The center of the circle is located (3'8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle
Answers
9514 1404 393
Answer:
x² +y² -6x -16y +48 = 0
Step-by-step explanation:
Given:
- circle center: (3, 8)
- circle radius: 5
Find:
general form equation for the circle
Solution;
The standard form equation for the circle is ...
(x -h)² +(y -k)² = r² . . . . . circle with radius r centered at (h, k)
(x -3)² +(y -8)² = 5²
Subtracting 25 and expanding this will give the general form.
x² -6x +9 +y² -16y +64 -25 = 0
x² +y² -6x -16y +48 = 0
_____
Additional comment
"General form" of an equation is usually the form f(x,y) = 0, where f(x, y) is written in "standard form," with terms in lexicographical order and decreasing degree.
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Answers
Answer:
3/8 (decimal = 0.375)
Step-by-step explanation:
apply exponent rule
= 1/4 + 2^-3
= 1/4 + 1/2^3
= 1/4 + 1/8
least common deno
= 2/8 + 1/8
= 3/8
Answers
Answer:
Step-by-step explanation:
So 5.5 x 10^9 times 2.3 x 10^7 would equal to 126 500 000.
Answers
Answers
Hence, x=-2 and y=4 are the answers to the system of equations.
Why do people utilise coordinate geometry?
For the purpose of connecting algebra and geometry with the aid of line and curve graphs, coordinate geometry is necessary. Finding points on a plane is a crucial component of mathematics. It also has a number of uses in other scientific fields such dimensional geometry, calculus, and trigonometry. Use y=-2x in place of x in the first equation:
5x - 9(-2x) = -46
Simplify and find x's value:
5x + 18x = -46
23x = -46
x = -2
We can use the second equation to get y now that we know the value of x:
y = -2x = -2(-2) = 4
Learn more about coordinate geometry here:
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Answers
Answer:
account balance at graduation is 674.17
Step-by-step explanation:
given data
deposit money P = 500
interest rate = 3 % compounded quarterly
we take time period = 10 year ( 2nd grade to 12 grade)
solution
we apply here compound interest formula that is
amount = ..................1
put here value and we get
amount =
amount = 674.174
so account balance at graduation is 674.17
Answer:
$694.63
Step-by-step explanation:
The formula is p(1+r/n)^tn. P, or the principal amount, is 500 dollars. R, or the rate as a decimal, is 0.03. N, or the number of times compounded yearly, is 4. T, or the time in years, is 11, since there are 11 years from grade 2 to grade 12. 12-2+1=11. Now, plug in the information given. 500(1+0.03/4)^4*11 = 500(1.0075)^44 = 694.63 dollars, rounded to the nearest cent.
Answers
Answer:
The answer is 5.8 times a second
Step-by-step explanation:
Divide 1044 by 180 (The number of seconds in 3 minutes)
Final answer:
To calculate the rate in revolutions per second, we first convert the 3 minutes into seconds, which is 180 seconds. We then divide the total number of revolutions, 1044, by 180. This gives us a rate of 5.8 revolutions per second.
Explanation:
To solve this problem, we need to convert minutes into seconds because the rate is asked in revolutions per second.
Let's start by figuring out how many seconds are in those 3 minutes. We know that in 1 minute, there are 60 seconds. So, 3 minutes would be 3 times 60, which is 180 seconds.
Next, we will calculate the rate by dividing the total number of revolutions, which is 1044, by the total number of seconds, which is 180. So, 1044 ÷ 180 = 5.8.
This means that the propeller spins at a rate of 5.8 revolutions per second.
Learn more about Rate Calculation here:
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