = 4
2 × 2 = 4
Thus, the square root of 4 is 2 and -2.
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Whenever you take the square root of a number you get a negative and a positive result: √ 4 = ± 2 or { − 2 , 2 } − 2 ⋅ − 2 = 4 and 2 × 2 = 4