What is the equation of a circle whose center is at (2,-4) and has a radius of 5 units?
Answers
Answer:
[tex](x - 2)^2 + (y +4)^2 = 25[/tex]
Step-by-step explanation:
Given
[tex](h,k) = (2,-4)[/tex] --- center
[tex]r = 5[/tex] --- radius
Required
Determine the equation
The equation of the circle is:
[tex](x -h)^2 + (y - k)^2 = r^2[/tex]
From the given parameters, we have:
[tex]h = 2[/tex]
[tex]k = -4[/tex]
[tex]r = 5[/tex]
So:
[tex](x -h)^2 + (y - k)^2 = r^2[/tex]
[tex](x - 2)^2 + (y --4)^2 = 5^2[/tex]
Express -- as +
[tex](x - 2)^2 + (y +4)^2 = 5^2[/tex]
Evaluate the squares
[tex](x - 2)^2 + (y +4)^2 = 25[/tex]
Related Questions
How can I find f?
Please help if you can!
Answers
63 is the answer
Answer:
63°
Step-by-step explanation:
i=62° f+i=125° 125-62=63
HELP ASAP
if dy/dx = 2 - y, and if y = 1 when x = 1, then y = ??? PHOTO ATTACHED
Answers
Answer:
y=2-e^(1-x)
Step-by-step explanation:
This can be solved by separating the variables.
dy/dx=2-y
Multiply both sides by dx
Divide 2-y on both sides
dy/(2-y)=dx
Integrate both sides
-ln|2-y|=x+c
Multiply both sides by -1
ln|2-y|=-x-c
Equivalent logarithm form
2-y=e^(-x-c)
Minus 2 on both sides
-y=e^(-x-c)-2
Multiply both sides by -1
y=-e^(-x-c)+2
The ordered pair (1,1) belongs to the curve so we have
(I'm going to use this earlier form -ln|2-y|=x+c)
-ln|2-1|=1+c
-ln|1|=1+c
-0=1+c
0=1+c
Minus 1 on both sides
-1=c
Answer:
y=-e^(-x-(-1))+2
Or
y=-e^(-x+1)+2
Or
y=2-e^(1-x)
Angles of Elevation and Depression
Acellus
Find the distance from point B to point C.
Enter as a decimal rounded to the nearest tenth.
58
6 mi
B
с
BC = [?] mi
Enter
Answers
Answer:
Distance between B and C is 9.6 miles.
Step-by-step explanation:
By applying tangent rule in the given right triangle ABC,
tan(58°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{BC}{6}[/tex]
1.60 = [tex]\frac{BC}{6}[/tex]
BC = 9.6 mi
Therefore, Distance between B and C is 9.6 miles.
Answer: 9.6
Step-by-step explanation:
Ron has 10 marbles that are the same size and
shape in a bag. Of these, 4 are blue and 6 are
green. He selects 2 marbles, one after the other,
and DOES NOT REPLACE the first marble. What is
the probability that he will select 2 green marbles?
Answers
Answer:
??
Step-by-step explanation:
a country has a national debt of $6x10^12. if the population of the country is 300 million people, how much will it be for every man, women, and child in the country?
Answers
Answer:
$20000
Step-by-step explanation:
6*10^12/ 300 million
a chain that measures 5 feet long is divided into 3 equal parts
Answers
The total length of each part is 5/3ft.
escribe en forma de potencia y encuentra el valor
((-9)²)³
Answers
Answer:
Step-by-step explanation:
Answer:
531441
Step-by-step explanation:
using multiplicative law of indices
2 by 3 Is 6
so, -9⁶=531441
Martin buys a car for $15,000. The value of the car depreciates by 7% each year. What is the value of his car 5 years after he purchased it? Round to the nearest dollar. Help asap
Answers
Answer:
I think the answer would be 2,140
Based on the scatter plot above, describe the relationship between the moves and the score of the Solitaire game.
Answers
Answer:
The moves and score have an inverse linear relationship. The more moves the person makes, the lower their score. The less moves the person makes, the lower their score.
Step-by-step explanation:
How do I answer this and I need explanation pls
Answers
Answer:
65 degrees
Step-by-step explanation:
1) Find the value of x
The sum of all the interior angles of a triangle is always 180 degrees. Knowing this, we can construct the following equation:
[tex](2x-5)+(115-x)+x=180[/tex]
Open up the parentheses
[tex]2x-5+115-x+x=180[/tex]
The two x's cancel out
[tex]2x-5+115=180\\2x+110=180[/tex]
Subtract 110 from both sides
[tex]2x+110-110=180-110\\2x=70[/tex]
Divide both sides by 2
[tex]2x/2=70/2\\x=35[/tex]
Therefore, x is equal to 35.
2) Find the value of <C
[tex]C=2x-5[/tex]
Plug 35 into the equation as x
[tex]C=2(35)-5\\C=70-5\\C=65[/tex]
Therefore, the value of angle C is 65 degrees.
I hope this helps!
As part of a study of corporate employees, the director of human resources for PNC, Inc. wants to compare the distance traveled to work by employees at its office in downtown Cincinnati with the distance for those in downtown Pittsburgh. A sample of 40 Pittsburgh employees showed they travel a mean of 370 miles per month. A sample of 35 Cincinnati employees showed they travel a mean of 380 miles per month. Do the Cincinnati employees travel the same distance to work, on average, as the Pittsburgh employees
Answers
Answer:
Both groups of Employees do not travel the same distance to work hence we will reject the Null hypothesis
Step-by-step explanation:
40 Pittsburgh employees mean travel time = 370 miles
35 Cincinnati employees mean travel time = 380 miles
Both groups of Employees do not travel the same distance to work hence we will reject the Null hypothesis
H0 : μ1 = μ2
H1 : μ1 ≠ μ2
mean = total distance / Number of employees
For Pittsburgh
370 = x / 40
x = 370 * 40 = 14,800 miles
For Cincinnati
380 = y / 35
y = 380 * 35 = 13,300 miles
Help extra points and mark brainlist
Answers
Answer:
Median is 7
Step-by-step explanation:
Give me brainllest
The slopes of perpendicular lines are
A. negative reciprocals
B. opposites
C. reciprocals
O D. identical
Is urgent no links
Answers
Answer:
A. Negative reciprocals
Hurry this is due in 8 minutes
A 1/20
B 1
C 10%
Answers
Answer: A, 1/20
Step-by-step explanation: There is only one Ryan of 20 students.
ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE
Answers
Answer:
90mm cubed
Step-by-step explanation:
Answer:
90 mm³
Step-by-step explanation:
V = area of base multiplied by height
base in this example is the triangle, which has an area of 15/2 or 7.5
height = 12
12 x 7.5 = 90
How much lemon juice must be added to 4 litres of water to make a lemonade
solution that contains 20% lemon juice?
Answers
20% of 4 liters is .8 liters.
Solve for x 4(x+9)= 3(2x - 7)
Answers
Answer: X= 57/2
Hope this helps!
Answer:
x = 28.5
Step-by-step explanation:
1. Write the equation
4(x+9) = 3(2x - 7)
2. Distribute
4x + 36 = 6x - 21
3. -4x from both sides
36 = 2x - 21
4. +21 on both sides
57 = 2x
5. Divide 2 on both sides
x = 28.5
In a random sample of 8 residents of the state of Montana, the mean waste recycled per person per day was 3.0 pounds with a standard deviation of 0.23 pounds. Determine the 99% confidence interval for the mean waste recycled per person per day for the population of Montana. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answers
Answer:
at 99%, Confidence interval is ( 2.716, 3.285 )
( 2.716 < μ < 3.285 )
Step-by-step explanation:
Given the data in the question;
sample size n = 8
mean x' = 3.0
standard deviation σ = 0.23
To calculate the confidence interval, we use the following expression;
x' ± [tex]t_{\alpha /2, df[/tex]( σ/√n) ------- let this be equation
now, at 99% confidence interval;
∝ = 1 - 99% = 1 - 0.99 = 0.01
degree of freedom df = n - 1 = 8 - 1 = 7
hence t-critical value = 3.499
in equation 1, we substitute in our values;
⇒ 3.0 ± 3.499( 0.23/√8 )
⇒ 3.0 ± 0.2845
⇒ 3.0 - 0.2845, 3.0 + 0.2845
⇒ ( 2.7155, 3.2845 )
Therefore at 99%, Confidence interval is ( 2.716, 3.285 )
( 2.716 < μ < 3.285 )
HELP MEEEEEEE PLEASE
Answers
Answer:
choice 1) 14m
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write a list of steps that are needed to find the measure of ∠B.
Answers
Step-by-step explanation:
Angle BCA + Angle BCD = 180 (Sum of angles on a straight line)
Angle BCA + 113 = 180
Angle BCA = 180 - 113
= 67
Angle BCA + Angle A + Angle B = 180 (Sum of angles in a triangle)
67 + 72 + Angle B = 180
139 + Angle B = 180
Angle B = 180 - 139
= 41
The measure of ∠B is m∠B = 41°.
What is a Triangle?A polygon which has three sides and three vertices is called as triangle.
The sum of all the angles of the triangle is 180°.
Given:
The sum of the exterior angle and adjacent angle with is 180°.
So, ∠BCD = 180 - 113 = 67°.
The sum of all the angles of the triangle is 180°.
So,
72° + 67° + ∠B = 180°.
∠B = 180° - 139°.
∠B = 41°.
Therefore, ∠B = 41°.
To learn more about the triangle;
https://brainly.com/question/2773823
#SPJ2
You are the coach of the girls’ basketball team at a local middle school. It is the fifth game of the season, the game is tied, and there are only 5 seconds left on the clock. The referee has called a technical foul on the other team. You get to choose any one of your girls to take the shot. Basing your decision only on on their free-throw shooting thus far this season, whom would you pick, Becky or Rachel? Becky has made 8 of 12 free throws. Rachel has made 15 of 20 free throws.
Answers
Answer: Becky I guess
Step-by-step explanation:
I NOW HAVE 690 PTS ALSO PLEASE HELP WITH MY MOST RECENT QUESTION
Answers
Answer:
Okay
Step-by-step explanation:
I'll see if I know the answer
What is the equation for f(x)
Answers
Answer:
it's a black image theres no line
1 point
8. The dot plot below represents the number of dollars in allowance that
students receive each week in Mrs. Jimenez's class. What is the median
amount of allowance?
1...
+
2
+
4
+
12
+
14.
O
6
8
10
16
DOLLARS OF ALLOWANCE EACH WEEK
Answers
Answer:
6
Step-by-step explanation:
i am not sure but i think its right sorry if you get it wrong
I need help with this question plzz
Answers
Answer:
40 miles away from home
To put it in yard would be 82,720
Step-by-step explanation:
what is order of operations and why is it important
Answers
Answer:
PEMDAS
Step-by-step explanation:
The order of operations is the order in which you solve an equation to find the correct answer. This is very important because randomly solving parts of an equation without using the order of operations will result in the wrong answer. The order of operations is PEMDAS which stands for: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Example:
[tex](2*2)^{2}+6/3-1[/tex]
Using PEMDAS to solve this equation we get 17 as our answer. However, if we solve it in order of how it appears we end up with 19/3 or 6.33, which is a very different answer.
Pls help asap help I’ll mark brainleast
Answers
Answer:
C
Step-by-step explanation:
1/2bh is the formula for the area of a triangle
multiply the base and the height
9 x 19 = 171
then multiply by 1/2 or divide by 2
171/2 = 85.5 or 85 1/2
I WILL REWARD BRAINLIEST TO CORRECT ANSWER!!!
Answers
intercepts are determined where points are on the y or x axis and are y = mx + B (it is b)
linear functions and equations can be graphs by y = mx + b or y = mx
Find the equation of the line that passes through the points (3,-4) and (3,
8).
Answers
Answer:
This is not a function, so we can not find the equation of this line.
Step-by-step explanation:
The two points form equation of a line is given by:
[tex]y-y_{1}=m(x-x_{1})[/tex]
Where:
y(1) is the y value of the first pointx(1) is the x value of the first pointm is the slopeThe first point is (3,-4) and the second point is (3,8)
Let's first find the slope. The equation of m is given by:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{8-(-4)}{3-3}[/tex]
Here the slope is not defined, so we can not find the equation of this line, because it is not a function.
I hope it helps you!
Find the sum of the first 36 terms of the following series, to the nearest integer.
13, 19, 25,
Answers
Answer: 15
Step-by-step explanation:
Answer:
i concluded that it's 4248