Answer:
Step-by-step explanation:
6(5+x) = 30 + 6x
1. Distribute the 6 to both the 5 and the x.
7x5x3 = 105
1. Just multiply them together.
28 - 3(2+4)/9 = 26
1. PEMDAS
2. Add inside the parenthesis: 28 - 3 x 6 / 9
3. Multiply: 28 - 18 / 9
4. Divide: 28 - 2
5. Subtract: 26
Answer:
The x intercept is (12,0)
Step-by-step explanation:
1.5x+4.5y=18 Subtract 1.5 x from both sides of the equation
4.5y=-1.5x+18 Divide both sides of the equation by 4.5
4.5y/4.5=-1.5x/4.5+18/4.5
y=-1/3x+4
The slope is -1/3
The y intercept is (0,4)
To find the x intercept, yet y=0 and solve.
1.5x+4.5y=18
1.5x+4.5(0)=18
1.5x=18 Divide both sides of the equation by 1.5
1.5x/1.5=18/1.5
x=12
Center: (-5,-6)
Radius: 39
How to do it
Complete the square for
y
2
+
12
y
y
2
+
12
y
.
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.
There is 36 ways the dice come up, 6 for each dice. thats 8/36 or 2/9. :)
