Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answers
- The center of the circle lies on the x-axis
- The radius of the circle is 3 units.
- The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The standard equation of a circle is expressed as:
- Centre is (-g, -f)
- radius = √g²+f²-C
Given a circle whose equation is
Get the centre of the circle
2gx = -2x
2g = -2
g = -1
Similarly, 2fy = 0
f = 0
Centre = (-(-1), 0) = (1, 0)
This shows that the center of the circle lies on the x-axis
r = radius = √g²+f²-C
radius = √1²+0²-(-8)
radius =√9 = 3 units
The radius of the circle is 3 units.
For the circle x² + y² = 9, the radius is expressed as:
r² = 9
r = 3 units
Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Learn more on circles here: brainly.com/question/23226948
Answer:
a, b and e
Step-by-step explanation:
i got it correct on edge
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Which of the following ordered pairs represents the solution to the system given below? x − 4y = 7 5x + 9y = 6
Answers
_________-________
Answer:
The answer is 4
Step-by-step explanation:
10x+24=64
10x=64-24
10x=40
x=40/10
x=4
Answers
The answer in simplified is 4/9 hope this helps
(2) {-1,0,1,2} (4) {-2,-1,0,1,2,3}
Answers
N={0,1,2,3,4,5,...}
(-1,3]={0,1,2,3}⊂N
Answer (1) no negative whole numbers.
Answers
Answer:
-2/3
Step-by-step explanation:
-4x -4x
-4x+12=6y
/6 /6
-2/3+2=y
so the slope is -2/3
hope this helps
Answers
The number of ways the train could be made up are 4,151,347,200.
What is permutation?
A permutation of a set is an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.
Now the given cars are 6 flatcars, 7 boxcars, and 3 livestock cars.
So the total number of cars, n = 6 + 7 + 3
= 16
Now, a train is made up of 9 cars,
Therefore, r = 9
Hence the required number of ways the train could be made is nPr
nPr = n!/(n-r)!
nPr = 16!/(16-9)!
nPr = 16!/7!
nPr = 16*15*14*13*12*11*10*9*8
nPr = 4,151,347,200
Hence,the number of ways the train could be made up are 4,151,347,200.
More about Permutation :
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Answer:
The answer is A on edge
Step-by-step explanation:
Answers
$4=2w
w=$2
Ahmed spent $2+$4=$6
2/3 of the total amount = $6
Total amount =$6x3/2
=$9