To find the center of a circle when the circumference is not given, you still find it.
1. Determine the coordinates of at least three non-collinear points on the circle. Non-collinear points are points that do not lie on a straight line.
2. Using these points, create two line segments that are chords of the circle. A chord is a line segment connecting two points on the circle.
3. Find the midpoints of each chord. The midpoint formula is given as: Midpoint (M) = ((x1 + x2) / 2, (y1 + y2) / 2).
4. Calculate the slope of each chord using the slope formula: Slope (m) = (y2 - y1) / (x2 - x1).
5. Calculate the slope of the perpendicular bisectors of each chord. Since these lines are perpendicular to the chords, their slopes are the negative reciprocal of the chord slopes: m_perpendicular = -1 / m_chord.
6. Write the equation of each perpendicular bisector using the point-slope formula: y - y_midpoint = m_perpendicular * (x - x_midpoint).
7. Solve the system of equations formed by the two perpendicular bisectors. The solution is the coordinates of the center of the circle.
By following these steps, you can find the center of the circle even when the circumference is not given.
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Write the place and value of 9 in 384.809
Answer:
in the thousandths
Step-by-step explanation:
because it would go
hundreds,tens,ones (decimal) tenths, hundredths,then thousandths
Answer:
Thousandths place and 0.009
Step-by-step explanation:
What is the equation of the line that passes through the point (2, -4) and has a
slope of 2
Answer:
y = 2x - 8 OR 4 - 2x = -4 - y
Step-by-step explanation:
Use the point-slope form m(x₁-x₂) = (y₁-y₂); m means slope
plug in your numbers:
2(2-x₂) = (-4-y₂)
4 - 2x = -4 - y
or to put it into Y=mx + b:
y = 2x + 8
isaak is writing an explicit formula to represent the sequence. 64, 112, 196, 343, ... what value should he use as the common ratio in the formula? write the answer as a decimal rounded to the nearest hundredth. a) 0.75. b) 1.75. c) 58. d) 279.
To determine the common ratio for the sequence 64, 112, 196, 343, ... we need to find the ratio between any two consecutive terms.
The ratio between the second and first terms is:
112/64 = 1.75
The ratio between the third and second terms is:
196/112 = 1.75
The ratio between the fourth and third terms is:
343/196 = 1.75
Since the ratios between all consecutive terms are the same, we can conclude that the common ratio for this sequence is 1.75.
Therefore, the answer is (b) 1.75.
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Which equation would intersect the line on the graph at the point (-2,
-2)?
Answer:
Y = 0x-2.
Step-by-step explanation:
I don't want the question of my teachers being in my b or I am a good time wi and I am
Please, help! 20 points
Mrs. Garcia’s class sold burgers for $1.36 each and Mr. Runner’s class sold salads for $1.65 each. Together, the classes sold 79 items and earned $118.17 for their school.
(a) Write a system of equations that model the problem.
x + s = 79 1.36(x) + 1.65(s) = 118.17
(b) Solve the systems of equations from part a.
(c) Whose class sold more items?
(d) Which class earned more money?
The 42 burgers are sold by Mrs. Garcia's class at $57.12 and 37 salad is sold by Mr. Runner’s class at $61.05.
What is a system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Mrs. Garcia’s class sold burgers for $1.36 each and Mr. Runner’s class sold salads for $1.65 each. Together, the classes sold 79 items and earned $118.17 for their school.
(a) Write a system of equations that model the problem.Let x burgers are sold by Mrs. Garcia's class and s salad is sold by Mr. Runner’s class. Together, the classes sold 79 items for their school. Thus,
\(x + s = 79\) .....1
Mrs. Garcia’s class sold burgers for $1.36 each and Mr. Runner’s class sold salads for $1.65 each. Together, the classes earned $118.17 for their school. Thus,
\(1.36(x) + 1.65(s) = 118.17\\1.36x + 1.65s = 118.17\) ....2
(b) Solve the systems of equations from part a.Rewrite the first equation,
\(x + s = 79 \\ x = 79-s\) .....3
Put this value of x in equation 2,
\(1.36(79-s) + 1.65s = 118.17\\107.44-1.36s + 1.65s = 118.17\\0.29s=118.17-107.44\\s=\dfrac{10.73}{0.29}\\s=37\)
Put this value in equation 3,
\(x=79-37\\x=42\)
(c) Whose class sold more items?42 burgers are sold by Mrs. Garcia's class and 37 salad is sold by Mr. Runner’s class. Thus, Mrs. Garcia's class sold more items.
(d) Which class earned more money?Money earned by Mrs. Garcia's class by selling 42 burger at $1.36 each is,
\(M_x=1.36\times42\\M_x=57.12\)
Money earned by Mr. Runner’s class by selling 37 salad at $1.65 each is,
\(M_s=1.65\times37\\M_s=61.05\)
Thus, Mr. Runner’s class earned more money.
Hence, the 42 burgers are sold by Mrs. Garcia's class at $57.12 and 37 salad is sold by Mr. Runner’s class at $61.05.
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a certain statistic dˆ is being used to estimate a population parameter d. the expected value of dˆ is not equal to d. what property does dˆ exhibit?a. The sampling distribution of d hat is normal.b. The sampling distribution of d hat is binomial.c. The sampling distribution of d hat is uniform.d. d hat is unbiased.e. d hat is biased.
The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.
In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.
The Central Limit Theorem establishes that for a proportion p in a sample of size n:
The expected value is μ=р
The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)
In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.
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There are 354 mangoes. They have to be made into trays of 9 mangoes each. How many trays can be made? How many mangoes are left behind?
There are 3 mangoes left behind after making 39 trays of 9 mangoes each
To find out how many trays can be made from 354 mangoes, we divide the total number of mangoes by the number of mangoes per tray.
Number of mangoes per tray = 9
Number of trays = 354 mangoes / 9 mangoes per tray
Number of trays = 39 trays
So, 39 trays can be made from 354 mangoes.
To determine how many mangoes are left behind, we subtract the number of mangoes used for the trays from the total number of mangoes.
Number of mangoes left behind = Total number of mangoes - Number of mangoes used for trays
Number of mangoes left behind = 354 mangoes - (39 trays * 9 mangoes per tray)
Number of mangoes left behind = 354 mangoes - 351 mangoes
Number of mangoes left behind = 3 mangoes
Therefore, there are 3 mangoes left behind after making 39 trays of 9 mangoes each
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y=-3x + 6
What is the slope?
And what would the points be on a graph
77th term for -10,-8,-6
9514 1404 393
Answer:
142
Step-by-step explanation:
The first term of this arithmetic sequence is -10. The common difference is -8-(-10) = 2. The n-th term is ...
an = a1 +d(n -1)
an = -10 +2(n -1) = 2n -12
Then the 77th term is ...
a77 = 2(77) -12 = 154 -12
a77 = 142
The 77th term is 142.
What is the expression written as a single power?
(−4)8 · (−4) −5. (-4)⁰
O (-4)⁰
O-4
(-4)³
O-43
The expression (−4)⁸(−4)⁻⁵(-4)⁰ written as a single power is given by (- 4)³.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is the expression as -
(−4)⁸(−4)⁻⁵(-4)⁰
The given expression is -
(−4)⁸(−4)⁻⁵(-4)⁰
(- 4)⁸ ⁻ ⁵ ⁺ ⁰
(- 4)³
Therefore, the expression (−4)⁸(−4)⁻⁵(-4)⁰ written as a single power is given by (- 4)³.
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At jonathan's school, there are 30 seventh graders participating in the school play. of the students in the seventh grade, 60% are not participating in the school play. how many seventh graders at jonathan's school are not participating in the school play? a. 75 b. 60 c. 45 d. 20
Answer:
A) 75 students
Step-by-step explanation:
30 students = 40%
so 100% = 75
Solve for s.
Give an exact answer.
63 – 4= 8(2+1/4s)
Answer:
s=5
Step-by-step explanation:
6s-4=8(2+1/4s)
6s-4=16+2s
4s-4=16
4s=20
s=5
Answer:
5
Step-by-step explanation:
6s-4=8x2 + 8x1/4s
6s -4 =16+2s
6s-2s = 16 +4
4s=20
s=5
solve the equation for y. leave your answer in terms for pie
pie=7x-2y
Answer
y=(7x-π)/2
Step-by-step explanation:
π=7x-2y
2y=7x-π
y=(7x-π)/2
In ΔWXY, \overline{WY} WY is extended through point Y to point Z, \text{m}\angle YWX = (3x+17)^{\circ}m∠YWX=(3x+17) ∘ , \text{m}\angle XYZ = (10x-5)^{\circ}m∠XYZ=(10x−5) ∘ , and \text{m}\angle WXY = (3x+2)^{\circ}m∠WXY=(3x+2) ∘ . Find \text{m}\angle WXY.m∠WXY
The value of ∠WXY = 20.
What is Exterior angle theorem?
The exterior angle theorem describes the connection between the two remote angles in a triangle and the external angle created by an extended side outside the triangle.
Given: Measure of angle YWX = (3x + 17) °
Measure of angle WXY = (3x + 2) °
Measure of angle XYZ = (10x − 5) °
Therefore, m∠XYZ = m∠YWX + m∠WXY (exterior angle theorem)
⇒ (10x − 5) ° = (3x + 17) ° + (3x + 2) °
Solve for x,
⇒ 10x - 5 = 3x + 17 + 3x + 2
⇒ 10x - 6x = 17 + 7
⇒ 4x = 24
⇒ x = 6
∴ ∠WXY = (3x + 2) = 18 + 2 = 20
Hence, value of ∠WXY = 20.
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This rectangular prism is 2 cm long, 1 cm high and 1 cm wide. What is the object's volume? a. 2 cm3 b. 4 cm3 C. 2 cm d. 4ml Dashboard / Courses / UNISA / 20 / OPM1501-22-Y / Welcome to OPM Marked out of 2.00 Flag question the median of the above data is a. 57 b. 57+57 C. 56 d. 89 Which of the following best describe the difference between standard units and nonstandard units? a. A major benefit of the non-standard units is that the students get a visual representation of the physical world b. Standard units of measurement are units of measurement that are typically used within each measurement system. Nonstandard units of measurement are units of measurement that aren't typically used, such as a pencil, a toothpick, or a shoe. c. Standard units are what we usually use to measure things like weight and length d. Standard units are common units of measurement such as centimeters, grams, and litres. What is the volume of this liquid? a. 75 km b. 75ml C. 73ml Which of the following best describe the difference between length and area? a. Length is the size of a line segment; area is the size of a closed region in a plane b. Distance and space C. Distance formula and volume d. Area is the size of a closed region; length is the height of an object / OPM1501-22-Y / Welcome to OPM1501 / A Question 1 Not yet answered Marked out of 2.00 Flag question In which grade are learners expected to investigate the relationship between perimeter and area of rectangles and squares? a. Grade 4 b. Grade 6 c. Grade 5 d. Grade 7
The volume of a rectangular prism can be calculated by multiplying its length, height, and width. Given that the length is 2 cm, the height is 1 cm, and the width is 1 cm, the volume is: Volume = Length x Height x Width = 2 cm x 1 cm x 1 cm = 2 cm3
The median is the middle value in a set of data when arranged in ascending or descending order. Since there is only one value given, which is 57, it is also the median.
Standard units are commonly used units of measurement, such as centimeters, grams, and liters. They provide a consistent and widely accepted system for measurement. Nonstandard units, on the other hand, are not typically used units of measurement and can vary based on personal preferences or objects used for comparison. They may provide a visual representation of the physical world but are not standardized.
The volume of the liquid is given as 73 ml.
Length refers to the size of a line segment, which measures the distance between two points. Area, on the other hand, refers to the size of a closed region in a plane and measures the amount of space occupied by that region.
The volume of the rectangular prism is 2 cm3, the median of the given data is 57, the difference between standard units and nonstandard units lies in their typical usage and standardization, the volume of the liquid is 73 ml, the difference between length and area lies in the nature of what they measure, and learners are expected to investigate the relationship between perimeter and area of rectangles and squares
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an old friend tells you that 30 years ago she nailed a sign into a tree trunk at a height of 1 meter. she now says the sign is 25 meters up in the tree. should you believe her? why or why not?
You should not believe her .
Given that,
You learn from an old friend that thirty years ago, she nailed a sign into the trunk of a tree at a height of one meter. She now claims that the sign is located 25 meters up a tree.
Meristems that are found at the tips of branches allow trees to grow taller. Apical meristems are the name for these meristems. Due to apical meristems, roots also spread into the soil by developing at their terminals. Apical meristems can be seen in every tree bud you can see. Another meristem, the vascular cambium, which was previously noted, is responsible for the expansion of trunk diameter. The trunk, branches, and roots continue to get bigger because the vascular cambium creates new xylem and phloem every year. Have you ever witnessed a fence board or wire transform into a tree?
The vascular cambium is responsible for that outcome. Height development prevents the fence wire or board from rising into the air.
Therefore, you should not believe her .
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How do you do this question?
Answer:
.
Step-by-step explanation:
Is this congruent by SSS, SAS, AAS, ASA? :)
Answer:
AAS
Step-by-step explanation:
Given triangles are congruent by AAS test.
Y-4=3(x+4) write in slope intercept form
Answer:
y - 4 = 3x + 12
y= 3x + 12 + 4
y = 3x + 16
Answer:
y = 3x + 16
Step-by-step explanation:
The slope-intercept form is: y = mx + b
m is the slope which in this question is 3.
y = 3x + b
4 = 3(-4) + b
4 = -12 + b
16 = b
write the log equation as an exponential equation. you do not need to solve for x.
Answer:
2x^5log=1/6
Step-by-step explanation:
using the natural log (e), we were able to give the power of 5 to 2x and then take it out from the parantheses
. sam flipped a coin 30 times and recorded 20 heads/10 tails. compare the theoretical and experimental probability.
Sam's experimental probability of getting heads in 30 coin flips was 20 out of 30, while the theoretical probability of getting heads is 1/2 or 0.5.
Sam's experimental probability of getting heads in the 30 coin flips was 20 out of 30, which can be written as 20/30 or simplified to 2/3. This means that in the experiment, heads appeared in approximately two-thirds of the flips. On the other hand, the theoretical probability of getting heads in a fair coin flip is 1/2 or 0.5. This is because there are two equally likely outcomes (heads or tails) and only one of them is heads.
Comparing the experimental and theoretical probabilities, we can see that Sam's results deviate slightly from the expected outcome. The experimental probability of getting heads is higher than the theoretical probability. This could be due to chance or random variation, as 30 coin flips may not be enough to perfectly represent the true probability. With a larger number of trials, the experimental probability would tend to converge towards the theoretical probability. However, in this specific experiment, Sam's results suggest a slightly biased coin favoring heads.
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Please help ASAP!!
8(5x-3)-11(3x+7)=102
Please solve!
Answer:
x = 29
Step-by-step explanation:
8(5x-3)-11(3x+7)=102
40x - 24 - 33x - 77 = 102
7x - 101 = 102
7x = 203
x = 29
Answer:
X=29
Step-by-step explanation:
questions in the attached img. thanks in advance
Answer:
\(\(\: \blue{ \rule{10pt}{100000pt}}\)\(\: \pink{ \rule{10pt}{100000pt}}\)\(\: \green{ \rule{10pt}{100000pt}}\)\(\: \violet{ \rule{10pt}{100000pt}}\)
\\ \(\: \blue{ \rule{10pt}{100000pt}}\)\(\: \pink{ \rule{10pt}{100000pt}}\)\(\: \green{ \rule{10pt}{100000pt}}\)\(\: \violet{ \rule{10pt}{100000pt}}\)
\)
sketch the graph of
a,3y-2=5
The graph of the equation of line is explain below
Explain the concept of equation of line?The general equation of a straight line is y = mx + c, where m is the slope, and y = c is the worth where the line cuts the y-pivot. This number c is known as the block on the y-pivot. Central issue. The condition of a straight line with inclination m and block c on the y-hub is y = mx + c.
According to given data:We have, equation of line ,3y-2=5
⇒ y = 7/3
Its graph is shown below,
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please help, thank you if you do help me
Answer:
Question 1: -3
Question 2: 5
Step-by-step explanation:
Question 1's value decreses by 3 so the answer is -3 :)
Question 2's value increases by 5 so the answer is 5 :)
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i cant discover how to do reflection and congruency
Answer:
A reflection is a congruence transformation because it maintains the original shape and size of the pre-image. A reflection is a figure flipped over a line of reflection. A common example is a mirror but a reflection can also be shown in water, like with a picture of a lake, the line of reflection would be the divide between the water and the shore.
It is sufficient to test an analogy by asking what are its relevant similarities.
True or False
The statement that It is sufficient to test an analogy by asking what are its relevant similarities is false.
Analogy refers to the process of comparison of two or more items such that it explains some idea, or classification or familiarity and representativeness. Studying the analogies helps in enhancing, strengthening and reinforcing the skills in areas such as reading comprehension, homophones, deductive reasoning and logic.
Testing an analogy only by relevant similarities will produce partial results which might not be suitable to fully explain the reason. Hence, both relevant similarities and differences are to be considered for more detailed review. Different kind of analogies used to explain the differences or similarities are synonym and antonym, symbol and reference, degree of differences.
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A 2-gallon container of window cleaner costs $31.68. What is the price per quart?
Answer: $3.96 per quart
Step-by-step explanation:
2 gallons = 8 quarts
Price per quart = 31.68/8 = $3.96
Therefore, price per quart = $3.96
Answer:
$3.36 per gallon
Step-by-step explanation:
So 2 gallons is equal to 8 quarts, so then you do $31.68 divided by 8 which gives you the answer of $3.36 per gallon
The riddle family income is 3400 per month. They spend 1088 per month on housing. Use information to determine the percent of the budget spent on housing
Answer:
32%
Step-by-step explanation:
\(\frac{1088}{3400}\)=\(\frac{x}{100}\)
(1088)(100)=(3400)(x)
108800=3400x
x=32
32%
The percent of the budget spent on housing is 31.76%.
What is percentage?
Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.
Given that, The riddle family income is 3400 per month.
They spend 1088 per month on housing.
We know the formula for percentage which is;
Percentage = (given value/whole value)*100,
Percentage = (1080/3400)*100
Percentage = 31.76
Hence, The percentage is 31.76%.
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Which values are areas of cross sections that are parallel to a face of this right rectangular prism?
480 square units
120 square units
80 square units
24 square units
The value is 24 square units is parallel to the face of the right rectangular prism.
We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.
So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:
A = 6 × 4
A = 24
Thus, the value is 24 square units is parallel to the face of the right rectangular prism.
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A = 6 × 4
A = 24
Thus, the value is 24 square units is parallel to the face of the right rectangular prism.