write the equation in stands form for the circle with center (0, -8) passing through (0, 3/2)
Answers
well, we know the circle passes through (0 , 3/2) so the distance from the center and that point is its radius, so
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{3}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}= \sqrt{(~~ 0- 0 ~~)^2 + (~~ \frac{3}{2}- (-8) ~~)^2} \implies r= \sqrt{0 + (~~ \frac{3}{2} +8 ~~)^2} \\\\\\ r=\sqrt{\left( \frac{19}{2} \right)^2}\implies r=\cfrac{19}{2} \\\\[-0.35em] ~\dotfill\)
\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{-8}{k})}\qquad \stackrel{radius}{\underset{\frac{19}{2}}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-(-8) ~~ )^2~~ = ~~\left( \cfrac{19}{2} \right)^2\implies x^2+(y+8)^2~~ = ~~\cfrac{361}{4}\)
Related Questions
What is the coefficient of the second term in the expression 12x+xy-7y?
Answers
Answer:
1
Step-by-step explanation:
sebastian buys a t shirt that costs 25.36 it is on sale for 4.52 off what is the sale price
Answers
Answer:
20.84
Step-by-step explanation:
$25.36 - $4.52 = $20.84
Hope this helps
find the length of a rectangle with a width of 12 inches and a perimeter of 1440 inches
Answers
The length of a rectangle with a perimeter of 1440in and a width of 12in is 708 inches.
What is the length of the rectangle?A rectangle is simply a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.
The perimeter of a rectangle is expressed as;
Perimeter = 2( length + width )
Given the data in the question;
Perimeter = 1440 inWidth = 12 inLength = lPlug the given values into the perimeter equation and solve for length.
Perimeter = 2( length + width )
1440 = 2( l + 12 )
Expand using distributive property
1440 = 2l + ( 2×12 )
1440 = 2l + 24
2l = 1440 - 24
2l = 1416
l = 1416/2
l = 708 in
Therefore, the length of a rectangle with a perimeter of 1440in and a width of 12in is 708 inches.
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Calculate the slope of the line shown on the graph using any two of the labeled points. Show your work on paper or in the box below.
Answers
Answer:
A Benjamin Franklin
B George Washington
C Abraham Lincoln
D John Adams
please help me please
Answers
Answer:
2πx - 4
Step-by-step explanation:
C = 2πr
r = (x-2)
C = 2π(x-2)
C = 2πx - 4
Pls help me out. :)..
Answers
Answer:
1402 tiles
Step-by-step explanation:
so in order to find the amount of glass tiles we will first need to find the surface area of the box
so the surface area formula for a rectangular prism is
2 (wl * hw* hl)
w- width
h- height
l- length
so the width would be 18centimeters
the height would be 7 cm
and the length would be 23 cm
therefore if we plug in the measurements into the equation it will give us a total surface area of
1402cm^2
therefore if Dimitri wants to cover the box with 1cm glass tiles then we take the 1402cm and divide it by 1cm leaving us with the same answer of
1402 tiles
a jogger runs 8 miles north and then 5 miles west what is the shortest distance to the nearest tenth of a mile he must travel to return to his starting point
Answers
The distance between each base on a baseball diamond is 70 feet. How far would a player have to throw the ball to get it from 1st base to 3rd base? Round your answer to the nearest tenth and label your answer.
Answers
Answer:
140
Step-by-step explanation:
From the 1st base to the 2nd base is 70 feet.
From 2nd base to 3rd base is 140 because 70×2=140.
Another way to do this is 70+70=140.
Hopefully this helps :)
Plz help me I dont understand
Answers
Answer: the answer is -7/5
Answer:
The answer is C
Step-by-step explanation:
The length of Celia 's garden is 15m 24cm. The length of her friend's garden is 2m 98cm more than Ceila 's. What is the length of her friend's garden
Answers
Step-by-step explanation:
so, that means the friend's garden length is
15m 24cm + 2m 98cm
we can do this in 2 main ways.
1. using the fact that this is a metric system with 1m = 100cm.
15.24m + 2.98m = 18.22m = 18m 22cm
2. using fractions
15 24/100 m + 2 98/100 m =
= (1500 + 24)/100 + (200 + 98)/100 =
= 1524/100 + 298/100 = (1524 + 298)/100 =
= 1822/100 = (1800 + 22)/100 = 18 22/100 m =
= 18m 22cm
ultimately, they are both really using the same principles, but it looks a little bit different.
In quadrilateral ABCD, the diagonals intersect at point T. Jasmine has used the Alternate Interior Angles Theorem to show that angle DAC is congruent to angle BCA and that angle ADB is congruent to angle CBD. Which of the following can Jasmine use to prove that triangle ATD is congruent to triangle CTB
Answers
This question is based on the concept of congruent. Therefore, the correct option is C, i.e. DA ≅ BC.
What is quadrilateral?A quadrilateral is a closed form that has four sides, four vertices, and four angles. It's made by connecting four non-collinear points. The total of quadrilateral inner angles is always 360 degrees. A quadrilateral is a closed shape with four sides. These are quadrilateral figures: Raphael was used to create this. A quadrilateral form. The form contains only one pair of parallel sides and no right angles. A quadrilateral has four straight sides and is a two-dimensional form. Examples of quadrilaterals include parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
Here,
Given:
In quadrilateral ABCD, the diagonals intersect at point T.
By the alternate interior angles theorem :
Angle DAC is congruent to angle BCA and
angle ADB is congruent to angle CBD
Definition of alternate interior angles theorem:
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , then resulting alternate interior angles are congruent .
In given quadrilateral ABCD,
DAC ≅ BCA
ADB ≅ CBD
And to prove that ATD ≅ CTB,
Then,
DA ≅ BC
Therefore, the correct option is C, i.e. DA ≅ BC.
The idea of congruence lies at the heart of this question. As a result, the right answer is C, which is DA ≅ BC.
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This question is based on the concept of congruent. Therefore, the correct option is C, i.e. DA ≅ BC.
What is quadrilateral?A quadrilateral is a closed form that has four sides, four vertices, and four angles. It's made by connecting four non-collinear points. The total of quadrilateral inner angles is always 360 degrees. A quadrilateral is a closed shape with four sides. These are quadrilateral figures: Raphael was used to create this. A quadrilateral form. The form contains only one pair of parallel sides and no right angles. A quadrilateral has four straight sides and is a two-dimensional form. Examples of quadrilaterals include parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
Here,
Given:
In quadrilateral ABCD, the diagonals intersect at point T.
By the alternate interior angles theorem :
Angle DAC is congruent to angle BCA and
angle ADB is congruent to angle CBD
Definition of alternate interior angles theorem:
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , then resulting alternate interior angles are congruent .
In given quadrilateral ABCD,
DAC ≅ BCA
ADB ≅ CBD
And to prove that ATD ≅ CTB,
Then,
DA ≅ BC
Therefore, the correct option is C, i.e. DA ≅ BC.
The idea of congruence lies at the heart of this question. As a result, the right answer is C, which is DA ≅ BC.
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write the first four terms of the arithmetic sequence given a1=-3 and d=-2
Answers
2) -5
3) -7
4) -9
Explanation:
Arithmetic Sequence Formula
a(n) = a1 + (a - 1) (d)
a= term position
a(n)= nth term
a1= first term
g what is the default alternative hypothesis tested for regression (slope) coefficients in a standard regression output?
Answers
The default alternative hypothesis tested for regression (slope) coefficients in a standard regression output is that the slope coefficient is not equal to zero.
In other words, the alternative hypothesis (H1) states that there is a significant relationship between the independent variable and the dependent variable. This can be represented as:
H1: β ≠ 0
Where β is the regression slope coefficient.
This hypothesis is tested against the null hypothesis (H0) that states there is no significant relationship between the variables, and the slope coefficient is equal to zero:
H0: β = 0
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Complete the statement.
f(3) is
Answers
Answer:
F3.1 Simultaneous Linear Equations. A pair of equations which use both terms at the same time, such as. x. y.
Step-by-step explanation:
Answer:
ITS -1 TRUUSUSSUS
Step-by-step explanation:
Item 2
Divide. Write your answer in simplest form.
−89÷(−89)
Answers
Answer:
the answer is 1
Step-by-step explanation:
calculator
(1 point) Let A be a matrix with linearly independent columns_ Which one of these statements must be true? You have only three attempts at this problem_ OA The equation Ax b has a solution for all b precisely when it has more columns than rows B. The equation Ax =b always has a solution for all b_ C. There is no easy way to tell if Ax = b has a solution for all b D: The equation Ax b has a solution for all b precisely when it has more rows than columns_ E: The equation Ax = b has a solution for all b precisely when it is a square matrix: F The equation Ax b never has a solution for all b_ none of the above
Answers
The statement that must be true is option (f) "The equation Ax = b has a solution for all b precisely when it has more columns than rows".
A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns.
This is because if the matrix has more columns than rows, then the system of equations cannot be underdetermined, meaning that there is a unique solution for the equation.
On the other hand, if the matrix has more rows than columns, then it is possible that the equation Ax = b could have no solutions, which would mean that it is an overdetermined system.
Furthermore, if the matrix is a square matrix, then it will have the same number of rows and columns, and it is possible that the equation Ax = b could have either one solution or no solutions.
Therefore, the statement "The equation Ax = b has a solution for all b precisely when it has more columns than rows" is the only one out of the six given that must be true
Hence the option (f) is correct.
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PLEASE HELP
AC & BD = 4a
AB & CD = 6b
What are the coordinates of point A, point B, point C and point D?
Answers
Answer:
Step-by-step explanation:
34.546.567
Answer:
AB = (-1–3)/2 = -2
AC: (7+1)/6 = 4/3
BC: (7–3)/(6+2) = 1/2
Step-by-step explanation:
Hello, I would really appreciate it if someone would help me out with this problem and explain how they did it if possible. If not that is completely alright. I hope you all have an amazing day. Thank you so much! :) (Even if you don't solve the problem feel free to give it your best guess or even just say "hello" to earn yourself some points. You deserve them.) :D (Will be looking for a brainliest!)
Answers
Answer:
1/2,187
1/367
3^-7
Step-by-step explanation:
I hope this helped, have an amazing day! :D
solve for x.round to the nearest tenth, if necessary.
Answers
64/sin 42=95.6
If the ratio between blue macaws and red macaws that live in Brazil is 272:208, how many blue macaws are there if 2,730 red macaws are living in Brazil?
Answers
2652 blue macaws are there if 2,730 red macaws are living in Brazil.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that the ratio between blue macaws and red macaws that live in Brazil is 272 : 208
We need to find the number of blue macaws are there if 2,730 red macaws are living in Brazil.
Let x be the number of blue macaws for 2,730 red macaws are living in Brazil.
Let us form a proportional equation
272/208=x/2730
Apply cross multiplication
272×2730=208x
742560=208x
Divide both sides by 208
2652=x
Hence, 2652 blue macaws are there if 2,730 red macaws are living in Brazil.
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10. Find the slope of the line
that passes through (2,-20)
and (1, -20).
Answers
Answer:
m = 0
Step-by-step explanation:
The answer is 0, I used the slope formula to figure this out...May I have brainliest? Thanksss!
Select the correct answer from each drop-down menu.
In a particular year, the population of Dallas, TX, was approximately 1 × 10^6 people. If the population of Los Angeles, CA, was approximately three times that of Dallas, there were about ______ x _______ ^6 people living in Los Angeles that year.
The population of Pittsburgh, PA, was approximately 3 × 10^5 people during the same year, which was about ______times that of Dallas.
Answers
Answer:
Step-by-step explanation:
Dallas = 1 x 10^6
Los Angeles = 3 times Dallas = 3 [ 1 x 10^6] = 3 x 10^6
Pittsburgh / Dallas = [ 3 x 10^5 ] / [ 1 x 10^6] = 3 / 10 that of Dallas
What are the coordinates of R', the image of R(-4, 3) after a reflection in the line
y = x
Answers
The coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have:
Image of R(-4, 3) after a reflection in the line y = x
The rule for the reflection over y = x is:
(x, y) = (y, x)
(-4, 3) = (3, -4)
Thus, the coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.
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a class has 10 boys and 12 girls. 3 students are chosen at random to clean the classroom each day. how many unique cleaning teams exist?
Answers
The number of different unique cleaning teams should be 1540.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, A class has 10 boys and 12 girls and 3 students are chosen at random.
So, the team of 3 can be chosen as 3 boys, 3 girls, 1 boy 2 girls, and 1 girl and 2 boys and the total teams will be the sum of different combinations which is,
= \(^{10}C_3 + ^{12}C_3 + ^{10}C_1\times^{12}C_2 + ^{12}C_1\times^{10}C_2\).
= (10×9×8)/6 + (12×11×10)/6 + 10×(12×11)/2 + 12×(10×9)/2.
= 120 + 220 + 660 + 540.
= 1540.
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4(d+e) when d=3 and e=2
Answers
Answer:
20
Step-by-step explanation:
4(d+e)
4(3+2)
4(5)
20
Hopes this helps please mark brainliest
a coin with an unknown probability of heads, m, is flipped 25 times resulting in 15 heads and 10 tails. what is the expected probability that the next flip is a head given the results of the previous 25 coin flips?
Answers
The expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.
The expected probability of a head coming up next given the results of the 25 coin flips is 15/25 = 0.6.
This is due to the fact that 15 of the 25 flips were heads, so the probability of the next head is 15 out of the 25 total flips which is equal to 0.6 or 60%.
However, since the probability of heads (m) is unknown, the expected probability of a head coming up next is still unknown.
Therefore, the expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.
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provide general rule to describe the relationship between 10 100 1000
Answers
Specifically:
100 is obtained by multiplying 10 by 10.
1000 is obtained by multiplying 100 by 10.
Therefore, the general rule is that each subsequent number is obtained by multiplying the previous number by 10.
three points t, u, and v on the number line have coordinates t, u, and v, respectively. is point t between points u and v ?
Answers
We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.
To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.
Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.
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Please help me. I tried every answer possible. Due today.
Answers
The rate of change of what the cab company charges is; $3.3 per mile
What is the rate of change?The rate of change is simply the slope of the graph which is the change in y-values per change in corresponding x-values. Thus;
Rate of change here is;
Slope = (y₂ - y₁)/(x₂ - x₁)
We are told that the cab company charges a one time pick up fee of $2 for every ride as well as a $1.10 charge for each mile travelled.
Thus;
Base fee = $2
Rate of change = 2 + 1.1
Rate of change = $3.3 per mile
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9. Need sum help with this ASAP
Answers
The value of the missing side lengths such as b and d would be = 3.5 and 11.3
How to calculate the value of the missing side lengths of the given triangle?To calculate the side length of the given triangle, the sine rule must be obeyed. That is;
a/sinA= b/sin B
For the first triangle;
b = ?
B = 30°
a = 6
A = 60°
That is ;
b/ sin30° = 6/sin60°
Make b the subject of formula;
b = sin30×6/sin60
= 0.5×6/0.866025403
= 3.5
For second triangle:
a/sinA= d/sin D
where;
a = 8
A = 45°
d = ?
D = 90°
That is;
8/sin45° = d/sin90°
d =8×1/0.707106781
= 11.3
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