1/3, because the probability in the cube is 1/6, and there are 2 numbers less than 3. So, 2/6 and simplify 2/6 to 1/3.
Answer:
2nd option
Step-by-step explanation:
Consider the coordinates of T(- 3, 3 ) → T' (3, - 1 )
- 3 → 3 is 6 units right in the positive x-direction
3 → - 1 is 4 units down in the negative y- direction
Then translation rule is
(x, y ) → (x + 6, y - 4 )
Answer:
4 times
Step-by-step explanation:
1. 16 cups in a gallon
2. 16 total cups divided by 4 available cups in water bottle equals 4 times
If the diameter of the garden is 12 ft, then the radius is 6 ft.
The area is then π(6 ft)^2, or 36 ft^2.
Then the area of one of the 8 equal sections of the garden is 36/8 ft^2, or 9/2 ft^2, or 4.5 ft^2.
Explanation:
first find the slope m of the line passing through the
the 2 given points
to calculate the slope m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
1
,
3
)
and
(
x
2
,
y
2
)
=
(
−
5
,
6
)
m
=
6
−
3
−
5
−
1
=
3
−
6
=
−
1
2
given a line with slope m then the slope of a line
perpendicular to it is
∙
x
m
perpendicular
=
−
1
m
hence
m
perpendicular
=
−
1
−
1
2
=
2
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
here
m
=
2
y
=
2
x
+
b
←
is the partial equation
to find b substitute
(
−
2
,
7
)
into the partial equation
7
=
−
4
+
b
⇒
b
=
7
+
4
=
11
y
=
2
x
+
11
←
is the required equation
