The diameter of a circle has endpoints P(-6,-11 ) and Q(4, 7). Write an equation for the circle. Be sure to show and explain all work. Thank you!
Answers
Answer:
(x + 1)^2 + (y + 2)^2 = 106
Step-by-step explanation:
The formula for a circle is
(x - h)^2 + (y - k)^2 = r^2
Where (h, k) is the center of the circle and r is the raadius
--------------------------------------
The center is the midpoint of the diameter end points
(h, k) = ( (-6 + 4)/2 , (-11 + 7)/2 )
(h, k) = (-1, -2)
The radius is the distance from the center to an endpoint
Using (h, k) and Q
r^2 = (4 - -1)^2 + (7 - -2)^2
r^2 = 5^2 + 9^2
r^2 = 106
-------------------------------
Plug into the circle formula
(x + 1)^2 + (y + 2)^2 = 106
Related Questions
In the school cafeteria there are 20 seats at each table.
How many tables are needed for 250 students?
Answers
Answer:
12.5
Step-by-step explanation:
you can solve this by dividing 250/20=12.5
Find the volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant
Answers
The volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant is 16/3 unit cute
V = ∫ dV
= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr
Factorize to have
= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr
= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr
= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr
= ∫0→2 [ 2·r² ] dr
= (2/3)·2³ - (2/3)·0³
Conclusively, this implies that the volume is = 16/3
In conclusion, the volume of the given solid is 16/3. cubic units
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statements that are true for a cylinder with radius r and height h.
Doubling r doubles the volume.
Doubling r quadruples the volume.
Doubling h doubles the volume.
Doubling h quadruples the volume.
Doubling h and r quadruples the volume.
Answers
Answer:
Only the second and third statements are correct:
Doubling r quadruples the volume.
Doubling h doubles the volume.
Step-by-step explanation:
The volume of a cylinder is given by:
[tex]\displaystyle V=\pi r^2h[/tex]
We can go through each statement and examine its validity.
Statement 1)
If the radius is doubled, our new radius is now 2r. Hence, our volume is:
[tex]\displaystyle V=\pi (2r)^2h=4\pi r^2h[/tex]
So, compared to the old volume, the new volume is quadrupled the original volume.
Statement 1 is not correct.
Statement 2)
Using the previous reasonsing, Statement 2 is correct.
Statement 3)
If the height is doubled, our new height is now 2h. Hence, our volume is:
[tex]V=\pi r^2(2h)=2\pi r^2h[/tex]
So, compared to the old volume, the new volume has been doubled.
Statement 3 is correct.
Statement 4)
Statement 4 is not correct using the previous reasonsing.
Statement 5)
Doubling the radius results in 2r and doubling the height results in 2h. Hence, the new volume is:
[tex]V=\pi (2r)^2(2h)=\pi (4r^2)(2h)=8\pi r^2h[/tex]
So, compared to the old volume, the new volume is increased by eight-fold.
Statement 5 is not correct.
A bill of $3400 was paid with $20 notes and $100 notes. Ninety notes were used. How many $20 notes were used?
Answers
Answer:
70
Step-by-step explanation:
for every 5 $20 notes is $100 70 notes is $1400 and the other 20 is $2000 which makes 3400
Solve systems of equations by elimination -3x-3y=3 3x+6y=9
Answers
Answer: x = -5, y = 4
Step-by-step explanation:
Align the two equations according to their terms:
[tex]\left \{ {{-3x-3y = 3} \atop {3x+6y = 9}} \right.[/tex]
Add the two equations. Because -3x and 3x equals zero, they can be eliminated from the equation. This results in:
[tex]3y = 12\\y = 4[/tex]
Plug in y = 4 into the first equation:
[tex]-3x - 3(4) = 3\\[/tex]
Solve for x:
[tex]-3x-12 = 3\\-3x = 15\\x = -5[/tex]
Check by plugging in both x and y:
[tex]-3(-5) - 3(4) = 3\\15 - 12 = 3\\3 = 3[/tex]
So, x = -5 and y = 4
anoheeeeeeeeeeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answers
Answer: [tex]\frac{29}{6}[/tex]
Step-by-step explanation:
To make an improper fraction, make the whole number into a fraction with the denominator 6. We do this because we want the fraction and the whole number to have the same denominator, so we can later add them together.
To do this, multiply 4 by 6:
[tex]\frac{4 }{6}[/tex] * [tex]\frac{6}{1}[/tex] = [tex]\frac{24}{6}[/tex]
Then, add [tex]\frac{24}{6}[/tex] and [tex]\frac{5}{6}[/tex] together
[tex]\frac{24}{6}[/tex] + [tex]\frac{5}{6}[/tex] = [tex]\frac{29}{6}[/tex]
Find the value of x.
Answers
Answer:
76 don't know how to explain it
when finding the exterior angle, a good thing to keep in mind would be the exterior angle theorem: m<1 = m<2 + m<3z
if you are given the measurements of the angles INSIDE the triangle, it would equal the exterior angle.
hope this helped!
What is the equation of this graph in slope intercept form
Answers
The slope-intercept form of the equations presented on the graph are;
y = 4
y = 3
What is the slope-intercept form of the equation of a line?The slope-intercept form of the equation of a line is; y = m·x + c, where;
m = The slope of the graph
c = The y-intercept of the graph
The equation of the lines in the graphs (blue line, and red line) are found as follows;
The slope of the blue line is found using the points on the graph as follows;
The coordinates of points on the blue line graph are; (0, 4), (2, 4), (4, 4)
The slope is therefore; m = (4 - 4)/(4 - 2) = 0
The y-intercept, obtained from the graph is; c = 4
The value of the slope, m = 0, indicates that the graph is an horizontal line with an equation y = c
c = 4
The equation of the blue line graph in slope-intercept form is therefore;
y = 4
The coordinates of points on the red line graph are; (0, 3), (2, 3), (4, 3)
The slope of the red line graph is therefore;
m = (3 - 3)/(4 - 2) = 0
The y-intercept of the red line graph is; c = 3
The value of the slope, m = 0, and the y-intercept, c = 3, indicates that the equation of the red line graph is therefore;
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he heights of young women aged 20 to 29 follow approximately the N(64, 2.7) distribution. Young men the same age have heights distributed as N(69.3, 2.8).Height is measured in inches.A young woman in that age group is randomly selected; independently, a young man in that age group is randomly selected. What is the probability that the young man is taller than the young woman by more than 5 inches
Answers
Answer:
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Distribution of the difference in height between men and woman:
Applying the concept above:
[tex]\mu = 69.3 - 64 = 5.3[/tex]
[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]
What is the probability that the young man is taller than the young woman by more than 5 inches?
Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5 - 5.3}{3.89}[/tex]
[tex]Z = -0.08[/tex]
[tex]Z = -0.08[/tex] has a pvalue of 0.4681
1 - 0.4681 = 0.5319
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches
Does anyone know how to solve this
Answers
A test for syphilis gives a positive result with probability 0.98 when tested on a person whohas the disease. The test gives a negative result with probability 0.9 when tested on a personwho does not have the disease. Assume that 3% of a society has the disease, and compute thefollowing probabilities in the order they are asked. Note that for each individual there are twodisease status(disease, no disease) and two types of test results(positive, negative).
a) Compute the probability that an individual has the disease and has a positive test result. Explain.
b) Compute the probability that an individual does not have the disease and has a positive test result.
c) What does the sum of two probabilities given above correspond to? Explan.
d) If possible, using the three probabilities computed above compute the probability that an individual with a positive test result has the disease. Give reasons to your computation.
Answers
Answer:
a) P₁ = 0,0294
b) P₂ = 0,097
c) P₃ = 0,1264
P₃ is the total probability of the individual having a positive test result
d) P₄ = 0,232
Step-by-step explanation:
a) Probability that an individual has the disease and has a positive result is P₁ :
P₁ = The probability of having the disease * Probability of + in the test result
P₁ = 0,03 * 0,98
P₁ = 0,0294
b) the probability that an individual does not have the disease and has a positive test result P₂ is:
P₂ = 0,97 * 0,1
P₂ = 0,097
c) P₃ the sum of the two previous probabilities is:
P₃ = 0,0294 + 0,097
P₃ = 0,1264
P₃ is the total probability of the individual having a positive test result
d) Applying the Bayes theorem we can get the probability that an individual with a positive test result has the disease. (P₄ )
Bayes theorem establishes:
P [ A/B ] = P[B/A] * P(A) / P(B)
In this case
P[ with disease/ given (+)tr]
= P [(+)Test/ with disease]* P (with disease)/ P of test +
P₄ = 0,98 * 0,03 / 0,1264
P₄ = 0,232
What type of correlation does the following have? The age of a person vs. The
last four digits of their phone number.
Answers
Answer:
no correlation
Step-by-step explanation:
Given K (9,-9), L(2,-2), M(-9,-5), and N (5, y). Find y such that
KL_|_MN.
Answers
On solving the provided question, we cans say that - here in coordinates S is given by: [tex](-2,4)[/tex]
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
x-coordinate of [tex]X = -2[/tex]
y-coordinate of[tex]S = 4.[/tex]
S is given by: [tex](-2,4)[/tex]
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On solving the provided question, we cans say that - here in coordinates S is given by: (-2,4)
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
x-coordinate of -2
y-coordinate of 4
S is given by: (-2,4)
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The figure shown is a rectangle with a semicircle on each end. What is the area of the
figure? Use 3.14 for 7 and round your answer to the nearest tenth.
Answers
9514 1404 393
Answer:
(c) 76.3 in^2
Step-by-step explanation:
From the offered selections, you can make an informed choice with a simple estimate.
The overall length of the figure is 8+6 = 14 inches, and its width is 6 inches. The area will be smaller than a 14 × 6 = 84 square inch rectangle, and larger than the central rectangle of 8 × 6 = 48 square inches.
The only choice in the range 48 to 84 square inches is the correct one:
76.3 square inches
__
If you'd like to figure it out, the area is the sum of the 48 square inch central rectangle and the (π/4)(36 in^2) ≈ 28.26 square inch circle. That total, rounded to tenths, is 76.3 square inches.
Simplify
(6.89 + 14.52) + (-14.52) =
Answers
Answer:
6.89
Step-by-step explanation:
Add 6.89 and 14.52 together. Subtract 14.52 from that. You should get 6.89. Hope this helps.
In Ronna’s class, the ratio of boys to girls is 2:3. In Suzie’s class, there are half as many girls as in Ronna’s class. If there are 12 boys in Ronna’s class, how many girls are in Suzie’s class?
Answers
Answer:
4
Step-by-step explanation:
2:3
4:6
6:9
8:12
8 girls in Ronna’s class
Half of 8 is 4
parallel abcd is similar to parallelogrem efgh. what is the lenght of gh?
Answers
The value of side GH as shown in the parallelogram is 2 units
What is an parallelogram?Parallelogram is a polygon that has four sides (quadrilateral) and opposite sides are always equal and parallel to each other
Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are proportional. Also, their corresponding angles are equal to each other.
Parallelogram abcd is similar to parallelogram efgh, hence:
FG/BC = GH / CD
substituting:
7/21 = GH / 6
GH = 6 * 7/21 = 2
GH is 2 in
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What is the value of l-14l
Answers
Answer:
Step-by-step explanation:
-140
The answer to |-14| is 14
Please help me! Find the value of x and y
Answers
Answer:
[tex]x=6[/tex]
[tex]y=3\sqrt{2}[/tex]
Step-by-step explanation:
[tex]x^2=(3\sqrt{2})^2+(3\sqrt{2)^2}[/tex]
[tex]\sqrt{x^2} =\sqrt{36}[/tex]
[tex]x=6[/tex]
----------------------
hope it helps..
have a great day!!
Answer:
x=6
y=3√2
Step-by-step explanation:
hope it helps you...
Use the binomial theorem to expand expressions 1-4 and answer question 5.
1. (3x^2 +y)^3
2. (5x^4 +2y^5)^4
3. (x^3 +4y^2)^5
4. (x-2y)^6
5. find the coefficient of x^3 y^4 in the expansion of (2x+5y^2)^5
Answers
On solving the provided question, we cans ay that the value of x from the polynomial [tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex] is = 16 and 1
what are polynomials?A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.
here,
[tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex]
as x = 0 and y = 1
answer is = 16 and 1
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Practice Test
Flashcards
Stu
Question 4 Mathematics Practice Test for the TEAS
Solve the equation and choose the best answer:
9
6
6
4
7
C
6
Answers
Answer:
Where is the equation??
PLEASE HELP ME, EASY MATH QUESTION !!!! (no links), beainliest xtra points profile thanks, thanks, 5star rating ((IF CORRECT))
This data set shows all of the scores Jane earned on her math tests.
{80, 90, 90, 92, 94,95, 95, 97, 98, 98, 100, 100}
Jane removes her lowest score from the data set.
How are the mean and median test scores affected?
Select from the drop-down menus to correctly complete the statements.
The mean score ____.
A) Increases
B) Decreases
C) Stays the same
The median score ____.
A) Increases
B) Decreases
C) Stays the same
Answers
Answer:
1) A) Increases
2) C) Stays the same
Step-by-step explanation:
1) A) Increases (94 to 95)
2) C) Stays the same (95)
Estimate how many liters of air you breathe in one year. To calculate your estimate, you must make assumptions.
1. Assume it takes 10 breathes to blow up a balloon the size of a two-liter bottle.
2. Assume 10 breathes per minute.
A)
500,000 liters
B)
1,000,000 liters
)
2,500,000 liters
D)
10,000,000 liters
Answers
Answer: 1,000,000
Step-by-step explanation: USA test prep
each minute your heart pumps 1.5 gallons of blood around your body. How many pints of blood will your heart pump in a day?
Answers
The heart pumps around 17280 pints of blood in a day.
To find out how many pints of blood your heart pumps in a day, we need to determine the total volume of blood that your heart pumps in one day.
We know that your heart pumps 1.5 gallons of blood per minute. To find out how much blood your heart pumps in one day, we need to multiply that amount by the number of minutes in a day.
1 day = 24 hours
1 hour = 60 minutes
So, the number of minutes in one day is 24 hours x 60 minutes = 1440 minutes
Now, we can use this information to find out how many gallons of blood your heart pumps in a day.
Gallons of blood pumped per day = 1.5 gallons/minute x 1440 minutes/day
= 2160 gallons
1 gallon = 8 pints
So the number of pints of blood that your heart pumps in a day = 2160 gallons × 8 pints/gallon = 17280 pints.
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your heart pumps 2000 gallons of blood around your body each day.
if your body pumps around 1.5 gallons of blood each minute then a day is 24 hours so yu do that x together which is 20 but as its hours you do it for 2000 and just incase yu need some more info
(1.5 imperial gallons) x 24 hours = 589.173508 m3 s
SORRY IF THIS DONT ALL MAKE SO MUCH SENSE
Simplify this expression.
4^9/4^3
Answers
Answer: [tex]\frac{4^{9} }{4^{3} }[/tex]=4096
Steps:
[tex]\frac{4^{9} }{4^{3} }[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]\frac{4^9}{4^3}=4^{9-3}[/tex]
[tex]=4^{9-3}[/tex]
[tex]4^{9} -^{3}[/tex]
=4096
The Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.
What is simplifying?Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler (usually shorter), for example.
Simplification of algebraic expressions, in computer algebra.
Simplification usually involves making the expression simple and easy to use later.
We need to Simplifying the expression
4 ^ 9 / 4 ^ 3 .
Now, 4 ^ 9 / 4 ^ 3
Using exponent formula;
= 4 ^ ( 9 - 3 )
= 4 ^ 6
= 4096
Therefore, the Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.
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7, 12, 15
Right traingle????
Answers
Answer:
No, it is not a right triangle.
10. What is the stope of the line shown in the graph Express your answer as an improper fraction or as an integer as appropriate. Show your work
f
Answers
Step-by-step explanation:
slope is y2-y1/x2-x1
formula is
y=mx+b where m is the slope
3. Candy previously sold for $1.60 per pound is now offered for 48 cents in a 6 ounce
package. What is the ratio of former price to present price??
Answers
Answer: 5:3
Step-by-step explanation:
note: 16 ounces= one pound
6 ounces = ?
∴6 ounces = pounds
48 cents = pounds
multiplying both sides by
108 cents = 1 pound in the new price
= $1.08 in the new price
ratio of old price to new price =
therefore ratio of old to the new price = 5:3
What is sin 30°?
60°
2
2
1
90°
30°
3
Answers
According to the property of cofunctions, [tex]$\sin 30^{\circ}$[/tex] exists equivalent to
[tex]$\cos 60^{\circ} \cdot \sin 30^{\circ}=1 / 2$[/tex].
What is cofunction?A trigonometric function whose value for the complement of an angle exists equivalent to the value of a given trigonometric function of the angle itself the sine exists the cofunction of the cosine.
According to the property of cofunctions, [tex]$\sin 30^{\circ}$[/tex] exists equivalent to
[tex]$\cos 60^{\circ} \cdot \sin 30^{\circ}=1 / 2$[/tex].
Therefore, the correct answer is option B. 1/2.
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I’ll mark brainlist
NO LINKS
ty!
Answers
Answer:
The answer would be A
Step-by-step explanation:
you would need to change the denominator to 14
Answer:
A is the correct answer
Step-by-step explanation:
If you simplify 10/14 and 7/14, you will get 5/7 and 1/2