Graph x2 + y2 = 9. What are its lines of symmetry?
Answers
Equation given in the question represents a circle.
Therefore, there will be infinite lines of symmetry.
Line of symmetry of a figure:
- Line of symmetry of a figure is the line over which half of the figure overlaps the other half.
Given in the question,
- Graph represented by the equation → x² + y² = 9
Equation given in the question is in the form of
Since, general equation of a circle is given by,
Therefore, given equation represents a circle.
By definition, a circle has infinite lines of symmetry passing through the center.
Therefore, given equation will have infinite lines of symmetry.
Learn more about the lines of symmetry here,
Answer:
It has infinitely many line of symmetry. All diameters are line of symmetry.
Step-by-step explanation:
Given: Equation is x² + y² = 9
To find: line of symmetry of given equation
Given equation is the equation of circle.
x² + y² = 9
re write,
(x-0)² + (y-0)² = 3²
by comparing given equation with standard equation of circle ,
(x-h)² + (y-k)² = r²
we get, h = 0 , k = 0 , r = 3
⇒ Centre of circle = ( 0 , 0 ) and radius of circle = 3 unit
Since It is a circle. so it has Infinitely many line of symmetry
Also, All diameters of this circle are line of symmetry for this circle.
Some equation of line of symmetry,
x-axis : y = 0
y-axis : x = 0
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Answer:
x+33
Step-by-step explanation:
add x to 33 and you will get the answer
Answers
Answer/Step-by-step explanation:
Scale factor: 1/4
AC = DF and 10 ÷ 2.5 = 4
10 x 1/4 = 2.5
DE length: 5
AB = DE
20 x 1/4 = 5
BC length: 30
EF = BC
(Because EF is the dilation) 7.5 x 4 = 30
$939.25
b.
$11,614.25
c.
$3,403.53
d.
$2,464.28
Answers
Detailed Solution:
principal was 10,675
interest rate was 4.75% per year compounded annually.
additional $939.25 was paid in service charges.
payment on the principal plus interest is shown below:
pv = 10675
i = .0475/12 = .0039583333... per month.
n = 9 * 12 = 108 months.
fv = 0
pmt = 121.6635... per month
total finance charge would be (108 * 121.6635... + 939.25 - 10675).
that equals to 13139.66 + 939.25 - 10675 = 3403.91
interest rate = 4.75% per year compounded monthly.
additional $939.25 was paid in service charges.
Annuity Payment PV
10,675 * (4.75%/12) ÷ [1 - (1+ 4.75%/12)^-12*9]
10,675 * 0.00396 ÷ [1 - (1.00396)^-108]
42.273 ÷ (1 - 0.655)
42.273 ÷ 0.345 = 122.53
122.53 * 108 = 13,233.24 interest and principal
13,233.24 + 939.25 - 10,675 = 3,497.49
The answer is closer to Choice C. The minimal difference in amount is due to the rounding off of decimal places.
Answers
$20.70
Step-by-step explanation:
15% of 18 is 2.7 so 18 + 2.7 = 20.70