the point (8,15) lies on a circle centered at (0,0). where does the circle intersect the x-axis? where does the circle interset the y-axis? explain how you know
Answers
The circle intersects the x-axis at x = -17 and x = 17 and y-axis at y = -17 and y = 17.
To determine where the circle intersects the x-axis and y-axis when the point (8,15) lies on a circle centered at (0,0), we can use the equation of a circle.
The equation of a circle with center (h, k) and radius r is given by:
\((x-h)^{2}\) + \((y-k)^{2}\) = \(r^{2}\)
In this case, the center of the circle is (0,0), so the equation becomes:
\(x^{2}\) + \(y^{2}\) = \(r^{2}\)
Substituting the point (8,15) into the equation, we have:
\(8^{2}\) + \(15^{2}\) = \(r^{2}\)
64 + 225 = \(r^{2}\)
289 = \(r^{2}\)
Taking the square root of both sides, we find:
r = 17
Therefore, the equation of the circle is:
\(x^{2}\) + \(y^{2}\) = \(17^{2}\)
Now, to determine where the circle intersects the x-axis, we set y = 0 in the equation:
\(x^{2}\) + \(0^{2}\) = \(17^{2}\)
\(x^{2}\) = 289
Taking the square root, we find:
x = ±17
So, the circle intersects the x-axis at x = -17 and x = 17.
To determine where the circle intersects the y-axis, we set x = 0 in the equation:
\(0^{2}\) + \(y^{2}\) = \(17^{2}\)
\(y^{2}\) = 289
Taking the square root, we find:
y = ±17
Thus, the circle intersects the y-axis at y = -17 and y = 17.
By substituting the point (8,15) into the equation of the circle, we were able to determine its radius. Then, by setting y = 0 and x = 0 in the equation, we found the points where the circle intersects the x-axis and y-axis.
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Related Questions
What is the precent increase or decrease if a product that used to cost $90 now costs $126?
Answers
The percent increase for the given cost is 40%.
What is percent change?To determine percent change, use the formula percent change = (new value - old value) / old value * 100%.
The percentage increase or decrease between two numbers is determined using this formula. To calculate the percentage change, subtract the old value from the new value, divide the result by the old value, and then multiply the result by 100.
The percent change is given by the formula:
percent change = (new value - old value) / old value * 100%
Substituting the cost we have:
percent change = (126 - 90) / 90 * 100%
percent change = 36 / 90 * 100%
percent change = 0.4 * 100%
percent change = 40%
Hence, the percent increase for the given cost is 40%.
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What does it mean to have 2 equal roots?
Answers
Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
What is square root ?A number's root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as or as 3 x 3.
Here,
If an equation have 2 roots , it means it is a quadratic function
If D=0, a quadratic function has two roots that are equal.
D (discriminant) = 0
=>b24ac=0 is required for a polynomial function to have equal roots.
Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
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Assume that you purchased stock in a company in the company's early
days. You paid $250 a share. Recently, you sold your stock at $11,750
a share. What percent increase is that? Do not use commas or units of
measurement in your answer.
Answers
Answer:
250•x = 11750
x = 11750/250
x = 47
4700%
Write the expression for the steps "12 increased by 4 and then double it." Then solve.
Answers
Double means to multiply by 2.
The expression:
(12+4)x2
To solve:
Solve brackets first
(16) x 2
= 32
Two functions are ________ equivalent if their algebraic representations are the same.
Always
Sometimes
Never
Answers
How many terms are in the given expression?5x - 2
Answers
The number of terms in the expression 5x - 2 is 2
What is number of terms in a mathematical expression ?The number of terms in an expression or equation refers to the values separated by a mathematical operator. A mathematical operator could be
AdditionSubtractionMultiplicationDivision and so onThe terms can be like terms or unlike terms
The two terms given is separated by the subtraction operator and are both unlike terms
The first term 5x consist of
coefficient = 5variable = xThe second term is just a constant which is 2
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) You spin the spinner once.
6
5
7
2
Submit
3
What is P(greater than 2)?
) Write your answer as a fraction or whole number.
Answers
The value of P(Greater than 2) is 0.75
How to evaluate the probabilityFrom the question, we have the following parameters that can be used in our computation:
Spinner = 6 5 7 2
Using the above as a guide, we have the following:
Greater than 2 = 3
Total = 4
The probability is
P = Greater than 2/Total
Substitute the known values in the above equation, so, we have the following representation
P(Greater than 2) = 3/4
Evaluate
P(Greater than 2) = 0.75
Hence, the solution is 0.75
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Marking brainliest
What colors should I add?
Answers
Answer:
Maybe some red, lime green, tan-ish brown, blue, crimson, navy blue
Step-by-step explanation:
Which set of radian angle measures is equivalent to sin^-1 (-1/2)
a.2pi/3, 4pi/3
b.5pi/4, 7pi/4
c.7pi/6, 11pi/6
d.pi/6, 5pi/6
Answers
The set of radian angle measures that is equivalent to \(sin^{-1}(-1/2)\) is: c. 7pi/6, 11pi/6.
How to Find the Set of Radian Angle Measures?To find the radian angle measures that are equivalent to \(sin^{-1}(-1/2)\), we need to identify angles whose sine function evaluates to -1/2.
The sine function represents the ratio of the length of the side opposite to an angle to the length of the hypotenuse in a right triangle. It takes on values between -1 and 1.
For \(sin^{-1}(-1/2)\), we are looking for angles whose sine is equal to -1/2. In other words, we need to find angles where the ratio of the length of the side opposite the angle to the length of the hypotenuse is -1/2.
In the unit circle, the angles 7pi/6 and 11pi/6 correspond to 210 degrees and 330 degrees, respectively. At these angles, the y-coordinate of the corresponding point on the unit circle is -1/2, which satisfies the condition \(sin^{-1}(-1/2)\).
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Find the distance between (8,3) and (0, -3).
The distance is:
Answers
Answer:
(8,3) = {4,5,6,7}
(0,3) = {1,2}
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Using the distance formula, you would get this answer.
Distance formula: square root of (2−1)^2 + (2−1)^2
Colton's gross pay is $1421.50 and his net pay is $973.48.
What percent of his gross pay is take-home pay?
31.5%
44.8%
46%
68.5%
Answers
68.5% of Colton's gross pay is take-home pay. To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and then multiply by 100 to convert the resulting decimal to a percentage.
To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and multiply the resulting decimal by 100 to express it as a percentage. Colton's gross pay is $1421.50 and his net pay is $973.48. Dividing the net pay by the gross pay gives a result of 0.685, or 68.5% when converted to a percentage. This means that 68.5% of Colton's gross pay is take-home pay, or the amount of money that he receives after deductions are made. Therefore, Colton's take-home pay is $973.48, which is 68.5% of his gross pay.
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What is the value of -3to the power of 4?
-12
81
12
-81
Answers
Answer:
81
Step-by-step explanation:
im cracked
Answer:
its -81 lol cause -3*-3*-3*-3= -81 trust me bro
If a tennis court is 24 meters long, what is the approximate length in yards?
Answers
Because 1 meter = 1.094 yards
Hope this helped :)
victoria deposited $5000 into a savings account that earns an annual simple interest rate of 0.3%. To the nearest tenth of a year, how long will it take for the account to reach $5500?
Answers
It will take 33.33 years for the account to reach $5500
What is simple interest?
Simple interest is defined as the direct crediting of cash flows related to an investment or deposit.
We know,
Victoria deposited into a savings account $5000
Annual simple interest rate of 0.3%.
Formula of Simple Interest
A = P(1 + rt)
5500 = 5000(1 + 0.003t)
5500 = 5000 + 15t
15t = 500
\(t = \frac{500}{15} = 33.33\)
It will take 33.33 years for the account to reach $5500
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A procedure used for finding the equation of a straight line that provides the best approximation for the relationship between the independent and dependent variables is ______.
Answers
Answer:
a linear approximation
a
Prove: The square of a number that is
two more than a multiple of 3 is one more
than a multiple of 3.
(3n + 2)^2 = [? ]
Answers
Answer:
Step-by-step explanation:
\((3n+2)^{2} = (3n+2)(3n+2)\)
\(9n^{2} +12n+4\) - I expanded the above brackets
\(9n^{2} +12n+3+1\) - I separated the 1 from 4 to make 3+1
\(3(3n^{2} +4n+1)+1\) - I took out a factor of 3
= 1 more than a multiple of 3
The vertices of a rectangle are at (−4, 2), (3, 2), (3, −2), and (−4, −2).
What is the length of the longer side of the rectangle?
Answers
Answer:
7 units
Step-by-step explanation:
You want the length of the longer side of the rectangle defined by the coordinates (−4, 2), (3, 2), (3, −2), and (−4, −2).
Side lengthWhen you plot the points, or simply consider the coordinates, you see the sides of the rectangle are vertical and horizontal line segments.
The length of a vertical segment is the difference of its endpoint y-coordinates:
2 -(-2) = 4
The length of a horizontal segment is the difference of the x-coordinates of its endpoints:
3 -(-4) = 7
The longer side is 7 units long.
I WILL MARK BRAINLIEST!!!
What is the absolute change from 2011 to 2014.
Give your answer in STANDARD NOTATION.
PLS GUYS!!! I HAVE ONLY 2 HOURS!!!!
Answers
Answer: 3
Step-by-step explanation:
12x−2y=28. Fully simplify your answer.
Answers
helppppppppppppppppppmeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
I divided 56 by 4 to see how much per CD Brad payed. This got me $14. $42 divided by $14 is $3, so he can buy 3 CDs.
Answer:
3
Step-by-step explanation:
For each CD:
$56÷4=$14
Therefore for $42,
$42÷$14=3
Brad can purchase 3 CD'S.
Hope this helps!
Hope this helps!please mark BRAINLIEST.
do 3 over 4 and 9 over 12 form a proportion
Answers
Answer:
0 over 12
Step-by-step explanation:
3/4 is equal to 9/12
so your basically taking 9/12 from 9/12
at the 1997 rate of consumption, about how long will the estimated 2,000 billion barrels of oil last?a. 25 yearsb. 50 yearsc. 75 yearsd. 200 yearse. 500 years
Answers
As the consumption rate of 1997 estimated 2,000 billion barrels of oil last in 74.34 approx 75 year .
As here the rate of 1997 is not given which will be find in the below link which is 73.7000 millions barrels per day was the consumption of oil. here we have awalible the data of per days and we have to calculate for year so in year 1997 there was 365 days so comsumption of oil yearly was .
1997 consumption = 73.700 million barrels per day
so for 1 year 73.700 million *365 =26,900.5 million barrels per day
her we find the rate of yearly so by this rate we will calculate the consumption of 2000 billion barrels of oil
2000 billion = 2,000,000 millions
here we are calculation this in million
so for 2,000,000 million will be
2,000,000 million /26,900.5 million =74.34 year
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I need the answer for this and how you got it please!!!
Answers
Answer:
Correct answer is B.
Step-by-step explanation:
They are equal.
PLEASE HELP MEH MARKING BRAINLIEST
Answers
Answer:
27
Step-by-step explanation:
Count each individual cube.Answer: Volume is calculated by lenght x width x height ,so you would say 6 x 4 x 4. Which is 96 cubic units !!!
Step-by-step explanation:
please help me again!!!! emergency
Answers
Step-by-step explanation:
the input is 11 .
x = 11
plz mark my answer as brainlist plzzzz.hope this will be helpful to you .
Answer:
X=11
Step-by-step explanation:
The output is 19.2 which is 19.2=1.2x+6.
Subtract 6 from 19.2 and you get 13.2.
Then divide by 1.2 and you get 11=x :))
Hope this helped:)) Please mark brainliest:))
Brandon has 79 bottle caps Gemma has 88 bottle caps who has more bottle caps then solve the problem
Answers
Answer:Gemma has more bottle caps.
Step-by-step explanation:
PLEASE HELP! Due in a few hours!!
You need to workout the area of the shape :)
Answers
Answer:
breakdown the initial figure into 2 rectangle
and add their area
find the area of a circle with a radius of two either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal .
Answers
Answer:
4π
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
I believe it would be 2 x 3.14= 6.28
( I said 2 because, isn't that the radius of the circle)
Step-by-step explanation:
The expression f(x) = 12(1.035)* models the monthly growth of membership in the new drama club at a school. According to the function, what is the monthly growth rate?
Answers
Answer:
The monthly growth rate is 3.5%.
Step-by-step explanation:
The exponential growth function is given as follows:
\(y=a(1+r)^{x}\)
Here,
y = final value
a = initial value
r = growth rate
x = time taken
The provided expression for the monthly growth of membership in the new drama club at a school is:
\(f(x) = 12\cdot(1.035)^{x}\)
Comparing this function with the exponential growth function:
\(a(1+r)^{x}=12(1.035)^{x}\\\\a(1+r)^{x}=12(1+0.035)^{x}\)
Then value of r is 0.035 or 3.5%.
Thus, the monthly growth rate is 3.5%.
What are angle 4 and 7 classified it is 180 degree angle
Answers
Explanation: complementary angles are two angles that add up to 180 degrees