Which equation represents a circle with a center point of (-2,3) that passes through the point (4, -3)?
PLEASE HELP ASAP IM GIVING BRAINLIEST
Answers
Answer:
[tex]A) (x+2)^{2} +(y-3)^{2} =72[/tex]
Step-by-step explanation:
[tex]Radius=\sqrt{(4+2)^{2}+(-3-3)^{2} }[/tex]
[tex]=\sqrt{6^{2} +6^{2} } =6\sqrt{2 }[/tex]
[tex]equation:[/tex]
[tex](x+2)^{2}+(y-3)^{2} =(6\sqrt{2}^{2})\\[/tex]
[tex](x+2)^{2}+(y-3)^{2} =72[/tex]
-----------------------------------
hope it helps...
have a great day!!
The equation represents a circle is option (A) (x+2)^2 +(y-3)^2 = 72 is the correct answer.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The center of the circle, (h,k) = (-2,3)
The point on the circle, (x,y) = (4,-3)
The radius of the circle is
[tex]r=\sqrt{(h-x)^{2} +(k-y)^{2} }[/tex]
⇒ [tex]r=\sqrt{(-2-4)^{2} +(3-(-3))^{2} }[/tex]
⇒ [tex]r=\sqrt{6^{2}+6^{2} }[/tex]
⇒ [tex]r=\sqrt{72}[/tex]
The formula of equation of circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
The circle has the center (h,k) = (-2,3) and radius is √72,
⇒ [tex](x-(-2))^{2}+(y-3)^{2}=(\sqrt{72} )^{2}[/tex]
⇒ [tex](x+2)^{2}+(y-3)^{2}=72[/tex]
Hence we can conclude that the equation represents a circle is option (A) [tex](x+2)^{2}+(y-3)^{2}=72[/tex] is the correct answer.
Learn more about circles here
https://brainly.com/question/27421661
#SPJ2
Related Questions
What is 2 units up and 0 to the right from (-4,2).
Answers
Answer:
Step-by-step explanation:
What is 2 units up and 0 to the right from (-4,2).
Answer:
(-4,4)
Step-by-step explanation:
The graph shows the daily sales goal of
a coffee shop. If the employees sell
20 cups of coffee, how many cups of tea
must they sell to meet their goal?
Answers
Answer:
25 cups of tea
Step-by-step explanation:
On the x-axis, we have the number of cups of coffee plotted against the number of cups of tea which are plotted on the y-axis to represent the daily sales goals.
From the graph, when 20 cups of coffee are sold (x = 20), a corresponding sales of 25 cups of tea (y = 25) would be sold as well to meet the sales goal.
Therefore, when employees sell 20 cups of coffee, 25 cups of tea must be sold to meet their goal.
Which figure will result from this net?
Answers
The shape will have bases that are pentagons.
What would be the perimeter??
Answers
Answer:
19.2
Step-by-step explanation:
4.8 x-4 = 19.2 meters
Answer:
19.2
Step-by-step explanation:
4.8 x 4
HELP PLZZ WHAT IS THE ANSWER DON't SEND A FILE PLZ explain step by step I NEED THE ANSWERS TO BOTH QUESTIONS
Answers
Answer:
1= 2,3
2= 6,-2
Step-by-step explanation:
sup real human here,
d starts at 1,3
we move it to the right one to fill x+1 so it would be 2,3
We move it down 6 to fill y-6 so it would not be 2,-3
for 2, it is being moved down 5 and over 5
we see this because the original point is 4,-2 and the new position is -1,3 which would be down 5 over 5 from the original
this would make 1,3 become 6,-2
Answer:
1. plug the point (1, 3) into the expressions: (x+1, y-6)
(1+1, 3-6) = (2, -3)
2. make an expression for the points based on B and B':
B: (4, -2)
B': (-1, 3)
(x-5, y+5) because 4 - 5 = -1, and -2 + 5 = 3
plug in A (1,3):
(1 - 5, 3 + 5) = (-4, 8)
i need help asapppppppppppppp
Answers
Find the area of the circle. Use 3.14 for fi *
Diameter: 24 cm
Area:
Answers
Circle Area = pi × ( radius )^2
_________________________________
pi = 3.14
..&..
radius = diameter / 2 = 24 / 2 = 12
Thus :
Area = 3.14 × ( 12 )^2
Area = 3.14 × 144
Area = 452.16 cm^2
Answer:
Hey Love! Answer: 452.16
Step-by-step explanation:
When trying to determine area of a circle remember the formula is just pi multiplied by the radius squared
Thats just a fancy way of saying the radius x the radius x pi but REMEMBER since we dont have the radius in this problem we have to figure it out but remember that the radius is only half the diameter so our diameter is 24cm now lets divide that by 2 and we get 12cm now lets multiply that by itself so radius x radius which our radius is 12 so 12 x 12 = 144 now all we have to do is multiply that by pi so
3.14 × 144 = 452.16
HOPE THIS HELPS!
What is the area of this figure? Write your answer using decimals, if necessary.
Answers
Answer:
19 x 11 = 209
4 x 3 = 12
7 x 5 = 35
35 + 12 + 209 = 256
check the point at (11,2) is a solution of the system shown below.
(ignore the question on the bottom)
Answers
Answer: I think the answer is the bottom " the solution
only work on the bottom equation"
Step-by-step explanation:
Simplify: √54 + √486 + √24
Answers
Answer:
14√6.
Step-by-step explanation:
√54 = √9√6 = 3√6
√486 = √81 √6 = 9√6.
√24 = √4√6 = 2√6.
So √54 + √486 + √24
= 3√6 + 9√6 + 2√6
= 14√6.
Decide if the expressions are equivalent. 2.5x and x+5
Answers
Calculate the curved surface area of a cylindrical container 10cm diameter, length 18cm take the value of pie to 3.14
Answers
Answer:
56.52 cm^2
Step-by-step explanation:
curved surface area = 2πrh
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
10 / 2 = 5
2 x 3.14 x5 x 18 = 56.52 cm^2
what is 6/7 of2/3? pls help
\
Answers
Answer:
4/7
Step-by-step explanation:
PLEASE HELP THIS IS MY EXAM! Point M is the midpoint of overline PQ. The coordinates of point M are (2, 4) . The coordinates of point Q are (12, 10) . What are the coordinates of point P?
Answers
Answer:The coordinates of point P are -8, -4.
Step-by-step explanation:
Answer:
The coordinate of P is -8, -4
Step-by-step explanation:
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answers
Answer:
The gradient is m=1/3
Step-by-step explanation:
The gradient, known as the slope, is the rate of change, defined as the change in y divided by the change in x. In this case, we will select two points from the line and calculate the slope from there. I selected (0,3) and (3,4) to demonstrate:
Slope=m=(y2-y1)/(x2-x1)=(4-3)/(3-0)=1/3
Therefore, the gradient/slope is 1/3.
URGENT!!HURRY!!PLS!!
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{}[/tex]A ^ 2 + B ^2 = C ^2 for hypotenuse
20^2 + 5^2 = C
400+25 = 425
[tex]\sqrt{425}[/tex] = 20.61
20.61 is hypotenuse.
X = 180 - 20.61 = 159.39
Hope that helps
The radius of a circle is 7 cm . Find its circumference in terms of pi?
Answers
The radius of a circle is 7 cm. Find its circumference in terms of π.
Solution:-Radius (r) of a circle = 7 cm. (Given)
We know,
[tex] \dag [/tex] Circumference of a circle is 2πr.
So, its circumference is 2 × π × 7
Its circumference is 14π cm.
Its circumference in terms of π is 14π cm. [Answer]Answer:
Radius (r) of a circle = 7 cm. (Given)
We know,
Circumference of a circle is 2πr.
So, its circumference is 2 × π × 7
Its circumference is 14π cm.
Its circumference in terms of π is 14π cm.
Las longitudes de dos lados de un octágono regular están representadas por las expresiones 2x + 4 y 3x-8. Encuentra la longitud de un lado del octágono
Answers
Answer:
La longitud del lado del octágono es de 28 unidades.
Step-by-step explanation:
Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:
[tex]2\cdot x + 4 = 3\cdot x - 8[/tex] (1)
A continuación, despejamos [tex]x[/tex] en (1):
[tex]3\cdot x - 2\cdot x = 4 + 8[/tex]
[tex]x = 12[/tex]
Ahora, determinamos la longitud del lado del octágono: ([tex]x = 12[/tex])
[tex]l = 2\cdot x + 4[/tex]
[tex]l = 28[/tex]
La longitud del lado del octágono es de 28 unidades.
Find an equation of the line with a slope of −7 that passes through the point (−3,12).
Answers
Answer:
[tex]\boxed {\boxed {\sf y=-7x-9}}[/tex]
Step-by-step explanation:
Since we are given a point and the slope, we should use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
where (x₁, y₁) is the point the line passes through and m is the slope.
We know the line passes through the point (-3, 12) and the slope is -7. Therefore,
x₁= -3 y₁= 12 m= -7Substitute the values into the formula.
[tex]y-12=-7(x--3)[/tex]
Remember that 2 back to back negative signs become a positive.
[tex]y-12=-7(x+3)[/tex]
Now we have to put the equation in slope-intercept form, or y=mx+b. Therefore, we need to isolate the variable y on one side of the equation.
First, distribute the -7. Multiply each term inside the parentheses by -7.
[tex]y-12=(-7*x)+ (-7*3) \\y-12= (-7x)+(-21) \\y-12= -7x-21[/tex]
12 is being subtracted from y. The inverse operation of subtraction is addition. Add 12 to both sides of the equation.
[tex]y-12+12=-7x-21+12\\y= -7x-21+12\\y=-7x-9[/tex]
The equation of the line is y=-7x-9
How do I find angle Y
Answers
Plsss i need help boys and girls lol FRL :)
Answers
100(x-3) = 1,000
What’s the value of x?
Answers
Answer:
x=13
Step-by-step explanation:
100(x-3)=1000, divide both sides by 100
100/100(x-3)=1000/100
x-3=10, add three to both sides
x-3+3=10+3
x=13
Please help !!!!!!!!!
Answers
Answer: (4,-4)
Step-by-step explanation:
(4,-4) because you have to go to the very top of the point ans the point equals (4,-4) sorry im not very good at explaining
Fund the equation of the line that passes through the points (1,2) and (3,12).
Give your answer in the form
y=mx+c
Some use y=mx+b
Answers
Answer:
y=5x-3
Step-by-step explanation:
slope is 5, plug in (1,2) for x and y to find b
an energy drink company claims that it’s produced inscreases students memory levels. to support its claims, the company issues advertisements claiming that 8 out of 10 people (chosen randomly from across the country) who tried their product reported improved memory. the missing component in this study is a
Answers
Boba all the way, it is delicious and I can't live without it
Solve for X
A) 13
B) 5
C) 14
D) 1
Answers
Answer:
B) 5
Circle is 360 degr. So (21x+9) +(23x-5) +(26x+6)=360
Combine like terms 70x+10=360
Additive inverse -10 from both sides, 70x= 350
Divide both side by 70 division Property of Equality x=5.
Check your answer by substituting 5 back into original solution!
Step-by-step explanation:
Help plz is 1-8 right??!!!
Answers
Answer:
yes
Step-by-step explanation:
since its more than 90 dgree
Answer:
mhm!! ur right < 3
Step-by-step explanation:
The table shown below represents a function. Which of the following values could not be used to complete the table?
x
у
-10
-25
-5
5
10
15
20
-20
0-15
0-5
Answers
Answer:
-15
Step-by-step explanation:
100 precent hshssjjdjddjdjdjdjdjdj
what is the area of the given figure in square centimeters? 15 3/4 21 3/8 27 39 3/8
Answers
Answer: 21.375 cm2
Step-by-step explanation:
Area of rectangle = length x width = 3.5 x 4.4 = 15.75 cm2
Area of triangle = 1/2 x base x height = 1/2 x 2.5 x 4.5 = 5.625 cm2
Add rectangle and triangle area = 21.375 cm2
Answer:
21 /3/8 cm^2.
Step-by-step explanation:
Area = area of rectangle + area of the triangle
= 3 1/2 * 4 1/2 + 1/2 * 4 1/2 * 2 1/2
= 7/2 * 9/2 + 1/2 * 9/2 * 5/2
= 63/4 + 45/8
= 126/8 + 45/8
= 171/8
= 21 /3/8 cm^2.
An apple has a mass of 0.25 kg. The apple is 3m high. What is the potential energy of the apple?
Answers
Answer:
Potential energy= mass x gravity x height
0.25x9.8x3=7.35 N
hope that answers your question
Step-by-step explanation: