Answer:
Explanation:
We must write this equation in the form
(
x
−
a
)
2
+
(
y
−
b
)
2
=
r
2
Where
(
a
,
b
)
are the co ordinates of the center of the circle and the radius is
r
.
So the equation is
x
2
+
y
2
−
10
x
+
6
y
+
18
=
0
Complete the squares so add 25 on both sides of the equation
x
2
+
y
2
−
10
x
+
25
+
6
y
+
18
=
0
+
25
=
(
x
−
5
)
2
+
y
2
+
6
y
+
18
=
0
+
25
Now add 9 on both sides
(
x
−
5
)
2
+
y
2
+
6
y
+
18
+
9
=
0
+
25
+
9
=
(
x
−
5
)
2
+
(
y
+
3
)
2
+
18
=
0
+
25
+
9
This becomes
(
x
−
5
)
2
+
(
y
+
3
)
2
=
16
So we can see that the centre is
(
5
,
−
3
)
and the radius is
√
16
or 4
Answer: A) -9
Step-by-step explanation:
If x = -2
Then 
= 
So, it is -9
900-2*x>500
2x<900-500
2x<400
x<200
Answer:Beth can ride the bus less 200 times
9514 1404 393
Answer:
11.3 units
Step-by-step explanation:
The distance can be found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((6 -(-2))² +(-4-4)²) = √(8² +(-8)²) = √(64·2)
d = 8√2 ≈ 11.3
The distance is approximately 11.3 units.
Answer:
No
Step-by-step explanation:
Find a common denominator, and that is 14. So we convert 1/2 into 7/14 and 2/7 to 4/14, and we see it is not proportional.
