If the endpoints of the diameter of a circle are (−10, −8) and (−6, −2), what is the standard form equation of the circle?
The standard form equation of the circle with endpoints (-10, -8) and (-6, -2) is (x + 8)^2 + (y + 5)^2 = 13.
Explanation:To find the standard form equation of a circle, we need to find the center and the radius. Since the endpoints of the diameter are given, we can find the center by finding the midpoint of the diameter. The x-coordinate of the center is the average of the x-coordinates of the endpoints, and the y-coordinate of the center is the average of the y-coordinates of the endpoints. The radius is half the length of the diameter. Once we have the center and radius, we can plug them into the standard form equation of a circle, which is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.
Step 1: Find the midpoint of the diameter using the formula:
(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)
(x, y) = ((-10 + -6) / 2, (-8 + -2) / 2) = (-16 / 2, -10 / 2) = (-8, -5)
Step 2: Find the radius by halving the length of the diameter:
Length of the diameter = √((x2 - x1)^2 + (y2 - y1)^2) = √((-6 - -10)^2 + (-2 - -8)^2) = √(16 + 36) = √(52)
Radius = √(52) / 2 = √(13)
Step 3: Plug the center and radius into the standard form equation of a circle:
(x + 8)^2 + (y + 5)^2 = 13
MATH:a basketball team needs 5 players. The team can choose from a group of 7 players. Explain how to find the number of combinations of players that can be on the team.
ASAP
The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?
A. 264
B. 462
C. 528
D. 536
The number of wildflowers is doubling each week. Starting with 88 blooms in the first week and 176 in the second, the pattern suggests that there will be 2816 flowers after six weeks.
The student is asking about a pattern of growth in the population of wildflowers. The flowers began blooming with 88 blooms and by the second week, there were 176 flowers in bloom. This indicates that the number of flowers is doubling each week. To find the number of flowers after six weeks, we can establish a pattern of growth and calculate the number for the sixth week.
We can see that from week 1 to week 2, the blooms doubled (88 x 2 = 176). If this pattern continues, the blooms will double each week.
Let's calculate the number of blooms for each week up to six weeks:
Week 1: 88 flowers
Week 2: 176 flowers (88 x 2)
Week 3: 352 flowers (176 x 2)
Week 4: 704 flowers (352 x 2)
Week 5: 1408 flowers (704 x 2)
Week 6: 2816 flowers (1408 x 2)
2. A researcher collected data about the favorite car color of a particular population. He asked 250 people about their favorite vehicle color and the survey revealed the following: 32% of people said blue, 24% of people said white, 20% of people said red, 18% of people said black, and 4% of people said silver.
(a) How many people said their favorite vehicle color was red? Explain.
(b) How many more people said their favorite vehicle color was blue compared to those who said white? Explain.
(c) How many people said their favorite vehicle color was either black or silver? Explain.
Answer:
Answer:
(a) 55 (b) 80 and 60 (c) 45 and 10
Step-by-step explanation:
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find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches
A survey of patients at a hospital classified them by sex and blood type, as shown in the table. What percent of all patients are male?[Round the answer to the nearest tenth of a percent. PLS HURRY LOTS OF POINTS NO GUESSING BRAINLIEST TO!!!!
A) 47.0%
B) 47.8%
C) 53.1%
D) 54.1%
Blood Type Male Female
A 105 93
B 99 84
O 160 140
AB 15 18
Answer:
if you want to know how many males, you have to add all the numbers up :
105 + 93 + 99 + 84 + 160 + 140 + 15 + 18 = 714
and then you divide 714 by all the male numbers 105 + 99 + 160 + 15 = 379
714/379 = 53.08 %
~batmans wife dun dun dun....
Which of these is a symptom of nicotine?
A) Slowed heartbeat
B) Decreased blood pressure
C) Increase oxygen supply to the brain
D) Increase dizziness
A known symptom of nicotine is that it leads to a person having B. Decreased blood pressure
Nicotine is available in cigarettes and is responsible for the addiction that people feel to cigarettes. It has various health effects such as:
Causing loss of appetite Increasing one's risk of brain damage and heart attacks.As a result of it causing a loss of appetite, the person will lose weight and will be unable to produce much blood which would lead to reduced blood pressure.
In conclusion, nicotine can lead to decreased blood pressure.
Find out more at https://brainly.com/question/11174442.
What’s the height of the brace
SOMEONE EXPLAIN HOW TO DO THIS???
math class has 6 girls and 2 boys in the seventh grade and 3 girls and five boys in the right grade. the teacher randomly selects a 7th and a 8th grader. What is the probability that the student she selects are both girls
To find the probability of selecting two girls, multiply the probability of selecting a girl from the 7th grade class by the probability of selecting a girl from the 8th grade class.
Explanation:To find the probability that the teacher selects two girls, we need to determine the probability of selecting a girl from the 7th grade class and the probability of selecting a girl from the 8th grade class, and then multiply those probabilities together.
Probability of selecting a girl from the 7th grade class = Number of girls in 7th grade class / Total number of students in 7th grade class = 6 / (6+2) = 6/8 = 3/4 = 0.75
Probability of selecting a girl from the 8th grade class = Number of girls in 8th grade class / Total number of students in 8th grade class = 3 / (3+5) = 3/8 = 0.375
Probability of selecting two girls = Probability of selecting a girl from 7th grade class * Probability of selecting a girl from 8th grade class = 0.75 * 0.375 = 0.28125
Final answer:
The probability of selecting two girls, one from each grade, is 9/32.
Explanation:
The probability of selecting a girl from the seventh-grade class is 6/8, since there are 6 girls out of 8 total students. Similarly, the probability of selecting a girl from the eighth-grade class is 3/8. Since the two events are independent of each other, we can multiply the probabilities to find the probability of selecting a girl from both grades.
So, the probability of selecting a girl from the seventh grade AND a girl from the eighth grade is (6/8) * (3/8) = 18/64 = 9/32.
Therefore, the probability that the teacher selects two girls is 9/32.
Which modified box plot represents the data set?
10,12,2,4,24,2,7,7,9
Answer with explanation:
The Data Set is→ 10,12,2,4,24,2,7,7,9
Arranging the data in ascending order
2,2,4, 7,7,9,10, 12, 24
Number of observation is odd,
So, Median
[tex]\frac{9+1}{2}=5^{th} Observation[/tex]
5th Observation = 7
[tex]Q_{1}[/tex]
=First Quartile of data set that is from first variate to Median value
={2,2,4,7,7}
So, [tex]Q_{1}=4[/tex]
[tex]Q_{3}[/tex]
=Third Quartile of data set that is from last variate to Median value
={7,9,10,12,24}
So, [tex]Q_{3}=10[/tex]
Minimum value in data set = 2
Maximum value in data set = 24
Plotting the Box plot
Option C , is correct Box plot.
Answer: The answer is C
Step-by-step explanation:
The stem-and-leaf plot lists the number of times different families visit the local zoo each year.
How many families visit the zoo at least 25 times, but fewer than 44 times each year?
Enter your answer in the box.
Answer:
4
Step-by-step explanation:
its 4 just do 4 just do it like nike
Write the equation of a cosine function with the following properties
NEED HELP!!!!!!
For the following geometric sequence find the recursive formula and the 6th term in the sequence.
{36, 12, 4, ...}
The 6th term is ( 4 / 27 ) and the recursive formula is q = 1/3.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series.
The 6th term of the series is calculated as:-
1st term = 36
2nd term = 12
3rd term = 4
The recursive formula is,
q = 12/36 = 1/3
The 6th term is,
[tex]a_n = a_1( r )^{n-1}[/tex]
[tex]a_6=36 ( \dfrac{1}{3})^5=\dfrac{4}{27}[/tex]
Therefore, the 6th term is ( 4 / 27 ) and the recursive formula is q = 1/3.
To know more about geometric progression follow
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a cell phone company has a basic monthly plan of $40plus $0.45 for many minutes ised over 700. John was charged a total of $48.10. Write an equation to determine how many minutes he must have used during the month.
Jessie saves $6 each week.In how many weeks will she have saved at least $50
Evaluate 3+11t-9u
t=9
u=11
Answer:
3
Step-by-step explanation:
Let's substitute t = 9 and u = 11 into the expression.
3+11t−9u
=3+11(9)−9(11)
=3+99-99=3+99−99
=3
What is the base 10 representation of the number 1100110
Answer:
102
Step-by-step explanation:
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
how do i approximate each square root to the nearest tenth
Evaluate the expression 53 ÷ (13 − 8) × 2.
Numerical Answers Expected!
Answer for Blank 1:
Answer: 21.2
hope this helped
Penelope made a paper chain that was 6 feet, 10 inches long. Anastasia made a paper chain that as 7 feet, 18 inches. If they linked their paper chains together, what would be the combined length? A) 13 feet, 11 inches b) 15 feet, 4 inches c) 19 feet, o inches d) 37 feet, 4 inches
The answer is B, as they both add up to 15 feet and 4 inches
The slope of a line passing through H (-2, 5) is -3/4. Which ordered pair represents a point on this line?
A (6, -1)
B (2, 8)
C (-5, 1)
D (1, 1)
What is the unit rate of x=y/7
Which relationship describes angles 1 and 2? Select each correct answer.
A. adjacent angles
B. Vertical angles
C. Linear pair
D. Complementary angles
D complementary angles
and
B vertical angles
hope this helps!
What is -5/12 + (-1/4) + 3/12
need help for this problem
plz thxs
A bookcase is to have four shelves, including the top. The height of the bookcase is to be 2 feet more than the width and only 20 feet of lumber is available. Use an equation to determine the width and height of the bookcase.
Answer:
Height and width are 2 feet, 4 feet
Step-by-step explanation:
a worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. THe tiles are square with side lengths 1 1/3 feet. How many tiles are needed to cover the entire floor?
Answer:
102 tiles needed to cover the entire floor.
Step-by-step explanation:
Given : A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles are square with side lengths [tex]1\frac{1}{3}[/tex] feet.
To find : How many tiles are needed to cover the entire floor?
Solution :
A rectangular room that is 12 feet by 15 feet.
The area of the room is [tex]A=L\times B[/tex]
[tex]A_r=15\times 12[/tex]
[tex]A_r=180\ ft^2[/tex]
The tiles are square with side lengths [tex]1\frac{1}{3}=\frac{4}{3}[/tex] feet.
The area of the tile is [tex]A_t=s^2[/tex]
[tex]A_t=(\frac{4}{3})^2[/tex]
[tex]A_t=\frac{16}{9}\ ft^2[/tex]
Number of tiles needed to cover the entire floor is
[tex]n=\frac{A_r}{A_t}[/tex]
[tex]n=\frac{180}{\frac{16}{9}}[/tex]
[tex]n=\frac{180\times 9}{16}[/tex]
[tex]n=101.25[/tex]
Therefore, Approximately 102 tiles needed to cover the entire floor.
By using double inequality describe all the numbers that are:
a) greater than (−8) but less than (−2)
b) less than 0, but greater than (−5)
c) greater than (−3), but less than 3
First one to answer correctly gets brainliest answer
a) Numbers greater than -8 but less than -2 are represented by the double inequality [tex]\(-8 < x < -2\).[/tex]
b) Numbers less than 0 but greater than -5 are represented by the double inequality [tex]\(-5 < x < 0\).[/tex]
c) Numbers greater than -3 but less than 3 are represented by the double inequality [tex]\(-3 < x < 3\).[/tex]
To describe each set of numbers using double inequalities, we'll define the range of numbers that satisfy each condition.
a) For numbers greater than -8 but less than -2:
[tex]\[ -8 < x < -2 \][/tex]
This double inequality represents all numbers that are greater than -8 on the number line and less than -2, but not including -2 itself.
b) For numbers less than 0 but greater than -5:
[tex]\[ -5 < x < 0 \][/tex]
This double inequality represents all numbers that are less than 0 on the number line and greater than -5, but not including 0 itself.
c) For numbers greater than -3 but less than 3:
[tex]\[ -3 < x < 3 \][/tex]
This double inequality represents all numbers that are greater than -3 on the number line and less than 3, but not including 3 itself.
In summary:
a) Numbers greater than -8 but less than -2 are represented by the double inequality [tex]\(-8 < x < -2\).[/tex]
b) Numbers less than 0 but greater than -5 are represented by the double inequality [tex]\(-5 < x < 0\).[/tex]
c) Numbers greater than -3 but less than 3 are represented by the double inequality [tex]\(-3 < x < 3\).[/tex]