Answer:
(-3,-2,2,3}
that is the answer
Find the center and radius of the circle represented by the equation below.
x^2+y^2-8x-20y+52=0
Answer:
Step-by-step explanation:
To find the center and radius of the circle represented by the equation:
x^2 + y^2 - 8x - 20y + 52 = 0
We can start by completing the square for both x and y terms as follows:
(x^2 - 8x) + (y^2 - 20y) + 52 = 0
(x^2 - 8x + 16) + (y^2 - 20y + 100) + 52 = 16 + 100
(x - 4)^2 + (y - 10)^2 = 64
Thus, the equation can be rewritten in the standard form of the circle as:
(x - 4)^2 + (y - 10)^2 = 8^2
Therefore, the center of the circle is (4, 10), and its radius is 8 units.
Step-by-step explanation:
x² + y² - 8x - 20y + 52 = 0
the standard circle equation is
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle, and r is the radius.
now, we need to find the squared terms in the original equation.
x² and y² are clearly from the (x - h)² and (y - k)².
and then
(x - h)² = x² - 2hx + h²
-2hx = -8x
2h = 8
h = 4
(y - k)² = y² - 2ky + k²
-2ky = -20y
2k = 20
k = 10
h² + k² = 16 + 100 = 116
116 - r² = 52
r² = 64
r = 8
so, the center is (4, 10), the radius is 8.
George buys a set of 224 stamps he gives 44 stamps to a friend
Answer:
what am i suppose to answer !!!!
Answer:
he has 180 left
Step-by-step explanation:
because 224-44=180
Which of the following equations represents a linear function?
x = 3
y equals one half times x minus 5
y equals three fourths times x squared
3x − 6 = 4
The equations that represent a linear functions are:
x = 3y = 1/2x - 53x − 6 = 4How to determine the linear functionsFrom the question, we have the following parameters that can be used in our computation:
The list of options
As a general rule
Linear functions are functions with a degree of 1
Using the above as a guide, we have the following equations with a degree of 1:
x = 3y = 1/2x - 53x − 6 = 4Read more about linear relations at
https://brainly.com/question/28732353
#SPJ1
A pole 8 feet tall is used to support a guy wire for a tower, which runs from the tower
to a metal stake in the ground. After placing the pole, Mav measures the distance
from the pole to the stake and from the pole to the tower, as shown in the diagram
below. Find the length of the guy wire, to the nearest foot.
8 ft
H24 ft +
(Diagram is not to scale.)
Answer:
77 ft long.
Step-by-step explanation:
Explanations are clearer in the photo I sent. These are actual photos I have had screen shot. Since, I even commented saying answer "50" is wrong and now this is the proof of a real answer.
The library in Booneville collected $3,470 in overdue fees last year. This year, the library collected $347. What is the percent of decrease in the amount collected?
find x, round to nearest tenth. URGENT HELP, show proofs
The value of x is 33.6( nearest tenth)
What is Pythagoras theorem?The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
c² = a²+b²
represent the two sides of x by a and b
from the big triangle
b = √ 29² - 12²
b = √ 841 -144
b = √ 697
b = 26.4
from the small Triangle
a = √ 14²-12²
a = √ 196-144
a = √52
a = 7.2
x = a+b
x = 7.2+26.4
x = 33.6( nearest tenth)
therefore the value of x is 33.6
learn more about Pythagoras theorem from
https://brainly.com/question/231802
#SPJ1
9. What is the length of the
hypotenuse of the triangle
when x = 2?
Answer:
Right triangle JKL with JK measuring 33, angle J measures 60 degrees and angle L measure 30 degrees. 33rad … ical 3 66 33radical 2 16.5 5 Select the correct answer. 2 2
Step-by-step explanation:
In each diagram, line g is parallel to like k, and line t intersects line g and k.
The correct answer to the question on parallel line is option (a), i.e: The value of x is 109°, because the labelled angles in each diagram are congruent.
What are parallel lines?Parallel lines are defined as lines that lie in the same plane, are always equidistant from each other, and therefore never intersect, and are called parallel lines. ]
What are corresponding angles?A matched angle is the angle formed by the matching angle or transversal and the corresponding angle when two parallel lines intersect another line (that is, transversal).
According to the question:
In the diagram, the angle "x" is corresponding angle to 109°, so by the property "corresponding angle axiom "of intersecting line to parallel lines
angle "x" is equal to 109°.
To learn more about parallel lines visit the link below
https://brainly.com/question/16701300
#SPJ1
When writing 7–√979 as 7n7n, which statement is true about the value of n?
[tex](\sqrt[9]{7} = 7^{1/9}[/tex] is true about the value of n in polynomial.
What is a polynomial, simply put?
Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable).
A polynomial function is a function that can be expressed in the form of a polynomial. The definition can be derived from the definition of a polynomial equation. A polynomial is generally represented as P(x). The highest power of the variable of P(x) is known as its degree.
the value of n is 1/9 because ([tex](\sqrt[9]{7} )^{9}[/tex] = 7¹
and ( [tex](7^{1/9})^{9}[/tex] = 7¹
[tex](\sqrt[9]{7} = 7^{1/9}[/tex]
is correct option .
Learn more about polynomial
brainly.com/question/11536910
#SPJ1
A plan for a house includes a rectangular room with an area of 80 square feet and a perimeter of 36 feet. What are the length and width of the room
Answer:
Let's call the length of the rectangular room "L" and the width "W". We know that the area (A) of the room is 80 square feet, so:
A = L x W
We also know that the perimeter (P) of the room is 36 feet. The formula for the perimeter of a rectangle is:
P = 2L + 2W
We can use the fact that P = 36 to solve for one of the variables in terms of the other. Solving for W, we get:
W = (36 - 2L) / 2
Now we can substitute this expression for W into the formula for the area:
A = L x ((36 - 2L) / 2)
Simplifying, we get:
80 = (L x (36 - 2L)) / 2
Multiplying both sides by 2, we get:
160 = L x (36 - 2L)
Expanding the right side, we get:
160 = 36L - 2L^2
Rearranging and simplifying, we get a quadratic equation:
2L^2 - 36L + 160 = 0
We can solve this quadratic equation using the quadratic formula:
L = [36 ± sqrt(36^2 - 4(2)(160))] / (2(2))
Simplifying, we get:
L = [36 ± sqrt(576)] / 4
L = [36 ± 24] / 4
L = 15 or L = 5
Since the length cannot be smaller than the width, we can disregard the solution L = 5. Therefore, the length of the rectangular room is 15 feet, and the width can be found using the formula we derived earlier:
W = (36 - 2L) / 2 = (36 - 2(15)) / 2 = 3
So the length of the room is 15 feet and the width is 3 feet.
What is the equation of the line in slope intercept form
You work for a company that rents out inflatable tents for birthday parties. A customer has asked you for the typical length of time a tent will stay inflated. For recent events, your data show the following inflation times, in hours: 24, 27, 27, 24, 27, 24, 24, 27, 24, 24, 24, and 27.
What is the best measure to describe the typical length of time that a tent will stay inflated?
spread
mode
mean
median
none of the above
According to the information, the best measure to describes the typical length of time that a tent will stay inflated is mean (average).
How to identify the option that corresponds to the best measure to describe typical length of time that a tent will stay Inflated?To identify the option that corresponds to the best measure to describes the typical length of time that a tend te stay inflated we have to analyze data and then we have to select the best option. In this case the most adequated measure is mean because it allow is to establish the average of time that a tent stay inflated. According to the above, this is the mean of the time that a tent will stay inflated
24 + 24 + 24 + 24 + 24 + 24 + 24 + 27 + 27 + 27 + 27 + 27 = 303303 /12 = 25.25Learn more about mean in: https://brainly.com/question/21800892
#SPJ1
What is the area of this trapezoid
Enter your answer in the box
Answer:
322 ft^2
Step-by-step explanation:
((a+c)*v )/2 35+11 *14 /2
Please help!!! See imagine bellow!!!
Answer:
onomatopoeia
Step-by-step explanation:
Work out the equation of a line that has a gradient of -2 and passes through (1,7)
With the infοrmatiοn prοvided, the sοlutiοn is 2x + y = 9.
What are equatiοns used fοr?A mathematical equatiοn, including such 6 x 4 = 12 x 2, states that twο numbers οr values are equivalent. a meaningful nοun. An equatiοn is used when twο οr even mοre factοrs must be cοnsidered jοintly in οrder tο understand οr explain the whοle situatiοn.
Given:
Slοpe οr gradient οf line = -2
The lοcatiοn where the line passes = (1,7)
Equatiοn οf a line thrοugh (h,k) with a slοpe οf m:
(y - k) = (x -h) m
Equatiοn οf a line thrοugh (1,7) with a slοpe οf (-2): -
⇒ (y - 7) = (x - 1)(-2)
⇒ y - 7 = - 2x + 2
⇒ y = -2x + 2 + 7
⇒ y = -2x + 9
οr
⇒2x + y = 9
Verificatiοn οf respοnse:
We may check οur respοnse by substituting (1,7) in the fοrmula 2x+y=9.
⟹ LHS = (2×1)+7
⟹ LHS = 2+7
⟹ LHS = 9
Therefοre , LHS = RHS.
Alsο, yοu can use the equatiοn tο determine the gradient οr slοpe and cοnfirm yοur sοlutiοn.
⟹ Slοpe is equal tο -(cοefficient οf x)/ (cοefficient οf y)
⟹ Slοpe = - 2 /1
⟹ slοpe = -2
To know more about Equation visit:
https://brainly.com/question/29538993
#SPJ9
The initial price of the bag is $50 and the final price is $52. Find the percent error in
the price.
Answer: There isn't an error, it's taxes
Step-by-step explanation:
Answer:
The percent error in the price can be calculated using the formula:
percent error = |(experimental value - actual value) / actual value| x 100%
In this case, the experimental value is the final price of $52 and the actual value is the initial price of $50. So we have:
percent error = |(52 - 50) / 50| x 100%
percent error = |2/50| x 100%
percent error = 4%
Therefore, the percent error in the price is 4%.
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWERS! PLEASE HELP DUE SOON
The analysis of the number of runners, can be presented as follows;
a. The sequence is a geometric sequence
b. r(3) = 72, which indicates that the number of runners after the third week is 72
c. r(6)/r(5) = (2/3)
d. The recursive rule for r(w) is that the number of runners in a week is (2/3) × The number of passengers in the previous week
What is a sequence?A sequence is an ordered list of items.
The number of passengers currently in the running club = 243
The amount by which the number reduces each week = 2/3 the number in the previous week.
a. Therefore, the number of passengers each week can be presented as follows;
First week = 243
Second week = (2/3) × 243 = 162
Third week = (2/3)³ × 243
Therefore, the number of runners in the nth week is; an= (2/3)ⁿ × 243, which is a geometric sequence
b. The number of runners in the wth week, r(w) = 2/3)^w × 243,
Therefore; r(3) = (2/3)³ × 243 = 72
The meaning of the value is that the number of runners in the third week, r(3) = 72 runners
c. r(6))/(r(5)) can be obtained as follows;
r(6) = (2/3)^6 × 243
r(5) = (2/3)^5 × 243
r(6)/r(5) = ((2/3)^6 × 243)/( (2/3)^5 × 243) = (2/3)
d. The recursive formula can be obtained as follows;
The number of passengers in a specified week = (2/3) × The number of passengers in the previous week
r(w + 1) = (2/3)^w × 243
Learn more on geometric progression here: https://brainly.com/question/29250973
#SPJ1
Bob’s school is selling tickets to a concert. On Monday, the school sold 3 student tickets and 1 adult ticket for a total of $38. On Tuesday, the school made $52 by selling 3 student tickets and 2 adult tickets. Find the price of a student ticket and the price of an adult ticket. SHOW YOUR WORK.
Answer:
Let's call the price of a student ticket "s" and the price of an adult ticket "a".
From the first day's sales, we know that:
3s + 1a = 38
From the second day's sales, we know that:
3s + 2a = 52
We can use these two equations to solve for "s" and "a".
First, we'll use the first equation to solve for "a":
3s + a = 38
a = 38 - 3s
Next, we'll substitute this expression for "a" into the second equation:
3s + 2(38 - 3s) = 52
Simplifying and solving for "s", we get:
3s + 76 - 6s = 52
-3s = -24
s = 8
So the price of a student ticket is $8.
We can substitute this value back into the first equation to solve for "a":
3(8) + a = 38
24 + a = 38
a = 14
So the price of an adult ticket is $14.
Indicate whether the sentence or statement is true or false. (2 + 3) + 5 = 2 + (3 + 5)
Answer:
True
Step-by-step explanation:
(2 + 3) + 5 = 2 + (3 + 5)
5+5=2+8
10=10
this statement is true
8.2 A sum of R45 360 has to be shared among three people. Divide the money between Ayanda, (4 Zipho and Palesa according to the ratio of 4:3:2
Answer:
Ayanda will receive R20,160, Zipho will receive R15,120, and Palesa will receive R10,080.
Step-by-step explanation:
We can use the ratio of 4:3:2 to find the total number of parts:
4 + 3 + 2 = 9
This means that the money will be divided into 9 equal parts, and Ayanda will get 4 parts, Zipho will get 3 parts, and Palesa will get 2 parts.
To find the value of one part, we divide the total amount by 9:
45,360 / 9 = 5,040
Therefore, one part is worth R5,040.
Now we can find the amount of money each person will receive by multiplying their respective parts by the value of one part:
Ayanda: 4 parts × R5,040/part = R20,160
Zipho: 3 parts × R5,040/part = R15,120
Palesa: 2 parts × R5,040/part = R10,080
Therefore, Ayanda will receive R20,160, Zipho will receive R15,120, and Palesa will receive R10,080.
Immediate help!!!! Will give brainiest! John wants to make a salad using one type of lettuce and one other type of vegetable. Which are possible outcomes? Check all that apply. Picture below.
Answer:
Option 1: iceberg lettuce and peppers
Option 2: romaine lettuce and cucumbers
Option 4: tomatoes and iceberg lettuce (order does not matter)
Option 6: cucumbers and iceberg lettuce
Step-by-step explanation:
We have the option of choosing one item(lettuce) from the left box and one veggie from the right box
All possible outcomes are
Highlighted entries correspond to correct answer choices
{iceberg , peppers} Option 1
{iceberg , cucumbers} Option 6
{iceberg , tomatoes} Option 4
{romaine, peppers}
{romaine, cucumbers} Option 2
{romaine, tomatoes}
From the options given we can choose
Option 1: iceberg lettuce and peppers
Option 2: romaine lettuce and cucumbers
Option 4: tomatoes and iceberg lettuce (order does not matter)
Option 6: cucumbers and iceberg lettuce
The scatterplot below shows the relationship between years of education and income for a representative sample for adults
The best estimate οf the average change in the incοme that is assοciated with gοing tο schοοl fοr an additiοnal year is $3000.
What is plοtting data?A graph that depicts the relatiοnship between twο extra variables is the mοst cοmmοn way tο plοtting data using a chart. It is alsο permitted tο use hand-drawn οr digitally generated diagrams. Beginning at the οrigin, mοve 2 units tο the right, then 3 units up. In the cοοrdinate plane, the cοοrdinates fοr the pοints 2, 3, and 4 shοuld be shοwn. Explain yοur pοints in detail. Sο, the pink dοt with the letter P represents the number 2.3. Yοu must first prοduce a number line fοr each value in yοur data cοllectiοn befοre yοu can create a line chart.
The scatterplοt suggests that there is a cοrrelatiοn between years οf schοοling and incοme that is favοurable. The graph's pοints οften create an upward slοping pattern gοing frοm left tο right, shοwing that thοse with mοre educatiοn typically earn mοre mοney.
It is impοrtant tο remember that there is still sοme diversity in incοme levels amοng thοse with the same degree οf educatiοn, indicating that the link between educatiοn and incοme is nοt perfectly linear. Other variables, such οccupatiοn, industry, and jοb experience, may alsο be at play and have an impact οn incοme levels.
As, the mοst dense vοlume is in $3000, then the best estimate οf the average change in the incοme that is assοciated with gοing tο schοοl fοr an additiοnal year is $3000.
To know more about plotting data visit:
brainly.com/question/29096917
#SPJ1
Complete question:
can i get more offers please thank you so much
Answer:
Step-by-step explanation:umm
Please help:)))))))))))
Option C is correct, x=-1/12y² represents the equation of the parabola.
What is Conic section?A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane
The given curve represents a parabola
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.
it's a sideway parabola (expressed as x=......) plus it does not have any x<0 as you can see in the graph,
so x must be always positive for every value of y
Hence, option C is correct, x=-1/12y² represents the equation of the parabola.
To learn more on Conic section click:
https://brainly.com/question/28991363
#SPJ1
Mallory's Border Collie had 13 puppies in 2 litters. Determine the rate for a ratio of the two different quantities.
A: 2 over 13 puppies per litter
B: 13 over 15 puppies per litter
C: 2 over 1 puppies per litter
D: 13 over 2 puppies per litter
None of the given options match this result, so the answer is none of the above.
What is ratio ?
A ratio is a quantitative comparison of two or more quantities or values, expressed as the quotient of one divided by the other. It is usually represented in the form of a fraction, using a colon, or by the word "to". For example, if there are 6 boys and 4 girls in a class, the ratio of boys to girls can be represented as 6:4, or 6/4, or 6 to 4. Ratios are often used to compare the relative sizes or amounts of two or more things, such as ingredients in a recipe, parts in a machine, or components in a financial statement.
The rate for a ratio of the two different quantities is the number of one quantity for each unit of the other quantity. In this case, the rate is the number of puppies per litter.
Mallory had 13 puppies in 2 litters, so the rate is:
13 puppies / 2 litters = 6.5 puppies per litter
None of the given options match this result, so the answer is none of the above.
Therefore, none of the given options match this result, so the answer is none of the above.
To know more about ratio visit :
https://brainly.com/question/12024093
#SPJ1
You have 700 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?
Answer:
the largest area that can be enclosed with 700 feet of fencing is 61,250 square feet
Step-by-step explanation:
Anthony is younger than Kadeesha. Their ages are consecutive integers. Find Anthony's age if the sum of the square of Anthony's age and 2 times Kadeesha's age is 82.
Answer:
8 yo
Step-by-step explanation:
A = age of Anthony
K = age of Kadeesha
Formulate equations based on the information given:
K = A + 1
A² + 2K = 82
Solve the simultaneous equations by substitution:
A² + 2(A + 1) = 82
A² + 2A + 2 = 82
A² + 2A - 80 = 0
(A + 10)(A - 8) = 0
A + 10 = 0 → A = -10
A - 8 = 0 → A = 8
Anthony can't be -10yo, so he is 8yo
Kadeesha is, therefore, 9yo
In the circle below, suppose mWXU = 152° and mXWV=71°. Find the following.
(a) mWXU =
(b) mXUV =
The values of are;
1. angle WXU = 104°
2. angle XUV = 109°
What is a cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral. The circle which consists of all the vertices of any polygon on its circumference is known as the circumcircle or circumscribed circle.
The sum of opposite in angle Ina cyclic quadrilateral is 180°
angle v = 152/2 = 76°
therefore angle XWV = 180-(76) = 104°
angle XUV = 180-71 = 109°
learn more about cyclic quadrilateral from
https://brainly.com/question/26690979
#SPJ1
How much money should be deposited today in an account that earns 8.5% compounded monthly so that it will accumulate to $9000 in three years?
The amount of money that should be deposited is
Answer:
$6981
Step-by-step explanation:
If you put $6981 in a deposit and your interest rate is 8.5% monthly it will give you $2,019.62 which then means your total will be $9,000.62
Hope this helped :) please mark as brainlyist
Airplane A traveled 1662 miles in six hours.
For Airplane B, y = [tex]\frac{922}{3}x[/tex]
x represents its rate of speed over the same six hours.
Compare the two airplanes to determine which airplane traveled at a faster rate?
Airplane A traveled at a faster rate. The solution has been obtained by using speed-distance-time relationship.
What is speed-distance-time?Speed is calculated by dividing the distance traveled by the time needed to complete the journey. Distance and speed are intimately associated but time and speed are not.
We are given that Airplane A traveled 1662 miles in six hours.
We know that Speed = Distance / Time
Using this, we get
⇒Speed = 1662 / 6
⇒Speed = 277 miles per hour
We are given for Airplane B that y = 922/3x , where x represents its rate of speed over the same six hours
So, from this we get,
⇒Speed = (922/3) / 6
⇒Speed = 922 / 18
⇒Speed = 51.22 miles per hour
Hence, Airplane A traveled at a faster rate.
Learn more about speed-distance-time from the given link
https://brainly.com/question/26862717
#SPJ1