Part I: Describe the center and radius of the circle.
The center is at ___.
The radius is __ units.
Part II: Use the equation below to identify the value of each variable for the circle.
Standard Form Equation of a Circle(x - h)2 + (y - v)2 = r2
(h, v) = center
r = radius length
h =__ v =__r =__
Part III: Use Parts I and II to write the standard form equation of the circle.
Answers
Answer:
Center (2,4) , radius=3, h=2 v=4 & r=3
Step-by-step explanation:
Ok so in order to find the center of the circle, use the graph (like you can see that the x is 2,if you count down from 5 to the left. the y is 4,because it's below 5 in the y pole).So the center is (2,4)
Now, in order to find the length of the radius, you need to do the following:
Take the center point (2,4) and the point where the circle ends (2,1) . Because radius is a straight, you can substract the y values of the two points : 4-1=3
As you can see in the equation, the h symbolizes the x of the center point and the v symbolizes the y.The r is the radius that we already found(3)
So it's shouldn't be a problem now to find the equation of the circle,simply replace the values with their numbers:
(x-2)^2 + (y-4)^2 = 9
The center is at (2, 4). The radius is 3 units. The value of h, v, and r are 2, 4, and 3 respectively. The standard equation of the circle is (x - 2)² + (y - 4)² = 9.
How do find the required values?The required value can be found by counting the coordinates from the given graph.
The value of the center and the radius of the circle can be found below:A diagram is provided. We should observe the diagram, we can see that the center of the circle is at (2,4) on the graph.
We can also find that the radius of the circle is 3 units by counting the lines.
The center of the circle is denoted by (h, v) = (2, 4). The radius r is 3 units.
We have found the center and the radius. We can use this to make the standard equation of the circle.
The standard equation of a circle is given by:
(x - h)2 + (y - v)2 = r2
Now substitute the values h, v and, r:
(x - 2)² + (y - 4)² = 9
Therefore, we have found that the center is at (2, 4)and the radius is 3 units. The value of h, v, and r are 2, 4, and 3 respectively. The standard equation of the circle is (x - 2)² + (y - 4)² = 9.
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Related Questions
Which medicinal product is made using animal products?
A. Flu vaccine
O
B. Aspirin
C. Rose oil
O
D. Morphine
SUBM
Answers
Answer:
C. Rose oil
Step-by-step explanation:
Which medicinal product is made using animal products?
A. Flu vaccine
O
B. Aspirin
C. Rose oil
O
D. Morphine
SUBM
Answer:A. Flu vaccine
Step-by-step explanation:
A trapezoid has coordinates of (-5, -3), (-2, 5), (2, 5), and (5, -3). What is the approximate perimeter of the trapezoid?
Round your answer to the nearest whole number (number that is not a decimal).
Answers
Answer:
The approximate perimeter of the trapezoid is 31 units
Step-by-step explanation:
step 1
Plot the trapezoid
Let
A(-5, -3), B(-2, 5), C(2, 5), and D(5, -3)
see the attached figure
step 2
Find the perimeter of trapezoid
we know that
The perimeter of trapezoid is equal to
[tex]P=AB+BC+CD+AD[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Find the distance AB
we have
[tex]A(-5, -3),B(-2, 5)[/tex]
substitute in the formula
[tex]d=\sqrt{(5+3)^{2}+(-2+5)^{2}}[/tex]
[tex]d=\sqrt{(8)^{2}+(3)^{2}}[/tex]
[tex]d_A_B=\sqrt{73}\ units[/tex]
Find the distance BC
we have
[tex]B(-2, 5),C(2, 5)[/tex]
substitute in the formula
[tex]d=\sqrt{(5-5)^{2}+(2+2)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(4)^{2}}[/tex]
[tex]d_B_C=4\ units[/tex]
Find the distance CD
we have
[tex]C(2, 5),D(5, -3)[/tex]
substitute in the formula
[tex]d=\sqrt{(-3-5)^{2}+(5-2)^{2}}[/tex]
[tex]d=\sqrt{(-8)^{2}+(3)^{2}}[/tex]
[tex]d_C_D=\sqrt{73}\ units[/tex]
Find the distance AD
we have
[tex]A(-5, -3),D(5, -3)[/tex]
substitute in the formula
[tex]d=\sqrt{(-3+3)^{2}+(5+5)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(10)^{2}}[/tex]
[tex]d_A_D=10\ units[/tex]
step 3
Find the perimeter
[tex]P=AB+BC+CD+AD[/tex]
substitute the values
[tex]P=\sqrt{73}+4+\sqrt{73}+10[/tex]
[tex]P=31\ units[/tex]
PLEASE HELP!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The top cable is 115.52 feet long
The bottom cable is 110.86 feet long
Step-by-step explanation:
The ground anchor #2, the tower, ground level, and both cables form a figure made of two right triangles as shown in the figure below
We are required to compute L1 and L2 which are the hypotenuses of both triangles from which we have both legs
We'll apply the Pythagoras's theorem. If a and b are the legs of a right triangle and c its hypotenuse, then
[tex]c^2=a^2+b^2[/tex]
For the bottom ground support cable, a=41, b=103
[tex]L2^2=41^2+103^2[/tex]=110.86\ feet
For the top ground support cable, a=41, b=108
[tex]L1^2=41^2+108^2[/tex]=115.52\ feet
The top cable is 115.52 feet long
The bottom cable is 110.86 feet long
PLEASE HELP!I'M NEWW
Answers
Answer:
I think its 90°, since it l00ks like a right angle
Find the slopes of lines AB and CD. Show your work. Line AB goes through points A(3,4) and B(7,7). Line CD goes through points C (0,0) and D (-6,8).
Answers
Slope formula: y2-y1/x2-x1
Line AB:
= 7-4/7-3
= 3/4
Line CD:
= 8-0/-6-0
= 8/-6
= -4\3
______
Best Regards,
Wolfyy :)
Kevin weighed 200 pounds when he started his diet and lost 26 pounds. What percent of his original weight did Kevin lose?
A
8%
B
12%
C
13%
D
16%
Answers
Answer:
C = 13%
Step-by-step explanation:
Which expression is equivalent to 4(7 + 8)?
A) 11+8
B) 11+12
C) 28+12
D) 28+32
Answers
4*7 + 4*8
28+32
Answer:
D) 28+32
Step-by-step explanation:
4(7+8)=4(15)=60
Find the height of the image after it has been scaled by 80% the following number of times. Explain or show your reasoning
Answers
After 3 times, it reduces to 76.8 mm, and after 6 times, it further reduces to approximately 39.3 mm.
To find the height of the image after it has been scaled by 80% multiple times, we can use the formula for scaling:
[tex]\[ \text{New height} = \text{Original height} \times (\text{Scale factor})^{\text{Number of times scaled}} \][/tex]
Given that the original height is 150 mm and the scale factor is 80% (or 0.8), we can calculate:
a. After being scaled 3 times:
[tex]\[ \text{New height} = 150 \times (0.8)^3 = 150 \times 0.512 = 76.8 \, \text{mm} \][/tex]
b. After being scaled 6 times:
[tex]\[ \text{New height} = 150 \times (0.8)^6 = 150 \times 0.262 \approx 39.3 \, \text{mm} \][/tex]
As the image is scaled down by 80% each time, its height decreases significantly with each iteration.
After 3 times, it reduces to 76.8 mm, and after 6 times, it further reduces to approximately 39.3 mm.
These heights fall within the acceptable range for a U.S. passport photo (25-35 mm).
The probable question may be:
The distance from Elena's chin to the top of her head is 150 mm in an image. For a U.S. passport photo, this measurement needs to be between 25 mm and 35 mm. PASSPORT PHOTO 1. Find the height of the image after it has been scaled by 80% the following number of times. Explain or show your reasoning. a. 3 times b. 6 times
8 km + 2300 m +12,000 cm = ?
Answers
Answer:
The result is 10.42 kilometers, or 10,420 meters or 1'042,000 centimeters.
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
8 kilometers plus 2,300 meters plus 12,000 centimeters
2. Let's do the conversions to find the result either in kilometers, meters or even centimeters.
A. In kilometers:
8 kilometers
2,300 meters = 2.3 kilometers
12,000 centimeters = 120 meters = 0.12 kilometers
10.42 kilometers
B. In meters
8 kilometers = 8,000 meters
2,300 meters
12,000 centimeters = 120 meters
10,420 meters
C. In centimeters
8 kilometers = 8,000 meters = 800,000 centimeters
2,300 meters = 230,000 centimeters
12,000 centimeters
1'042,000 centimeters
The final sum is 10,420 meters.
To solve the mathematical problem of adding different units of measurement, we first need to convert everything to the same unit. In this case, let's convert all measurements to meters (m).
Convert 8 kilometers (km) to meters. Since 1 km = 1000 m => 8 km = 8 x 1000 => 8000 m.Convert 2300 meters (m) to meters. This is already in meters, so no conversion is needed and it remains 2300 m.Convert 12,000 centimeters (cm) to meters. Since 1 m = 100 cm, 12,000 cm = 12,000 / 100 = 120 m.Now, add these values together:
8000 m + 2300 m + 120 m = 10,420 meters
PLZZZ HELP ASAP!!!
Two angles are a linear pair. One third of the measure of the first plus 12 is equal to the measure of the second. what are the measures of both angles?
Answers
Answer:
Step-by-step explanation:
Let's angle be x and y
Then......
⅓x+12=y......eqn(I)
Since are linear
x+y=180
y=180-x.....eqn(ii)
Substitute the eqns
You get x=126°
From eqn (iii)
You get y=54°
Those are angles
The measures of both angles are 126° and 54°.
What are Linear Pair of Angles?Linear pair of angles are the pair of angles formed when two lines are intersected at a point forming on a line.
Sum of the measures of angles of linear pair is supplementary.
Given that,
Two angles are a linear pair.
Let x and y be the measures of two angles.
We have,
y = 1/3 x + 12
Sum of the angles is supplementary.
x + y = 180
x + 1/3 x + 12 = 180
4/3 x = 168
x = 126°
y = 180 - 126 = 54°
Hence the angles are 126° and 54°.
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Jose burns 8 calories per minute. Does Jose burn more than 500 calories per hour?
Answers
Answer: No, he burns 480
Step-by-step explanation: you multiply 8 by 60, the amount of minutes in an hour
Does the addition problem show a way to add 27 + 38?
Circle Yes or No for each addition problem.
a. 20 + 7 + 30 + 8 Yes No
b. 20 + 70 + 38 yes no
c. 20 + 30 + 7 + 8 Yes No
d. 50 + 10 + 5 yes no
Answers
Answer:
a. yes
b. no
c. yes
d. yes
Step-by-step explanation:
For a, 27 + 38 can be broken apart. 27 is broken up by adding smaller numbers (20 + 7 = 27) and the same is done with 38 (30 + 8 = 38), so A and C shows a way to add 27 and 38. In C, the numbers are just put into a different order. B is not a way to add 27 and 38, because the sum is different.
27 + 38 = 65, however 20 + 70 + 38 = 128. The addition problem for D is a way to solve for 27 + 38, because it is broken up differently than A and C. They instead added the 20 and 30 together first, then split up 15 (from 8+7) into 10 and 5. So D is a way to solve, because it gets the same answer as 27 and 38 :D
Cory is paid $567.20 biweekly.
What is his annual salary?
O
$6,806.40
$13,612.80
o
$14,747.20
$29,494.40
Answers
Answer:
14,747.20
There are 52 weeks in a year being paid bi-weekly means being paid every other week or 26 times a year. So 567.20 * 26 is 14747.20.
$29,494.40
A fence around the school football field is
1,666 feet long. Seven teams of students
will paint the fence. Each team will paint
an equal length of the fence. What length
of the fence will each team paint?
Answers
Each team will paint 238 ft of the fence.
Step-by-step explanation:
Length of fence = 1666 ft
Number of students teams = 7
Let x be the length covered by each team, therefore,
7x=1666
Dividing both sides by 7;
[tex]\frac{7x}{7}=\frac{1666}{7}\\x=238\ ft[/tex]
Each team will paint 238 ft of the fence.
Keywords: length, division
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√5 • √80
Please answer and show your steps.
Answers
√5 • √80
Combine the two using the product rule for radicals:
√(5 • 80)
Multiply:
√400
Rewrite 400 as 20^2
√20^2
= 20
The answer is 20
5. An $800 deposit for 24
months earned $200 in
interest
Answers
Answer:
The rate of interest applied fro compound interest is 24.5 %
The rate of interest applied simple interest is 37.5 %
Step-by-step explanation:
Given as :
The Principal amount that is deposited = $ 800
The Time period = 24 months = 2 years
The Interest earn = $ 200
Let the rate of interest = R %
So, The Amount = Principal deposited - interest earn
Or, A = $ 800 - $ 200
∴ Amount = $ 600
From compounded method
Amount = Principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm Time}[/tex]
Or, $ 600 = $ 200 × [tex](1+\dfrac{\textrm R}{100})^{\textrm 2}[/tex]
Or, [tex]\frac{600}{200}[/tex] = [tex](1+\dfrac{\textrm R}{100})^{\textrm 2}[/tex]
Or, 3 = [tex](1+\dfrac{\textrm R}{100})^{\textrm 2}[/tex]
Or, [tex]3^{\frac{1}{2}}[/tex] = (1 +[tex]\frac{R}{100}[/tex])
Or, 1.245 = (1 +[tex]\frac{R}{100}[/tex])
or, 1.245 - 1 = [tex]\dfrac{R}{100}[/tex]
or, 0.245 × 100 = R
So, the rate is = 24.5 %
Hence The rate of interest applied fro compound interest is 24.5 % Answer
From Simple Interest method
Simple Interest = [tex]\dfrac{\textrm Principal\times \textrm Rate\times \textrm Time}{100}[/tex]
Or, $ 600 = [tex]\dfrac{\textrm 800\times \textrm R\times \textrm 2}{100}[/tex]
Or, $ 600 × 100 = $ 800 × R × 2
Or, R = [tex]\frac{60000}{1600}[/tex]
∴ R = 37.5 %
So, The rate is 37.5 %
Hence The rate of interest applied simple interest is 37.5 %Answer
5. Suppose you buy a $1999 LCD TV on layaway. If you pay 5% down and make $50 payments
every week, how many weeks will it be before you pay off the TV?
Answers
Answer:
38 Weeks
Step-by-step explanation:
1999$ x .05% = 99.95 Down Payment
Remaining Balance = 1899.05
1899.05$ / 50$ = 37.98100
It would approximately take a total of 38 weeks to pay it off!
Answer: 38 weeks
Step-by-step explanation:
$1999 * 0.05 = $99.95
1999 - 99.95 = 1899.05
1899.05/50 = 37.981
38 weeks
Solve the equation x over 2 =6
Answers
Answer: 12
Step-by-step explanation: To solve this equation, since x is being divided by 2, in order to get x by itself, we need to multiply by 2 on both sides of the equation.
On the left side of the equation, the 2's cancel and we have x and on the right side of the equation, 6 × 2 gives us 12 so we have x = 12 which is the solution for our equation.
To check our solution, we plug 12 in for x in the original equation.
Image provided.
Jina spent $27 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?
Answers
Answer:
45%
Step-by-step explanation:
27/60 = .45
First, divide.
27 / 60 = 0.45
Multiply by 100%.
0.45 * 100% = 45%
______
Jina spent 45% of her total on fruits.
______
Best Regards,
Wolfyy :)
c)
100x5
Simplify radical
Answers
Answer:
500
Step-by-step explanation:
100 X 5 = 5 + 5 + 5 + 5...100 times = 100 + 100 + 100 + 100 + 100 = 500
Answer:
500
Step-by-step explanation:
yes
2. A parking lot holds 40 cars. There are 20 cars in the lot already. Which inequality can be solved to show all the
numbers of cars c that can still park in the lot?
a. 20+C < 40
C. 60
b. 20+C = 40
d. 60 SC
Answers
1. What is the value of (.02)^2?
A. .4
B. .04
C. .004
D. .0004
E. .22
Answers
Answer:
D) 0.0004
Step-by-step explanation:
(0.02)^2=0.02*0.02=0.0004
Consider the equations: y = 2x − 4 and y = x − 2. Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.
Answers
Answer:
The order pair is (2,0)
Step-by-step explanation:
On the picture
Answer:
(2,6)
Step-by-step explanation:
what is the common difference of 31, -169, -369, -569?
Answers
Answer:
31 is a positive number, while -169, -369, and -569 is negative.
Step-by-step explanation:
Negative numbers, are numbers less then 0 and include a negative sign that looks like this "-".
Positive numbers are numbers above 0 and don't include a negative sign.
-169, -369, and -569 is negative because they have a negative symbol and the number is below 0, while 31 is positive because it's above 0 and doesn't include a negative sign.
A rectangular swimming pool is 21 metres
wide and 50 metres long. Calculate the length
of the diagonal to 1 decimal place.
Answers
Answer:
The length of the diagonal measures 54.2 meters
Step-by-step explanation:
Pythagorean theorem,
a² + b² = c²
a = 21
b = 50
c = diagonal
21² + 50² = c²
441 + 2500 = c²
2941 = c²
√2941 = c
54.23098... = c
54.2 = c
The length of the diagonal measures 54.2 meters.
We have given that,
A rectangular swimming pool is 21 meters
wide and 50 meters long.
We have to determine the length of the diagonal.
What is the Pythagorean theorem?a² + b² = c²
a and b are sides of the triangle and c is the hypotenuse
a = 21,
b = 50
c = diagonal
21² + 50² = c²
441 + 2500 = c²
2941 = c²
Taking square root on both side
√2941 = c
54.23098 = c
54.2 = c
Therefore the length of the diagonal measures 54.2 meters.
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5 1⁄5 decimeters = centimeters
Answers
Answer:
[tex]\large\boxed{5\dfrac{1}{5}\ decimeters=52\ centimeters}[/tex]
Step-by-step explanation:
[tex]1\ dm=10\ cm\qquad\text{(1 decimeters = 10 centimeters)}\\\\\text{Therefore}\\\\5\dfrac{1}{5}\ dm=\dfrac{5\cdot5+1}{5}\ dm=\dfrac{26}{5}\ dm=\dfrac{26}{5}\cdot10\ cm=\dfrac{260}{5}\ cm=52\ cm[/tex]
To convert 5 1/5 decimeters to centimeters, you can multiply 5 by 10 and add the result to the centimeters part (1/5).
Explanation:To convert decimeters to centimeters, we need to know that there are 10 centimeters in 1 decimeter. So, to convert 5 1/5 decimeters to centimeters, we can multiply 5 by 10 and add the result to the centimeters part (1/5). Converting 1/5 to centimeters gives us 2 centimeters. Therefore, 5 1/5 decimeters is equal to 51 centimeters.
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Anybody know how to do this?
Answers
Step-by-step explanation:
When a factor appears in both the numerator and denominator, that is a hole in the function.
Therefore, the domain of h(x) is (-∞, 4) (4, ∞).
Which means the range of h(x) is (-∞, 5) (5, ∞).
Graph: desmos.com/calculator/j58gdgugxy
TRANSLATE INTO AN INEQUALITY!!
seven subtracted from c is less than -30
Answers
Answer:
7-c < 30
Step-by-step explanation:
its in your question.
A pilot is traveling at a height of 30,000 feet above ground she looks down at a angle of depression of 6 and spots runway as measured along the ground how many miles away is she from the runway
Answers
Distance between runway and pilot position along the ground is 285430.9336 feet that is 53.9464 miles.
Solution:Given that
Height of position of pilot from the ground = 30000 feet
Angle of depression when he looks down at runway = 6o
Need to measure along the ground, distance between runway and pilot that is horizontal distance between runway and pilot.
Consider the figure attached below
D represents position of runway.
P represents position of pilot.
PG represents height of position of pilot from the ground that means PG = 30000 feet
PH is virtual horizontal line and HPD is angle of depression means ∠ HPD = 6 degree
AS DG and HP are horizontals, so DG is parallel to HP.
=> ∠ HPD =∠ PDG = 6 degree [ Alternate interior angle made by transversal PD of two parallel lines ]
We need to calculate DG
Consider right angles triangle PGD right angles at G
[tex]\text {As } \tan x=\frac{\text { Perpendicular }}{\text { Base }}[/tex]
[tex]\tan \angle \mathrm{PDG}=\frac{\mathrm{PG}}{\mathrm{GD}}[/tex]
[tex]\begin{array}{l}{=>\mathrm{GD}=\frac{\mathrm{PG}}{\tan \angle \mathrm{PDG}}} \\\\ {=>\mathrm{GD}=\frac{30000}{\tan 6^{\circ}}=285430.9336}\end{array}[/tex]
As one foot = 0.000189 miles
[tex]=>285430.9336 \text { feet }=285430.9336 \times 0.000189 \text { miles }=53.9464 \text { miles. }[/tex]
Hence distance between runway and pilot position along the ground is 285430.9336 feet that is 53.9464 miles.
Final answer:
To find the distance to the runway, we can use trigonometry and create a right triangle using the pilot's height and the angle of depression. Using the tangent function, we can solve for the distance. The pilot is approximately 58.47 miles away from the runway.
Explanation:
To find the distance to the runway, we can use trigonometry. The angle of depression of 6 degrees tells us that the runway is below the pilot's line of sight. We can create a right triangle with the pilot's height of 30,000 feet as the opposite side and the distance to the runway as the adjacent side. Using the tangent function, we can solve for the distance:
Tan(6) = Opposite/Adjacent
Tan(6) = 30,000/Adjacent
Adjacent = 30,000/Tan(6)
Using a calculator, we find that the pilot is approximately 308,517 feet away from the runway.
To convert this distance to miles, we divide by 5,280 (since there are 5,280 feet in a mile):
308,517/5,280 ≈ 58.47 miles
Therefore, the pilot is approximately 58.47 miles away from the runway.
a line with a slope of 5/3 passes through the point (10, -5). what is its equation in point slope
Answers
The equation of line in point-slope form with slope 5/3 passing through the point (10-5) is:
[tex]y+5 = \frac{5}{3}(x-10)[/tex]
Step-by-step explanation:
Given
Slope = m = 5/3
Point = (x1,y1) = (10, -5)
Point-slope form is:
[tex]y-y_1 = m(x-x_1)[/tex]
As the slope and point is already given, we only have to put the values in the equation to get the equation of required line:
[tex]y-(-5) = \frac{5}{3}(x-10)\\y+5 = \frac{5}{3}(x-10)[/tex]
Hence,
The equation of line in point-slope form with slope 5/3 passing through the point (10-5) is:
[tex]y+5 = \frac{5}{3}(x-10)[/tex]
Keywords: equation of line, point-slope form
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