What is the equation of a circle with center (8, 4) and radius 7?
The standard form of the equation of a circle is given by (x-h)² + (y-k)² = r², where (h, k) are the center and r is the radius. For a circle with center at (8, 4) and radius 7, the equation of the circle becomes (x - 8)² + (y - 4)² = 49.
Explanation:The equation of a circle in standard form is given by (x-h)² + (y-k)² = r², where (h, k) are the coordinates of the center of the circle and r is the radius. This formula comes from Pythagorean theorem and how a circle is defined as the locus of points equidistant from a given point (the center).
By substituting the given center and radius into this formula, we can write the equation of the specific circle you're asking about. The center of this circle is (h, k) = (8, 4), and its radius is r = 7. Therefore, the equation of the circle is (x - 8)² + (y - 4)² = 7² or (x - 8)² + (y - 4)² = 49.
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The equation of the circle is (x-8)^2 + (y-4)^2 = 49.
Explanation:The equation of a circle with center (h, k) and radius r is given by the formula:
(x-h)2 + (y-k)2 = r2
In this case, the center is (8, 4) and the radius is 7. So, the equation of the circle is:
(x-8)2 + (y-4)2 = 72
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Sue Baker is given a prescription of MECLIZINE 25MG to be taken three times daily. She was given enough for ten days. She has been given her pills following the six "rights" (right resident, right drug, right dosage, right time, right route, right record/documentation). On the start of day four, how many pills should be in the bottle?
Christopher is analyzing a circle, y^2 + x^2 = 121, and a linear function g(x). Will they intersect?
A. Yes, at the positive x coordinates.
B. Yes, at negative x coordinates.
C. Yes, at the negative and positive x coordinates.
D. No, they will not intersect
Yes, they will intersect at the positive x coordinates.
What is the equation of the circle?The standard equation of a circle is: (x-h)^ 2 + (y-k) ^2 =r ^2 Where (h, k) is the coordinates of the center, and r is the radius of the circle.
Christopher is analyzing a circle, y^2 + x^2 = 121, and a linear function g(x). Will they intersect?
The given equation of the circle is;
[tex]\rm x^2+y^2=121\\\\x^2+y^2=11^2[/tex]
The circle with center at (0,0) and radius r = 11 units and g(x) points (-1,14) (0,12) (1,10).
The linear function is;
[tex]\rm y=mx+b[/tex]
From the graph on drawing all the co-ordinates lies in positive x and y axis.
Hence, they will intersect at the positive x coordinates.
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One of the mutually exclusive results of an activity conditional probability 2. a combination of one or more outcomes independent events 3. a measure of likelihood of a given result event 4. compound events whose outcomes do not affect each other outcome 5. events involving two or more activities compound events 6. probability of one event given that another has occurred probability
From the information given about the probability, the appropriate terms that denotes them will be:
outcome - one of the mutually exclusive results of an activity.probability - a measure of the likelihood of a given result.compound events - events involving two or more activities.event - a combination of one or more outcomes.independent events - compound events whose outcomes do not affect each other.conditional probability - the probability of one event given that another has occurred,ProbabilityIt should be noted that probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur.
The probability of an event occuring is a number between 0 and 1. 0 indicates the impossibility of the event while 1 indicates certainty.
The outcome is one of the mutually exclusive results of an activity.
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Write x2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers.
A.(x − 4)2 = 3
B.(x − 3)2 = 2
C.(x − 2)2 = 1
D.(x − 1)2 = 4
BRAINLIEST!!PLS HELP!
Question 19 Unsaved
Ann office building has the same number and size of office units per floor. If there are 21 units on the first 3 floors, then what is the total number of offices in the 10 story building?
Question 19 options:
7
24
63
70
Which values in this data set are outliers?
119, 65, 68, 78, 74, 85, 120, 86, 78, 65, 35
Select outlier or not outlier to whether the following numbers are outliers.
35
65
119
120
Expand and simplify: (x + 5y) (x − 3y)
A family drove 2,275 miles from Los Angeles to Atlanta in a time span of 35 hours . Calculate their average speed in miles per hour .
The family drove at an average speed of 65 mph from Los Angeles to Atlanta with a span length of 2275 miles
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The equation for average speed is given as:
Average speed = Total distance / total time
Hence:
Average speed = 2275 miles / 35 hour = 65 mph
The family drove at an average speed of 65 mph from Los Angeles to Atlanta
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Mrs. Cantonwine teaches 2 math classes. There are 28 students in 6A and 21 students in 6B. She divided both classes into groups of equal size. How many students are in a group?
What is the focus of the parabola? y=−1/4x^2−x+3
Enter your answer in the boxes.
(__ ,__ )
please help asap 50 pts
I tried plugging in all the answers, and found that C works the best. Hope that helps.
Good luck!
-RxL
Simplify the questions that aren't crossed on the attachment, thank you
Which of the following rates is proportional to $2.50 for 5 cans?
A. $2.00 for 3 cans
B. $4.00 for 7 cans
C. $4.50 for 9 cans
D. $1.50 for 1 can
Answer:
C. $4.50 for 9 cans
Step-by-step explanation:
3 4 (2)t/3 = 9 Round your answer to the nearest hundredth. A) 1.62 B) 3.24 C) 8.26 D) 10.75
Gio is studying the rectangular pyramid below.
He believes the surface area, in square millimeters, can be found by simplifying this expression.
(4.2)(9.6)+1/2(4.2)(6.5)+1/2(9.6)(4.8)
What error is Gio making?
He used the wrong values as the bases of the lateral faces.
He used the wrong expression to represent the area of the base of the pyramid.
He used two different values as the heights of the lateral faces. NOT C
He used an expression for surface area that did not include all the faces.
PLZZ HELP
the answer is A. hope this helps!!!!
The error that Gio is making in finding the surface area of the rectangular pyramid is that He used an expression for surface area that did not include all the faces.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given a rectangular pyramid.
Pyramid consists of one rectangular side and 4 triangular faces of which each pair of triangular faces is identical.
Total surface area of the pyramid is the total surface area of each faces.
Area of rectangular face = (4.2) (9.6)
Area of the triangular faces = [2 × 1/2 × 4.2 × 6.5] + [2 × 1/2 × 9.6 × 4.8]
= (4.2) (6.5) + (9.6) (4.8)
Total area = (4.2) (9.6) + (4.2) (6.5) + (9.6) (4.8)
So his mistake is that he only find the areas of two triangular faces.
Hence the correct option is that He used an expression for surface area that did not include all the faces.
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Ronald and Tim both did their laundry today. Ronald does laundry every 666 days and Tim does laundry every 999 days.
How many days will it be until Ronald and Tim both do laundry on the same day again?
Answer:
18
Step-by-step explanation:
The average of paula's two test scores must be 80 or more for her to get at least a b in the class. she got a 72 on here first test. what grades can she get on the second test to make at least a b in the class
Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.
m<O = 135
(See picture down below)
a) 45
b) 315
c) 270
d) 67.5
Every day for two full weeks (14 days) jimmy records the number of coins in his pocket. he finds that the mean is 27. he decides to remove one sunday's total because it was an outlier. his new mean is 18 coins. how many coins did he have in his pocket on the sunday he removed?
a.18
b.27
c.126
d.144
Answer:
It is D.)144
Step-by-step explanation:
If a map shows the straight line distance between two cities as 3 1/2 centimeters and the map scale shows that 1 centimeteer equals 100 kilometers what would the actual distance be
Answer:
The actual distance between the two cities is 350 kilometers
Step-by-step explanation:
Information given to us to answer the question correctly:
Distance between two cities in the map = 3 1/2 centimeters
Scale of the map: 1 centimeter = 100 kilometers
2. What would the actual distance be?
Let's calculate the actual distance between the two cities, this way:
Actual distance = Distance between two cities in the map * Scale of the map
Replacing with the real values:
Actual distance = 3.5 * 100
Actual distance = 350 kilometers
Write an equation that you can use to solve for x.
Enter your answer in the box.
133 degrees is your answer
A notebook has a perimeter of 36 inches. It’s area is 80 square inches. What are the dimensions of the notebook
__inches by___ inches
Final answer:
To solve for the dimensions of the notebook, we set up equations based on the perimeter and area, then solved the quadratic equation to find that the dimensions are 10 inches by 8 inches.
Explanation:
To find the dimensions of a notebook with a perimeter of 36 inches and an area of 80 square inches, we will use the formulas for the perimeter and area of a rectangle. The perimeter (P) of a rectangle is 2 times the length (l) plus 2 times the width (w), or P = 2l + 2w. The area (A) of a rectangle is length times width, or A = lw.
Given P = 36 and A = 80, we can set up two equations:
2l + 2w = 36l × w = 80First, we simplify the perimeter equation to l + w = 18 by dividing everything by 2. We can then express w in terms of l: w = 18 - l. Now, we substitute w into the area equation: l(18-l) = 80. Expanding this gives us a quadratic equation: l2 - 18l + 80 = 0.
To solve the quadratic equation, we look for factors of 80 that add up to 18. The factors are 10 and 8, meaning the length is 10 inches and the width is 8 inches, since l = 10 and w = 8 satisfy both the area and perimeter equations.
Therefore, the dimensions of the notebook are 10 inches by 8 inches.
Find the derivative of f(x) = negative 10 divided by x at x = -12.
Which of the following choices is the value of cscΘ?
a) 12/15
b) 9/15
c) 15/12
D) 15/9
A box is 10 cm long, 5 cm wide, and 2 cm high. What is the surface area of the box? (S.A. = 2lw + 2lh + 2wh)
Answer:
your answer is 160 cm2
Step-by-step explanation:
ez
A. 3
B. 5
C. 6
D. 10
Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x3 and y = x. (10 points)
Using the mid-point rule with n = 4, we approximate the area bounded by y = x³ and y = x b as 0.2578125.
To approximate the area of the region bounded by y = x³ and y = x using the mid-point rule with n = 4, we follow these steps:
Determine the points of intersection between y = x³ and y = x. Solving x³ = x, we get the points of intersection at x = 0 and x = 1.
Divide the interval [0, 1] into 4 subintervals, each of width Δx = (1 - 0)/4 = 0.25.
Calculate the midpoint of each subinterval: 0.125, 0.375, 0.625, and 0.875.
Evaluate the functions y = x³ and y = x at these midpoints:
At x = 0.125: y = x³ = 0.125³ = 0.001953125 and y = x = 0.125At x = 0.375: y = x³ = 0.375³ = 0.052734375 and y = x = 0.375At x = 0.625: y = x³ = 0.625³ = 0.244140625 and y = x = 0.625At x = 0.875: y = x³ = 0.875³ = 0.669921875 and y = x = 0.875Determine the heights of the rectangles by finding the difference between the values of y:
At x = 0.125: Δy = 0.125 - 0.001953125 = 0.123046875At x = 0.375: Δy = 0.375 - 0.052734375 = 0.322265625At x = 0.625: Δy = 0.625 - 0.244140625 = 0.380859375At x = 0.875: Δy = 0.875 - 0.669921875 = 0.205078125Compute the area of each rectangle (height × width) and then sum them up:
Area at x = 0.125: 0.123046875 × 0.25 = 0.03076171875Area at x = 0.375: 0.322265625 × 0.25 = 0.08056640625Area at x = 0.625: 0.380859375 × 0.25 = 0.09521484375Area at x = 0.875: 0.205078125 × 0.25 = 0.05126953125Add the areas to get the total approximate area:
0.03076171875 + 0.08056640625 + 0.09521484375 + 0.05126953125 ≈ 0.2578125
Therefore, the approximate area of the region bounded by y = x³ and y = x using the mid-point rule with n = 4 is 0.2578125.
brianna deposit $680.00 into savings account that pays a simple interest rate of 1.29% how much will she earn after 3 years
Rovide an appropriate response.4) assume that adults have iq scores that are normally distributed with a mean of 100 and a standard deviation of 15 (as on the wechsler test). find the iq score separating the top 14% from the others. 4)