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:
y = -x - 1
Step-by-step explanation:
1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. To find the slope given two points, we can use the formula and plug in the corresponding variable.
3. Okay, so the slope is -1x or just -x. This means that the equation looks like this so far: y = -x + b
4. To find b, the y-intercept, we can take the equation of and plug in the values!
5. Now that we have our y-intercept and slope, let's plug in those values and find the equation!
Therefore, the equation of the line is y = -x - 1. I hope this helped you!
I believe it is, 9/5.
Mixed fraction: 1 4/5.
(2c) / (3b)
(2*6) / (3*2) =
12/6 =
2 <===
Answer:
-8
Step-by-step explanation:
First combine like terms:
4x-8=32+9x
-40=5x
-8=x