To find the equation of a circle centered at point (-9, 10) that passes through (18, 12), we can use the general equation of a circle:
(x - h)² + (y - k)² = r²
where (h, k) represents the center of the circle and r represents the radius.
Given that the center of the circle is (-9, 10), we can substitute these values into the equation:
(x - (-9))² + (y - 10)² = r²
(x + 9)² + (y - 10)² = r²
Now, we need to find the radius (r). Since the circle passes through the point (18, 12), we can use the distance formula between the center and the given point to find the radius:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(18 - (-9))² + (12 - 10)²]
r = √[(27)² + (2)²]
r = √[729 + 4]
r = √733
Now, substituting the value of the radius into the equation of the circle, we get:
(x + 9)² + (y - 10)² = (√733)²
(x + 9)² + (y - 10)² = 733
Therefore, the equation of the circle centered at (-9, 10) and passing through (18, 12) is (x + 9)² + (y - 10)² = 733.
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Which FAR Part 77 imaginary surface has slopes that may range from 20:1 to 50:1?
The primary surface
The horizontal surface
The approach surface
The conical surface
The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.
The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.
Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.
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Use the following image to answer the question.
Four angles formed by intersecting lines m and n. Angles are labeled clockwise from left: angle 1, angle 2, angle 3, and angle 4.
What statement can be used to prove that vertical angles ∠1 and ∠3 are congruent?
A.) m∠1+m∠3=m∠2+m∠4
B.) m∠1=m∠2 and m∠2=m∠3
C.) m∠1+m∠2=m∠2+m∠3
D.) m∠1=m∠4 and m∠2=m∠3
The answer is C.) m∠1+m∠2=m∠2+m∠3
Answer:
its D
Step-by-step explanation:
i took the quiz
PLEASE HELP ME.What letter should appear next in the sequence? V,T,S,R
Answer:
in what sentence all i see is the letters no image above
5x+2y=13
2x+6y+26
what is the answer to the question
Step-by-step explanation:
5x+2y=13
2x+6y=26
\(5x = 13 - 2y \\ x = \frac{13 - 2y}{5} \)
\(2( \frac{13 - 2y}{5} ) + 6y = 26\)
\( \frac{26}{5} - \frac{4y}{5} + 6y = 26\)
\(6y - \frac{4y}{5} = 26 - \frac{26}{5} \\ \)
\(5.2y = 20.8 \\ y = 4 \\ x = \frac{13 - 2 \times 4}{5} = \frac{13 - 8}{5} \\ x = 1\)
Graph f(x)=−0.25x+4.
Use the line tool and select two points to graph the line.
My graph only goes from 1-10!
Simplify the expression to a+bi form: (10+10i)+(-7+3i)
Answer:
3+13i
Step-by-step explanation:
(10+10i)+(-7+3i)
Combine the real parts
10+-7 = 3
And the imaginary parts
10i +3i = 13i
Combine them to make the complex number
3+13i
Pleaseeee Helpp!!!!!!!
Answer:
It's a translation because if it were a rotation, it would be flipped the other way.
Step-by-step explanation:
Answer:
It is a translation.
Step-by-step explanation:
The flag was translated either up or down. So basically all the flag did was move, it did not rotate.
4x+3y = 22 (slope intercept forma
Answer:
I am pretty sure it is y=22-4x/3
Step-by-step explanation:
4x+3y=22
(you need to put it in y=mx+b format)
-subtract 4x on both sides-
3y=22-4x
-divide by 3 on both sides-
y=22-4x/3
Not sure if this is correct, but I hope this helps!
what is 2 divided by -1/4
Answer:
-8 is the answer
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Answer:
-8
Step-by-step explanation:
Make a reciprocal of -1/4. Then multiply 2 by -4.
The length of one side of this equilateral triangle is 1/2b - 1.
Determine whether each expression is equivalent to the perimeter of the triangle.
Select Yes or No for each expression.
3/2b - 1
3(1/2b) - 3
1/2b - 3
1/2(3b) - 3
1/2b+1/2b+1/2b-1-1-1
The perimeter of the equilateral triangle is P = 3 ( 1/2b ) - 3
What is an Equilateral Triangle?An equilateral triangle is a triangle in which all three sides have the same length.
Let the triangle be ΔABC , and
∠A = ∠B = ∠C = 60° and AB = BC = CA
The perimeter of equilateral triangle P = 3a , where a is the measure of side
Given data ,
Let the perimeter of the triangle be represented as P
Let the measure of the side of the equilateral triangle be a
Now , the value of a = ( 1/2b ) - 1
And , perimeter of equilateral triangle P = 3a
On simplifying the equation , we get
The perimeter of equilateral triangle P = 3 ( 1/2b ) - 1
On further simplification , we get
P = ( 1/2b ) + ( 1/2b ) + ( 1/2b ) - 1 - 1 - 1
Therefore , the value of P is 3 ( 1/2b ) - 1
Hence , the perimeter of the equilateral triangle is P = 3 ( 1/2b ) - 1
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Answer the question below:
Answer:
6.75
Step-by-step explanation:
Answer:
The area is 6.75 ft.
Step-by-step explanation:
To solve this:
b × h = A
Base × Height = Area
The base is 3 ft.
The height is 2.25 ft.
3 × 2.25 = 6.75
So your answer is 6.75 ft.
Please help me on my assignment I have to do it before taking the test
Answer:
26
Step-by-step explanation:
w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26
What is the domain of the following ordered pairs?
(-1, 3), (0, 8), (3, 23), (-5, -17), (-3, -7)
The domain is the set of all the x-values used by those points.
{ -1, 0, 3, -5, -3 }
The order does not matter.
Which of the following is equal to 5 4/9? (MULTIPLE CHOICE)
20/125
100/625
125/200
5/8
625/1000
The equations X+5y = 10, 3x-y = 1, X-5y = 10, and 3x+y = 1 are shown on the graph below.
Which is the approximate solution for the system of equation x+5y=10 and 3x+y=1?
O (-.3, 2.1)
O (-0.3, -2.1)
O (0.9, -2.1)
O(0.9, 1.8)
Answer:
: If you're anxious, scared or frustrated, take time to feel things around you as you speak to calm down. This can be paper or the surface you're sitting on. It works for me at least. I think this will help. You can also lightly tap on your computer for a rhythm. I hope this helps all of you. I know it's too late but maybe next time it will help. Sorry for the long message.
Step-by-step explanation:
And D should be ur answer.
Answer:
i think is O(-.3.2.1 is it that
f(x1, x2) 421 +222 3x² +213 5x11² (√₁+√₂)² 10ln(₁) (x₁+x₂)(x² + x3) min(3r1, 10√2) max{5x1,2r2} MP1(x1, x₂) MP2(X1, X₂) TRS(x1, x₂) Output (2,4)
The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.
The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:
1. The first term is 421 + 222, which equals 643.
2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.
3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.
4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.
5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.
6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.
7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.
8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.
9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.
Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:
- 421 + 222 = 643
- 3x² + 213 = 225
- 5x11² = 1210
- (√₁+√₂)² = 9
- 10ln(₁) ≈ 6.9314718
- (x₁+x₂)(x² + x3) = 408
The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.
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express as a trininomial(2x−3)(3x−4)
Answer:
6x²-17x+12
Step-by-step explanation:
2x(3x-4)-3(3x-4)
6x²-8x-9x+12
6x²-17x+12
Please help me with my Geometry.
Answer:
it should be 6
Step-by-step explanation:
I could be wrong
PLS HELP ME!!! which matrix represents the system of equations below {8x-9y+13z=11
{-8x-5y+5z=15
{3x+4y-8z=-10
Answer:
The answer is below
Step-by-step explanation:
The system of equations:
8x-9y+13z=11
-8x-5y+5z=15
3x+4y-8z=-10
The equations can be represented in matrix form as:
AX = B
X = A⁻¹B
Therefore:
\(\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] ^{-1}\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\)
\(\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}\frac{1}{19} &-\frac{1}{19}&\frac{1}{19}\\-\frac{49}{380}&-\frac{103}{380}&-\frac{36}{95} \\-\frac{17}{380}&-\frac{69}{380}&-\frac{28}{95} \end{array}\right] \left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-0.74\\-1.69\\0.13\end{array}\right] \\\)
Drag the tiles to the correct boxes to complete pairs
Answer:
q(x) = x^2 - 4x + 1
r(x) = 0
b(x) = x - 3
Explanation:
Let us do the polynomial long division.
This tells us
\(x^3-7x^2+13x-3=\left(x-3\right)\left(x^2-4x+1\right)+0\)dividing both sides by x - 3 gives
\(\frac{x^3-7x^2+13x-3}{x-3}=\frac{\left(x-3\right)\left(x^2-4x+1\right)}{x-3}+\frac{0}{x-3}\)\(\boxed{\frac{x^3-7x^2+13x-3}{x-3}=(x^2-4x+1)+\frac{0}{x-3}.}\)The above tells us that
q(x) = x^2 - 4x + 1
r(x) = 0
b(x) = x - 3.
which are our answers!
Factorise x3+13x2+32x+20
Answer:
(x+1)(x+10)(x+2)
Step-by-step explanation:
work below
feel free to ask any questions
Randi shovels and salts her neighbors' driveways and walkways to earn money during the winter months in her town near the Pocono Mountains. She charges $25 dollars per hour because the amount of time she spends shoveling and salting depends on the size of the driveway and walkway.
Randi has to pay for the salt that she uses, which costs her $3.00 per job on average. She also saves $2.00 per job to cover the costs of replacement shovels as needed.
Randi's profit is the total amount of money that she collects from a snow shoveling and salting job that takes t hours minus her costs.
Randi earned a profit of $60.00 on her last snow shoveling and salting job. Write an equation that can be solved to find how many hours Randi spent shoveling and salting to earn a profit of $60.00.Write your answer in the form of an algebraic equation using the math editor. You do not have to solve the equation, but you will need to use your equation to complete the next test question.
Answer:
25t = 65
Step-by-step explanation:
Given that :
Profit earned = $60
Charge per hour = $25
Randy's cost or expenses = $(2 + 3) = $5 per job
Profit = (charge per hour * t) - cost
Where t = time
$60 = ($25 * t) - $5
$60 = $25t - $5
$25t = $65
A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel). Find P(Girl | K-name)
Answer:
2/3
The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.
Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:
P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3
Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.
In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).
We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.
The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.
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Help me find the scale factor
Answer:
1.5
Step-by-step explanation:
of the similar shapes you are only given the lengths of two corresponding sides, 22mm and 33mm
if you do 33/22 you get 1.5 so your scale factor is 1.5
(in order to go from the original shape to the copy times by 1.5, and divide if you know the length of the copy and want to work out the original)
The plot shown below displays the number of books read last month by nine students. what is the median number of books read last month by these nine students.
Answer:
I think the answer is 2.
Step-by-step explanation:
I think 2 would be the median because there are 5 numbers including zero, so the middle number would be 2.
Hope this was helpful!!! Brainliest would be greatly appreciated!!!!
Copy and complete the statement for ΔDEF with medians DH, EJ, and FG, and centroid K. DK = _ KH
The centroid is the point of intersection of the medians. In triangle ΔDEF, the statement DK = 2KH holds true.
DK = 2KH
In triangle ΔDEF, the statement DK = 2KH means that the length of DK is twice the length of KH. Let's understand this statement with an example.
Suppose we have a triangle ΔDEF, with medians DH, EJ, and FG, and centroid K. If we measure the length of KH and find it to be 5 units, then according to the statement DK = 2KH, the length of DK would be 2 times 5, which is 10 units.
This implies that the distance from the centroid K to a vertex D is twice the distance from the centroid K to the midpoint of the side opposite to D. In our example, the distance from K to D is twice the distance from K to the midpoint of the side opposite to D, which is 10 units and 5 units, respectively.
This relationship holds true for any triangle, regardless of its size or shape. The medians always intersect at the centroid, and the ratio of the lengths DK to KH is always 2:1.
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What is the total value of 60 hundreds?
Answer:
6000
Step-by-step explanation:
Multiply 60 by 100:
60 x 100 = 6,000
The answer is 6,000 ( six thousand)
i gonna keep putting this until it gets answered
Please answer
here is a table of values for y=f(x)
x( -5, -3,0,2,6,7,9,10,13)
f(x)(1,2,3,0,1,2,3,0,1)
mark the statements that are true
a.) f(0)=10
b.) f(-3)=2
c.) the range for f(x) is all real numbers
d.) the domain for f(x) is the set ( -5,-3,0,2,6,7,9,10,13 )
also there may be more than one answer
Step-by-step explanation:
both B and D are correct.
if an independent variable in a multiple linear regression model is an exact linear combination of other independent variables, the model suffers from the problem of .
The problem of multicollinearity. Multicollinearity refers to a situation in which two or more independent variables in a multiple linear regression model are highly correlated with each other.
This can lead to problems in estimating the regression coefficients accurately and can also result in unstable and inconsistent estimates of the coefficients. Multicollinearity can also make it difficult to determine the individual effects of the independent variables on the dependent variable, as well as to detect which variables are significant predictors.
Multicollinearity can also have a negative impact on the validity of hypothesis tests and can lead to over-fitting of the model. When the independent variables are highly correlated with each other, the regression coefficients are less precise and can have large standard errors, making it difficult to determine their significance.
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Multicollinearity occurs when two or more independent variables are highly correlated, meaning that one can be easily predicted from the other. This can lead to an unreliable model as it can produce inaccurate results.
Multicollinearity occurs when two or more independent variables in a multiple linear regression model are highly correlated, meaning that one can be easily predicted from the other.
If an independent variable is an exact linear combination of other independent variables, then the model is suffering from multicollinearity, which can cause the coefficients to be unstable and have large standard errors.
To address this issue, researchers can use techniques such as principal component analysis or ridge regression to reduce the correlation between the independent variables. These techniques can help improve the accuracy and reliability of the model.
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Given that z is a standard normal random variable, find z for each situation (to 2 decimals). a. The area to the left of z is 0.2119. (Enter negative value as negative number.) -.80 b. The area between -z and z is 0.9070. c. The rea between -z and z is 0.2052. d. The area to the left of z is 0.9951. e. The area to the right of z is 0.6985. (Enter negative value as negative number.)
The z, standard normal random variable for each of the following is
-0.80, 1.64, 0.45, 2.96, 0.38.
Let's have detailed explanation:
a. For the area to the left of z to be 0.2119, we can use the cumulative probability distribution function (CDF) to calculate z. The CDF of a normal distribution is defined as follows:
CDF (z) = P (Z ≤ z)
Since the area to the left of z is 0.2119, that means P (Z ≤ z) = 0.2119. Let's use the inverse CDF to find the value of z that satisfies that expression.
z = -0.80
b. For the area between -z and z to be 0.9070, we will again use the CDF. The area between -z and z is defined as P (-z ≤ Z ≤ z) = 0.9070. To calculate z, we will use the following expression:
P (-z ≤ Z ≤ z) = P (|Z| ≤ z) = 2P (Z ≤ z) - 1
Since the area between -z and z is 0.9070, that means 2P (Z ≤ z) - 1 = 0.9070. Let's use the inverse CDF to find the value of z that satisfies that expression.
z = 1.64
c.For the area between -z and z to be 0.2052, we will again use the CDF. The area between -z and z is defined as P (-z ≤ Z ≤ z) = 0.2052. To calculate z, we will use the following expression:
P (-z ≤ Z ≤ z) = P (|Z| ≤ z) = 2P (Z ≤ z) - 1
Since the area between -z and z is 0.2052, that means 2P (Z ≤ z) - 1 = 0.2052. Let's use the inverse CDF to find the value of z that satisfies that expression.
z = 0.45
d.For the area to the left of z to be 0.9951, we will again use the CDF. The area to the left of z is defined as P (Z ≤ z) = 0.9951. Let's use the inverse CDF to find the value of z that satisfies that expression.
z = 2.96
e.For the area to the right of z to be 0.6985, we will again use the CDF. The area to the right of z is defined as P (Z ≥ z) = 0.6985. Let's use the inverse CDF to find the value of z that satisfies that expression.
z = 0.38
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