Write the equation of a circle that has a center of (-2, 1)
and a radius 3.
Answers
Answer:
Step-by-step explanation:
(x + 2)^2 + (y -1 )^2 = 3^2
(x + 2)^2 + (y -1)^2 = 9
I have used Desmos to draw this for you. Notice that the center is not (2, -1) but is at -2,1 just as the question requested. The signs are always reversed when the center of a circle must be obtained by squaring the numbers in parenthesis.
Further two points are shown. The one you should pay attention to is (-2,4) which is 3 units away from the center. The other point is also 3 units away, but you have to use the distance formula which you may not be familiar with. If you measure it with a ruler, you will find it is the same distance away from the center as (-2,4) is Since they are equal, they both must represent the length of the radius.
Related Questions
Find the area of this circle and round to the nearest tenth. Help me pls
Answers
Answer:
201 in²
Step-by-step explanation:
area = πr² = (3.14)(8²) = 200.96 in²
Use the recursive formula to answer the question.
a1=20
an=an−1−5
What is the 4th term in the sequence?
Answers
Answer:
5
Step-by-step explanation:
The sum of two numbers is 70. One number is ten more than twice the other number. Find the numbers.
Answers
9514 1404 393
Answer:
20, 50
Step-by-step explanation:
Let x and y represent the two numbers.
x + y = 70 . . . . . . their sum is 70
2x +10 = y . . . . . . one is 10 more than twice the other
Using the second equation to substitute for y in the first equation, we have ...
x + (2x +10) = 70
3x = 60 . . . . . . . . . subtract 10
x = 20 . . . . . . . . . divide by 3
y = 70 -20 = 50 . . . find the other number
The two numbers are 20 and 50.
what shows the equation written in form ax^2+bx+c=0? x^2+6x+8=3
Answers
Answer:
[tex]x^2+6x+5=0[/tex]
Step-by-step explanation:
Hi there!
[tex]ax^2+bx+c=0\\x^2+6x+8=3[/tex]
Subtract 3 from both sides to equate the right side to 0
[tex]x^2+6x+8-3=3-3\\x^2+6x+5=0[/tex]
I hope this helps!
Kaila wants to borrow $175,000 for her mortgage.Timberwolf Bank offers a 15-year mortgage at an APR of 4.5%.
Answers
Answer:
At the end of the mortgage, $ 293,125 will have been paid.
Step-by-step explanation:
Given that Kaila wants to borrow $ 175,000 for her mortgage, and Timberwolf Bank offers a 15-year mortgage at an APR of 4.5%, to determine the amount to be repaid after the end of the mortgage, the following calculation must be performed:
175,000 x (1 + 15 x 4.5 / 100) = X
175,000 x (1 + 67.5 / 100) = X
175,000 x (1 + 0.675) = X
175,000 x 1,675 = X
293.125 = X
Therefore, at the end of the mortgage, $ 293,125 will have been paid.
Five different DVDs cost:
$11.50, $11.00, $17.00, $21.25, $16.00
median =
$16.00
$10.25
$15.35
Answers
Answer:
16
Step-by-step explanation:
mode = the most
mean = ave
median = the no. in between
so arrange those five costs the one in the middle is 16
Answer: 16.00
Arrange you numbers in numerical order. Than your middle number will be you answer.
Use the work below to answer the following questions.
-4+ 7(1-3m)
-4 + 7 - 21m
-4 – 14m
Answers
Answer:
-54
Step-by-step explanation:
3) Bob deposits 15% of \$160 into a savings account, what is the amount of his deposit ?
Answers
Answer:
$24
Step-by-step explanation:
160 * 0.15 = 24
HELP IM TIMED. ILL MARK BRAINLIEST!
Answers
Answer:
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Four subtracted from two times a number is 48. What is the number?
Answers
Answer:
26
Step-by-step explanation:
n*2 - 4 = 48
Select the best answer for the question.
7. There are 250 mL of D5W infusing at 33 gtt/
min on IV tubing calibrated at 10 gtt/mL. What is the
infusion time?
O A. 1 hour and 16 minutes
OB. 1.5 hours
O C. 1 hour
O D. 2 hours
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Answers
Answer:
A. 1 hour and 16 minutes
Step-by-step explanation:
There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL. Calculate the infusion time.
select "No IV pump"
volume = 250 mL
rate = 33 gtt/min
calibration = 10 gtt/mL
Actual formula:
250 /( 33 gtt/min
10x 60)= 1.26 Hours
0.26 x 60 = 16 minutes
So 1.26 Hours = 1 Hour & 16 minutes
hope this will help you
help please i’m not sure what 17, 18, 19, and 20 are
Answers
Answer:
17. 25 [tex]in^2[/tex]
18. 53 [tex]m^2[/tex]
19. 21.6 [tex]cm^2[/tex]
20. 20.8 [tex]km^2[/tex]
Step-by-step explanation:
The area of a parallelogram is simply the base multiplied by the height.
17.
Base = 5 in
Height = 5 in
Area = Base * Height
Area = 5 * 5
Area = 25 [tex]in^2[/tex]
18.
Base = 10 m
Height = 5.3 m
Area = Base * Height
Area = 10 * 5.3
Area = 53 [tex]m^2[/tex]
19.
Base = 5.4 cm
Height = 4 cm
Area = Base * Height
Area = 5.4 * 4
Area = 21.6 [tex]cm^2[/tex]
20.
Base = 5.2 km
Height = 4 km
Area = Base * Height
Area = 5.2 * 4
Area = 20.8 [tex]km^2[/tex]
Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11
Answers
Answer:
(x - 5)² + (y + 13)² = 121
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, - 13 ) and r = 11 , then
(x - 5)² + (y - (- 13))² = 11² , that is
(x - 5)² + (y + 13)² = 121
What is the perimeter, in units, of ΔABC Δ A B C with A(−1,−6) A B(7,−6), and C(3,−3)
Answers
Answer:
the perimeter in unites of abc with 3, -3 is a
Answer:
18 Units
Step-by-step explanation:
According to the calculator
Carly read x minutes and Alvin read for 5/8 more than that. WRITE AN EQUATION that relates the number of minutes Carly read (x) with the number of minutes that Alvin read(y). Use decimals in ur equations
Answers
Answer:
y = 0.625 + x
Step-by-step explanation:
Carly = x
Alvin = y
y = 5/8 + x
5/8 = 0.625
y = 0.625 + x
Plz help!!
Write the equation that represents the graph shown.
Answers
.....................................
⚠️ Urgent PLS HELP !!!
find the value of x.
Answers
Answer:
x = 14.5
Step-by-step explanation:
This is a supplementary angle, meaning the sum of the angles is 180°.
We can find the value of x by combining like terms.
5x - 6 + 7x + 12 = 180.
5x and 7x are alike.
5x + 7x = 12x.
-6 + 12 = 6.
The final equation is 12x + 6 = 180.
We can solve this by subtracting 6 from 180.
180 - 6 = 174.
12x = 174
Lastly, we divide 174 by 12.
174 / 12 = 14.5
Therefore, x is equal to 14.5
Five metal cubes with sides of 18 cm are melted and casted into a spherical ball. Find the volume of the sphere that is formed.
Answers
Answer:
29160cm³
Step-by-step explanation:
(18*18*18) *5 = 29160
HELP PLEASE EDCITE !!!!
Answers
Answer:
between 30 and 60
Step-by-step explanation:
The larger of two numbers is 12 more than the smaller number the sum of the number is 26 find the numbers
Answers
Answer:
7 and 19
Step-by-step explanation:
x—smaller number
x+12—larger number
x+x+12=26
2x=26-12
2x=14
x=7
x+12=7+12=19
4. Calcula la rapidez promedio de un perro que
recorre una distancia de 20 metros en 4
segundos.
Answers
Answer:
5 m/s
Step-by-step explanation:
At the zoo, the length of each iguana is measured. Which statement is best supported by the information below?
A. Over half of the iguanas measure 14 centimeters or more in length.
B. 25% of the iguanas measure 12 centimeters in length.
C. The number of iguanas that measure 15 centimeters or more is equal to the number that measure 11 centimeters or less.
Answers
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 times
The last problem is correct as it is green. The
First 2 are wrong. Help??
Answers
Answer:
Square root of 72 is 8.48.
Square root of 90 is 9.48
Square root of 90 is 9.48
algebra:
simplify
4y-6(5z-2y)-2z
Answers
Answer:
16y−32z
Step-by-step explanation:
:D
Answer:
16y−32z
Step-by-step explanation:
multiply the like terms
subtract and add like terms
Suppose that there is a black urn containing nine black balls and three yellow balls and there is a yellow urn containing six black balls and six yellow balls. An experiment consists of selecting at random a ball from the black urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball.
1. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and write that number at the end of the path (4 answers).
2. Find the probability that the second ball is yellow.
Answers
Answer:
See Annex ( Tree diagram )
Step-by-step explanation:
1) Attached
2) Probability of the second ball is yellow is
P(2nd ball is yellow ) = Probability 2nd ball s yellow (if the first one was black) + Probability 2nd ball s yellow (if the first one was Yellow)
P(2nd ball is yellow ) = 0,204 + 0,045
P(2nd ball is yellow ) = 0,249
If a 2:1 transformer has 220 vac input a voltage test at the primary winding should produce a meter reading of
Answers
Answer:
an awnser is an inut example of salt or sugar so it should be around 450 volts
Step-by-step explanation:
thats its capacity
What are the coordinates for the vertex of the parabola represented by the quadratic equation
y=1/2(x + 4)^2 – 2?
Answers
Answer:
(-4, -2).
Step-by-step explanation:
Compare y = (1/2)(x + 4)^2 – 2 to the standard equation:
y = a(x - h)^2 + k whose vertex is at (h, k).
We see that h = -4 and k = -2. Thus, the vertex of the vertex of the given parabola are (-4, -2).
Factorise fully:
8p2 – 12pc
(2)
Answers
Answer:
so im unsure if the (2) is in the equation so i have two answers
(with 2) 8p (−3c+p)
(without 2) 4p(−3c+2p)
Step-by-step explanation:
(with 2)
Factor 8p2−12pc(2)
−24cp+8p2
=8p(−3c+p)
answer 1: =8p(−3c+p)
(without 2)
Factor 8p2−12pc
−12cp+8p2
=4p(−3c+2p)
answer 2: =4p(−3c+2p)
Lylreice deposited $1,500 into a savings account, which earns 7% interest compounded annually. What will be the balance in his account after 5 years?
Account Balance =
Answers
Sine rule for a triangle states that
Answers
Answer:the law of sines is the relationship between the sides and angles of the ratio of the length of a side of triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle
Step-by-step explanation: