Answer: y
=
−
2
3
x
+
2
Explanation:
Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.
Point-Slope Formula:
y
−
y
1
=
m
(
x
−
x
1
)
, where
m
is the slope of the line and
x
1
and
y
1
are x and y coordinates of a given point.
We can summarize the information already given:
m
=
−
2
3
x
1
=
6
y
1
=
−
2
Using this information, we can substitute these values onto the point-slope formula:
y
−
(
−
2
)
=
−
2
3
(
x
−
(
6
)
)
y
+
2
=
−
2
3
(
x
−
6
)
The equation above is the equation of the line in point-slope form. If we wanted to have the equation in
y
=
m
x
+
b
form then we simply solve the equation above for
y
y
+
2
=
−
2
3
x
+
12
3
y
+
2
−
2
=
−
2
3
x
+
12
3
−
2
y
=
−
2
3
x
+
12
3
−
2
(
3
3
)
y
=
−
2
3
x
+
12
3
−
6
3
y
=
−
2
3
x
+
6
3
y
=
−
2
3
x
+
2y
=
−
2
3
x
+
2
Explanation:
Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.
Point-Slope Formula:
y
−
y
1
=
m
(
x
−
x
1
)
, where
m
is the slope of the line and
x
1
and
y
1
are x and y coordinates of a given point.
We can summarize the information already given:
m
=
−
2
3
x
1
=
6
y
1
=
−
2
Using this information, we can substitute these values onto the point-slope formula:
y
−
(
−
2
)
=
−
2
3
(
x
−
(
6
)
)
y
+
2
=
−
2
3
(
x
−
6
)
The equation above is the equation of the line in point-slope form. If we wanted to have the equation in
y
=
m
x
+
b
form then we simply solve the equation above for
y
y
+
2
=
−
2
3
x
+
12
3
y
+
2
−
2
=
−
2
3
x
+
12
3
−
2
y
=
−
2
3
x
+
12
3
−
2
(
3
3
)
y
=
−
2
3
x
+
12
3
−
6
3
y
=
−
2
3
x
+
6
3
y
=
−
2
3
x
+
2
Step-by-step explanation:
Since there are a total of 60 digits, therefore this
means that there are 60 digits on the right and then when we turn left we still
have 60 digits since the lock forms a circle.
There are two ways to do the combination, either turn
left first or turn right first.
Just for calculation, let us assume we turn left first
and assume that the numbers can be repeated.
So if we turn left first, we can see that we have 60
digits to choose from. Then the next step is to turn right, and we see that we
still have 60 digits to choose from. Now the last turn is to turn left again,
and we still have 60 digits to choose from.
Therefore the total combinations would be = 60 * 60 * 60
= 216,000
Since this value is only for turning left first, we
multiply this by 2 since we can also turn right first.
Therefore the total possible combinations are:
possible combinations = 216,000 * 2
possible combinations = 432,000 ways
Answer:
Area of the wall without the doorway = 67.5 - 21 = 46.5
Step-by-step explanation:
i) let length of smaller side of trapezoidal wall, a = 22 feet
ii) let length of longer side of trapezoidal wall, b = 23 feet
iii) height of trapezoidal wall, h = 3 feet
iv) area of trapezoidal wall = = = 22.5 3 = 67.5
v) area of door = 7 3 = 21
vi) Area of the wall without the doorway = 67.5 - 21 = 46.5
YOUR ANSWER IS IN THE ATTACHMENT PLZZ REFER TO THE ATTACHMENT
Answer:
28 minutes
Step-by-step explanation:
Speed = distance / time
Your speed is 1 lawn / 57 minutes. Your friend's speed is 1 lawn / 54 minutes. Working together, your combined speed is:
1/57 + 1/54
So the time it takes working together is:
Speed = distance / time
1/57 + 1/54 = 1 / t
t = 27.7 minutes
Rounded to the nearest whole number, it takes 28 minutes.