Answers
Answer:
1. The center is (-5, 6)
The radius is 11
2. The center is (3, -9)
The radius is 6
3. The center of the circle is (-4, -2)
The radius is 3
4. The coordinate of the center of the circle is (2, 2)
The radius of the circle is 4
5. The equation of the circle is (x - 4)² + (y + 3)² = 2²
6. The equation of the circle is (x + 1)² + (x - 10)² = 7²
7. The given point (6, 8) does not lie on the circumference of the circle
8. Yes, the point (√17, 4) lies on the circumference of the circle
9. Please find the attached graph created with the aid of MS Excel
10 Please find the attached graph created with the aid of MS Excel
11. The equation of the circle is (x - a)² + (y - b)² = c²
12. The equation of the circle is x² + y² = 1
Step-by-step explanation:
1. The equation of the circle is (x + 5)² + (y - 6)² = 121
The standard form of the equation of a circle is (x - h)² + (y - k)² = r²
Where;
The center of the circle = (h, k)
The radius of the circle = r
By comparison we have;
h = -5, k = 6, and r = √121 = 11
The center of the circle, (h, k) = (-5, 6)
The radius of the circle, r = 11
2. (x - 3)² + (x + 9)² = 36
Similar to question 1, above, we have by comparison;
h = 3, k = -9, r = √36 = 6
The center of the circle, (h, k) = (3, -9)
The radius of the circle, r = 6
3. From the graph of the circle on the coordinate plane, we have;
The center of the circle = (-4, -2)
The radius of the circle = -1 - (-4) = 3
4. From the graph of the locus of the circle, we have;
The coordinate of the center of the circle, r = (2, 2)
The length of the radius of the circle = The distance from the center to the point (-2, 2)
Therefore, the radius of the circle, r = 2 - (-2) = 4
5. The given radius of the circle, r = 2
The center of the circle, (h, k) = (4, -3)
The equation of a circle in standard form is (x - h)² + (y - k)² = r²
By comparison, we have the equation of the circle given as follows;
(x - 4)² + (y - (-3))² = (x - 4)² + (y + 3)² = 2²
The equation of the circle is (x - 4)² + (y + 3)² = 2²
6. The given radius of the circle, r = 7
The center of the circle, (h, k) = (-1, 10)
The equation of a circle in standard form is (x - h)² + (y - k)² = r²
By comparison, we have the equation of the circle given as follows;
(x - (-1))² + (y - 10)² = (x + 1)² + (y - 10)² = 7²
The equation of the circle is (x + 1)² + (x - 10)² = 7²
7. The given point = (6, 8)
The radius, r = 4
The center of the circle = (3, 5)
The point lies on the circle if the distance. 'd', from the point to the center of the circle = The radius of the circle
∴ d = √((6 - 3)² + (8 - 5)²) = √((3² + 3²) = √(18) = 3·√2
Given that the distance from the point to the center of the circle, d = 3·√2 ≠ 4 = r, the point (6, 8), does not lie on the circumference of the circle
8. The point = (√17, 4)
Radius, r: 9
The center: (0, -4)
The distance from the point to the center of the circle, d = √((√17 - 0)² + (4 - (-4))²) = 9 = r, the radius of the circle
Therefore, given that the distance of the point from the center of the circle = The radius of the circle, the point, (√17, 4), lies on the circumference of the circle
9. The given equation of the circle is (x - 5)² + (y - 1)² = 49
Comparing with the equation of a circle in standard form, we have;
The center of the circle, (h, k) = (5, 1)
The radius of the circle, r = √49 = 7
Please find the attached graph created with the aid of MS Excel
10. The given equation of the circle is x² + (y - 3)² = 25
The center of the circle, (h, k) = (0, 3)
The radius of the circle, r = √25 = 5
Please find the attached graph created with the aid of MS Excel
11. Given that the center of the circle is (a, b) and the radius of the circle is c, the equation of a circle in standard form, (x - h)² + (y - k)² = r², becomes;
(h, k) = (a, b)
r = c
∴ (x - a)² + (y - b)² = c²
12. The diameter of the circle, d = 2 in.
The center of the circle = The origin with coordinates, (0, 0)
Therefore;
The radius of the circle. r = d/2 = 2 in./2 = 1 in.
The center of the circle, (h, k) = (0, 0)
The equation of the circle is therefore;
(x - 0)² + (y - 0)² = 1²
Which gives the equation of the circle as x² + y² = 1.
Related Questions
Please help me!
(I have already asked the same question twice)
Answers
Answer:
[tex]A=2x^2+8x+6\ yards^2[/tex]
Step-by-step explanation:
Step 1, finding the dimensions:
The width of Stacy's room is x, so the length must be 2x. (Her length of the room is two times the width.)
Her sister's room is 2 yards longer and 3 yards wider than Stacy's room. We have:
Length: [tex]2x+2[/tex]
Width: [tex]x+3[/tex]
Great! Let's find the area now.
Step 2, finding the area:
The area of a rectangle is [tex]A=l*w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle. We already know both, so we can plug it in the equation:
[tex]A=(2x+2)(x+3)[/tex]
We can expand and simplify:
[tex]A=2x^2+2x+6x+6\\A=2x^2+8x+6\ yards^2[/tex]
I hope this helps! Let me know if you have any questions :)
A cylinder has a height of 18 feet and a diameter of 38 feet. What is its volume? Use it %
3.14 and round your answer to the nearest hundredth
Answers
Answer: 20,403.72ft3
Step-by-step explanation:Volume formula for cylinder is = 2h
V=Volume
=pi=3.14
r=radius
h=height
Step 1: find the radius.
Diameter=38
so divide 38 by 2
=19
Step 2: Plug in and solve for Volume.
V=3.14x19^2x18
= V=1133.54x18
= V=20,403.72
three slices of mcdonald's pizza have 798 calories kylon ate 6 slices of the same pizza every saturday night for four weeks how many calories would he have consumed over four weeks.
Answers
answer:
20 out of 798
Step-by-step explanation:
6x4=20
A swimming pool has a length of 12 feet, a width of 8 feet, and a depth of 9 feet. What is the volume of the pool in cubic feet?
Answers
Answer:
V=864 cubic feet
Step-by-step explanation:
Volume of a rectangular prism is Length x width x depth
So V=12x8x9
V=864 Cubic feet
Find the missing side. Round to the nearest tenth.
A.7.1
B.5.1
C.5.1
D.6.1
Answers
Answer:
5,1
Step-by-step explanation:
x= tan27⁰ x 10 ≈ 5,1
.....
Answer:
b or c or 5.1
Step-by-step explanation:
The basic trig identity that does not involve the hypotenuse is the Tan(theta).
Tan(theta) = opposite / adjacent. That definition applies only to a right triangle. It has to be modified if the triangle is some other kind.
The opposite side is the one not making up the reference angle (x in this case).
The adjacent side is the one making up the angle that is not the hypotenuse.
opposite side = x
adjacent side = 10
theta = 27 degrees.
Tan(theta) = opposite / adjacent
Tan(27) = x / 10
Tan(27) = 0.5095
0.5095 = x / 10 Multiply by 10
10*0.5095 = x
x = 5.095
It rounds to 5.1
No one except the answer key can know whether to choose b or c.
60 points and brainiest!!!!!! Pls help me
Answers
Answers:
1.) x - 3, x < -3
2.) x - 3, x>3
3.) x - 3, -3 <_ x > 3
4.) 2/5, 3/6
5.) 8, 10
Convert 1/5 to a percentage.
And
Convert 12/100 to a decimal.
Please help.
Answers
Answer:
Step-by-step explanation:
to convert the fraction to percentage just multilpy the fraction will 100%
1/5
1/5*100%
100%/5
20%
12/100
3/25
0.12
or in division decimal point goes to the right side
12 can also be written as 12.00 so move the decimal point 2 unit right which becomes .12 .In this case we should move 2 units right because there it is divides by hundred and there are 2 zeros in number hundred.Remember how many units to move right depends upon the number it is divided with.
1/5 is equal to 20% when expressed as a percentage and 12/100 is equal to 0.12 when expressed as a decimal.
To convert 1/5 to a percentage, we can multiply it by 100.
(1/5) * 100 = 20%
Therefore, 1/5 is equal to 20% when expressed as a percentage.
To convert 12/100 to a decimal, we divide the numerator (12) by the denominator (100).
12 ÷ 100 = 0.12
Therefore, 12/100 is equal to 0.12 when expressed as a decimal.
When converting a fraction to a percentage, we multiply the fraction by 100. In this case, 1/5 is equivalent to 0.2 as a decimal. Multiplying it by 100 gives us 20%, expressing the fraction as a percentage.
When converting a fraction to a decimal, we divide the numerator by the denominator. In the case of 12/100, dividing 12 by 100 gives us the decimal representation of 0.12.
To learn more about conversions click on,
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Help. Ill give u brainlyest
Answers
Answer:
C and E
Step-by-step explanation:
The one on the left in the tens place, is ten times more than the one on the right
Explaniantion
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed.
Which equation gives the volume of the sphere?
V = four-thirds (11) pi
V = two-thirds (11) pi
V = four-thirds (11)
V = two-thirds (11)
Answers
Answer:
A
Step-by-step explanation:
2
А
B
G
30°
F
D
NOTE: Angles not necessarily drawn to scale.
Answers
Answer:
x = 60°
Step-by-step explanation:
∠ CGE = ∠ FGD = 30° ( vertical angles )
∠ CGB = 90° , then
x + 30° = 90° ( subtract 30° from both sides )
x = 60°
find the area for this figure
Answers
Divide figure into one square, and two triangles
Area of square:
2 x 2 = 4 square units
Area of ONE triangle:
1/2 x 2 x 2 = 2 square units
The triangles we have are both sizes, so multiply this by 2:
2 square units x 2 = 4 square units
ADD THE AREA OF SQUARE AND TRIANGLES:
4 square units + 4 square units = 8 square units
Have a nice day
Cassie entered a 5 km race. she ran 3 km. how many meters did Cassie run? Plz help me
Answers
Answer:
3000 Meters?
Step-by-step explanation:
I say the question mark because kilo quite literally just means 1000. If she ran 3 of these sets of Kilometers, that would be 3000.
Answer:
3000 meter hope this helps
40% of Ms smarts class did their homework last night if there are 30 students in the class how many did there homework last night?
Answers
12 students
Step-by-step explanation:
40 % ×30 students = 1200 ÷ 100% =12students
S/9 >12 What’s the answer??????
Answers
Answer and Step-by-step explanation:
To find the answer, we need to get S by itself. To do so, we multiply both sides of the inequality by 9.
S > 108
So, S is greater than 108.
#teamtrees #PAW (Plant And Water)
What is the length of line
segment AB?
Answers
2V2 km
2 km
X
A) 2V5 km
C) 2 km
B) 2V3 km
D) 4 km
HELP PLEASEE
Answers
Answer:
[tex]x=2\sqrt3\ km[/tex]
Step-by-step explanation:
Given that,
The base of a triangle = 2 km
The perpendicular height of the triangle = [tex]2\sqrt{2} \ km[/tex]
We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :
[tex]x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km[/tex]
So, the value of x is equal to [tex]2\sqrt3\ km[/tex].
On a piece of paper, Graph y
Answers
37. Find the area of each square below.
Answers
Answer:
Step-by-step explanation:
a=4 square units
b=9 square units
sqrt (4+9)
(sqrt(13))^2
c= 13 square units
Find mZY.
42-/3
N
Y
O
84
Х
mZY =
Submit
Please help
Answers
Answer:
[tex]m\angle Y=30^{\circ}[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
[tex]\cos Y=\frac{42\sqrt{3}}{84},\\Y=\arccos(\frac{42\sqrt{3}}{84})=\boxed{30^{\circ}}[/tex]
What is the area of the shaded part of the figure below?
Please hurry I need the answer by tomorrow!!!
Answers
Answer:
192 i think
Step-by-step explanation:
Please help me with this question??m
Answers
Answer:
75
Step-by-step explanation:
f(1) = 7
f(n) = 3f(n-1) + 3
So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.
So let's try f(2)
That means that f(2) = 3*f(n-1) + 3
but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.
so f(2) = 3*f(1)+3
f(2) = 3*7 + 3
f(2) = 21 + 3
f(2) = 24
Now do it again. We now know F(2), so we should be able to find f(3)
f(3) = 3*f(3 - 1) + 3
f(3) = 3*f(2) + 3 We know that f(2) = 24
f(3) = 3* 24 + 3
f(3) = 72 + 3
f(3) = 75
What is the percent decrease from 345 to 300 rounded to the nearest percent
Answers
Answer:
-13.04.
Step-by-step explanation:
If a randomly thrown dart hits the board below, what is the probability it will hit the shaded region?
Answers
A number is double of another number. If the difference of the numbers is twenty find the numbers
Answers
Answer:
20 and 40
Step-by-step explanation:
20 doubled is 40
The difference is 20
Hope this helps! :)
Answer:
20,20
(20 x 2) - 20 = 20
Step-by-step explanation:
2x=y
x-y=20
(20 x 2) - 20 = 20
Find the domain of the graphed function. A.x>=0 B. x is all real numbers. C.-9<=x<=5 D.0<=x<=10
Answers
The domain of the function represented by the graph is x ≥ 0
How to determine the domain of the graph?The function is represented by the graph of the function
From the given graph, we have the following observations
The graph is a trigonometric graphThe x values of the graph starts from 0 and increases towards the positive axisThis means that the function has a domain of all set of real values greater than or equal to 0
This is represented as
x ≥ 0
So, the domain is x ≥ 0
Read more about domain at
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Bab isn’t big-brained enough for mafs. Help, please?
Answers
Explanation: An arc is a segment of a curve.
Based on the side lengths given (a, b, and c), which triangles are right triangles?
Answers
Answer:
It's the third option.
Step-by-step explanation:
the answer is b and c
sorry if im wrong
Let’s revisit the situation of making a medical supply drop from a helicopter to survivors of a natural disaster. The crate can withstand an impact of 165 ft/sec. If the helicopter has to make the drop at 450ft, then the height of the crate as a function of time is: h(t) = 450 -16t2. The crate will land 5.3 sec after the drop is initiated. Will the crate and medical supplies survive? Show/explain how you know.
You need to compare the instantaneous rates of change.
Answers
Answer:
When dropped from 450 feet, the crate and medical supplies will not survive the impact
Step-by-step explanation:
The impact that the crate can withstand when dropped = 165 ft,/sec
The function for the height of the crate at 450 ft. = 450 - 16·t²
The time the crate will land after drop = 5.3 sec
Therefore, we have;
Velocity, V(t) = d(h)/dt
∴ v(t) = d(450 - 16·t²)/dt = -32·t
Given that the time the cate lands after drop, t = 5.3 seconds, we have;
The velocity at 5.3 seconds after drop, v(5.3) = -32 × 5.3 = -169.6
The velocity at 5.3 seconds after drop, v(5.3) = 169.6 ft./sec. (downwards)
Therefore, given that the velocity of the crate at 5.3 seconds (169.6 ft./sec.) is higher than the velocity at which the crate can withstand an impact (165 ft./sec.) the crate and medical supplies will not survive.
PLEASE HELP!! Look at photo
Answers
Answer:
Step-by-step explanation:
The ratio would be 36:4. The bigger number is on either side but when it concludes "for" means it's a ratio.
What are all the values of x for which √x-3 is an imaginary number?
Answers
Answer:
x < 3
Step-by-step explanation:
if the value under the square root sign is negative the result is imaginary.