Answer:
x^2 + (y – 3)^2 = 36
Step-by-step explanation:
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2.
If the center lies on the y-axis, then h = 0: (x - 0)^2 + (y - k)^2 = r^2
If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36
So, among the given equations, your
x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).
The equations that represent circles with a diameter of 12 units and a center on the y-axis are x² + (y - 6)² = 36 and x² + (y + 6)² = 36.
Explanation:The equations that represent circles with a diameter of 12 units and a center on the y-axis are:
x² + (y - 6)² = 36x² + (y + 6)² = 36To determine if an equation represents a circle, we need to check if the equation follows the standard form of a circle equation, which is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. In this case, since the center lies on the y-axis, the x-coordinate of the center is 0, and we only need to consider the y-coordinate.
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If you know the answer comment Please
Answer: D, It is a function because there is only one y value for every x value.
The sum of two-sevenths of a number and 3 is 9. Can you please write out into an equation>~
Answer:
2/7x +3=9
x=21
Step-by-step explanation:
Let the unknown be x.
Take 3 to the other side so: 2/7 multiplied by x= 6
Divide 6 by 2/7 to get the answer;
Therefore x=21
Sub back into equation to check answer.
Answer:
The equation is: 2/7x + 3 = 9
The unknown number is: 21
Step-by-step explanation:
Write as an unknown value (using a variable)
2/7ths of a number = 2/7x
Write as an equation
2/7x + 3 = 9
Subtract 3 from both sides of the equation
2/7x = 6
Divide both sides of the equation by 2/7
x = 21
The equation is: 2/7x + 3 = 9
The unknown number is: 21
Hope this helps :)
Hannah drew a circle with a radius of 30 cm. Jonas drew a circle with a radius of 20 cm.
What is the approximate difference in the areas of their circles?
Answer:
Sky blue
Step-by-step explanation:
30*2 is 60 (diameter)*pi is 188.4
20*2 is 40 (diameter)*pi is 62.8
I got 125.6 but the 1,256 is the closest one to it, (also did you actually post a quizizz on brainly -_- smh)
The correct answer is the difference in the areas of their circles is approximately 1570.80 cm²,
To find the difference in the areas of the two circles, we first need to calculate the area of each circle using the formula [tex]\( A = \pi r^2 \),[/tex] where [tex]\( r \[/tex]) is the radius of the circle and [tex]\( \pi \)[/tex] is approximately 3.14159.
For Hannah's circle with a radius of 30 cm, the area is:
[tex]\[ A_{Hannah} = \pi \times (30 \text{ cm})^2 = \pi \times 900 \text{ cm}^2 \][/tex]
[tex]\[ A_{Hannah} = 3.14159 \times 900 \text{ cm}^2 \][/tex]
[tex]\[ A_{Hannah} \approx 2827.43 \text{ cm}^2 \][/tex]
For Jonas' circle with a radius of 20 cm, the area is:
[tex]\[ A_{Hannah} \approx 2827.43 \text{ cm}^2 \][/tex]
[tex]\[ A_{Jonas} = 3.14159 \times 400 \text{ cm}^2 \][/tex]
[tex]\[ A_{Jonas} \approx 1256.64 \text{ cm}^2 \][/tex]
Now, to find the difference in the areas, we subtract the area of Jonas' circle from the area of Hannah's circle:
[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]
[tex]\[ \text{Difference} \approx 2827.43 \text{ cm}^2 - 1256.64 \text{ cm}^2 \[/tex]]
[tex]\[ \text{Difference} \approx 1570.79 \text{ cm}^2 \][/tex]
However, we can see that the calculated difference is not approximately 314.16 cm². It appears there was a mistake in the calculation. Let's correct the calculation:
[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]
[tex]\[ \text{Difference} = (3.14159 \times 900 \text{ cm}^2) - (3.14159 \times 400 \text{ cm}^2) \][/tex]
[tex]\[ \text{Difference} = 3.14159 \times (900 - 400) \text{ cm}^2 \][/tex]
[tex]\[ \text{Difference} = 3.14159 \times 500 \text{ cm}^2 \][/tex]
[tex]\[ \text{Difference} \approx 1570.7963 \text{ cm}^2 \][/tex]
This is still not the expected difference of approximately 314.16 cm². The correct calculation should be as follows:
For Hannah's circle:
[tex]\[ A_{Hannah} = \pi \times (30 \text{ cm})^2 = \pi \times 900 \text{ cm}^2 \][/tex]
[tex]\[ A_{Hannah} = 3.14159 \times 900 \text{ cm}^2 \][/tex]
[tex]\[ A_{Hannah} \approx 2827.43339 \text{ cm}^2 \][/tex]
For Jonas' circle:
[tex]\[ A_{Jonas} = \pi \times (20 \text{ cm})^2 = \pi \times 400 \text{ cm}^2 \][/tex]
[tex]\[ A_{Jonas} = 3.14159 \times 400 \text{ cm}^2 \][/tex]
[tex]\[ A_{Jonas} \approx 1256.637061 \text{ cm}^2 \][/tex]
Now, the correct difference in the areas is:
[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]
[tex]\[ \text{Difference} \approx 2827.43339 \text{ cm}^2 - 1256.637061 \text{ cm}^2 \][/tex]
[tex]\[ \text{Difference} \approx 1570.796329 \text{ cm}^2 \][/tex]
This result is still not the expected 314.16 cm². It seems there was a misunderstanding in the initial problem statement or in the interpretation of the Python code provided. The correct difference in the areas of the two circles, based on the calculations, is approximately 1570.80 cm², not 314.16 cm².
On a coordinate plane, a circle is centered at (5,5) and a triangle is centered at (-3,5). What is the distance between the centers of the circle and triangle?
The shapes don't really play a role in this story, do they. Both points are on the horizontal line y=5 so the distance between them is the absolute difference of the x coordinates, 5- -3 = 8
Answer: 8
The distance between the centers of the circle and triangle is 8.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
Where (a, b) and (c, d) are the two points.
We have,
The centre of a circle = (5, 5)
The centre of a triangle = (-3, 5)
Consider (a, b) = (5, 5) and (c, d) = (-3, 5)
The distance between the centre of a circle and the centre of the triangle.
= √(-3 - 5)² + (5 - 5)²
= √(64 + 0
= √64
= 8
Thus,
The distance between the centres is 64.
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The present population of a town is 3125. If the population increases
at the rate of 4% every year, then the population in the next two years
will increase to 3380
TRUE
FALSE
Answer:
True
Step-by-step explanation:
Each year, the population of the town increases by a rate of 4%, or 0.04.
In order to find the answer, you need to multiply the population of that year by 1.04. 1.04 is used in order to add the 4% to the overall total.
At the end of the first year, the population is 3250. (3125 x 1.04)
At the end of the second year, the population is 3380. (3250 x 1.04)
What is the sum of the measures of the interior angles of this polygon? A 5-sided figure. 270 degrees 450 degrees 540 degrees 900 degrees
Answer:
540 degrees
Step-by-step explanation:
Answer:
the correct answer is C 540 degrees
Step-by-step explanation:
find the missing angle. x=?
Answer:
Here we can see they are vertically opposite angles so x = 35°
x=35
bcoz they are vertically opposite angles.
As we know vertically opposite angles are equal.
Express 80 as a product of prime numbers
Answer:
2 * 2 * 2 * 2 * 5
Step-by-step explanation:
Answer:
2^4*5 OR 2*2*2*2*5
Step-by-step explanation:
using prime factorization
factors of 80 are 10*8 then factor 8 and 10 and so on until you are left with all prime numbers.
Hope this helps!
NEED HELP PLEASE ASAP!!!!
Answer: The perimeter is 126.
Step-by-step explanation: We are given that XYZ is similar to PQR, and we are given side XY. We divide XY by PQ to find how much XYZ has been dilated, which is by a factor of 6. Knowing this, we multiply side QR by 6 and side PR by 6, which gives us side lengths 30 (XY), 36 (YZ), and 60 (XZ). Adding these up gives us 126 :)
The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length?
Divide the perimeter by 2:
6x + 4 / 2 = 3x+2
This is one length plus one width.
Now subtract the width to find the length:
3x +2 - x-1 = 2x+ 3
Length is 2x+ 3
Answer:
2x+3 or C
edge2021
PLEASE help????????????
Answer:
A:(2m^4n^3)^3(5m^4n^3)^2
Step-by-step explanation:
A code on a student ID card begins with 3 letters and ends with 5 digits. How many different ID codes are possible if…the letters and digits cannot be repeated?
Answer:
The total number of combinations is 2,358,720,000
Step-by-step explanation:
For the letter part of the ID we have 3 letters out of a space of 26 possible letters (a-z), and they can't repeat. For the number part we want to group 5 numbers out of 10 possible algarisms (0-9).So we can make an arrangement for the letters and one for the numbers and multiply them. The arrangment can be done using the following formula:
A(n,k) = (n!)/(n-k)!
Where n is the total number of possibilities and k is the size of the group.
For the letters:
A(26,3) = (26!)/(26-3)! = (26!)/(23!) = (26*25*24*23!)/(23!) = 26*25*24 = 15600
For the numbers:
A(10,5) = (10!)/(10 - 5)! = 10!/5! = (10*9*8*7*6*5!)/(5!) = 10*9*8*7*6*5 = 151200
The total number of combinations is the product of both, so:
combinations = 15600*151200 = 2,358,720,000
ILL MARK THE MOST BRAINLIEST!!!
Given the equation square root of quantity 3x minus 2 end quantity equals 4, solve for x and identify if it is an extraneous solution.
6; solution is extraneous
6; solution is not extraneous
two thirds; solution is extraneous
two thirds; solution is not extraneous
Answer:
6; solution is not extraneous
Step-by-step explanation:
[tex]\sqrt{3x-2} =4[/tex]
[tex](\sqrt{3x-2})^{2} = (4)^2[/tex]
[tex]3x-2= 16[/tex]
[tex]3x = 18[/tex]
[tex]x =6[/tex]
[tex]\sqrt{3(6)-2}=4[/tex]
[tex]\sqrt{18-2}=4[/tex]
[tex]\sqrt{16} =4[/tex]
[tex]4=4[/tex]
6; solution is not extraneous
because 4 is equal to 4, an extraneous answer would be the correct answer given, however when you plug it into the equation it is not equal
9=4t t=? i need help
Answer:
t=2.25
Step-by-step explanation:
You want to find out what t is.
If 4t = 9, the how much is t?
First step is to divide 9 by 4.
When you divide 9 by 4, you find out how much t is.
When you divide 9 by 4, you get 2.25, or 2 1/4
Answer:
2.250
Step-by-step explanation:
-4t+9 = 0
Subtract 9 from both sides of the equation :
-4t = -9
Multiply both sides of the equation by (-1) : 4t = 9
Divide both sides of the equation by 4:
t = 9/4 = 2.250
please hurry solve for c in the diagram in the picture!
Answer:
40
Step-by-step explanation:
The angles are vertical angles so they equal each other.
So 3x=120 divide each side by 3 to get x by itself
So x is 40
Here's the relevant question What is the median of the data set represented by the dot plot?
Enter the answer in the box.
Answer:
5
Step-by-step explanation:
There are 9 points, so the middle value is the 5th term. That makes the median = 5
Answer:
5
Step-by-step explanation:
9 data values
Median position:
(9+1)/2
10/2
5th value is the median
If p- is equal to 0.82, then q - is equal to
A. 0.82
B. 0.50
C. 0.35
D. 0.18
Find the equation of a
line that goes through point (1.2) and
has an undefined slope.
Answer:
x = 1.2 if that is really a decimal point.
x = 1 if there is a comma between 1 and 2
Step-by-step explanation:
An undefined slope means that the graph of the line is vertical.
If there is a comma, the first number is the x value. the second is the y value.
If the line is vertical, it passes through all possible y values. so (1,2) is on that line, also (1,3) , (1,0), (1,100000) etc.
The graphs attached are of x = 1.2 and of an undefined slope passing through point (1,2)
I hope this helps!
a triangle has an area of 16 feet squared and a height of 4 ft. finds its base
Answer:
Base = 8 feet
Step-by-step explanation:
[tex]area \: of \: \triangle = \frac{1}{2} \times base \times height \\ 16 = \frac{1}{2} \times base \times 4 \\ 16 = base \times 2 \\ base = \frac{16}{2} \\ base = 8 \: feet[/tex]
What is the exact area of a circle with a radius of 12 ft
Answer:
The area is approximately 453 ft²
Step-by-step explanation:
Area of a circle = [tex]\pi r^{2}[/tex]
If [tex]\pi[/tex] = 22/7, and r = 12 ft
Area = (22/7)×12²
= 3.143*144
= 452.592 ft²
≈ 453 ft²
LAST PROBABILITY QUESTION!!:
Whoever gets correct, will get marked brainliest!
Answer:
7/21
Step-by-step explanation:
Answer:
1/729
Step-by-step explanation:
Just multiply 3 for the amount of rounds there are (6) so 3^6 is equal to 729
Find the simple interest rate per annum on $22,000, if at the end of 3 years the interest is equal to $6000
Answer:
9.09 %
Step-by-step explanation:
1). 6000 / 3 = 2000 $ interest per year
2). 2000 / 22 000 = 9.09 %
What is the length of segment NQ?
If a great white shark swam 24.9 miles per hour for 8 hours, how far did it swim?
Answer:
199.2 miles
Step-by-step explanation:
Make a proportion
24.9/1=x/8
Cross multiply
x=199.2
So the shark swam 199.2 miles
Hope this helps! :)
What’s the answer???
Answer:
The answer is A, 14 inches.
PLZ HELP
Solve the system of equations.
A) x = 0, y = 3 C) x = 1, y = -2
B) x = 3, y = 0 D) x = -2, y = 1
Answer:
x = 3, y = 0
Step-by-step explanation:
2x - 2y = 6
x - y = 3
x = 3 + y
3(3 + y) + 2y = 9
9 + 3y + 2y = 9
5y = 0
y = 0
x = 3 + 0
x = 3
If a ball rotates 110 degrees in 8 seconds, how many degrees does it rotate in 32 seconds?
The distance d in meters, that a rabbit runs in s seconds is represented by the equation d=11s. What is the
constant of proportionality (unit rate) of d to s?
A 10 m/s
B 11 m/s
C 1/10 m/s
D 1/11 m/s
Answer:
D 1/11 m/s
Step-by-step explanation:
Method 1:
d=11s
the unit is m/s which is d/s
meter is 1 here, and time is 11
so, 1/11 meter per second.
Method 2:
First remove A and C, which is obviously not related
B is obviously too fast for a rabit, and thus the answer is D.
Choose yes or no to tell whether the expression represent a 20% discount off the price of an item that originally cost d dollars
A. 0.8d
B. d - 0.2
C. d - 0.2d
D. 1 - 0.2d
Answer: B. d - 0.2
Step-by-step explanation: 20%= 20/100= 0.2
Which means = d-0.2
Hope this helped.
Answer:
B: d- 0.2
Step-by-step explanation:
Please Help!!
First correct answer + branliest
Evaluate without calculator: 167^2−167·67
Answer: 16700
Step-by-step explanation:
First, we must factor 167^2-167*67
Factoring out 167 gives:
167(167-1*67)
Following Order of Operations, you get 167(167-67) which then gets 167(100)
Then, multiply and get 16700