Answer:
Go find out in your lesson
Step-by-step explanation:
DDUUUUUUUH
He would have played the cello for 7 hours and 30 minutes because 4 hours would be 6 hours of the cello and then he only did one more hour so you split 3 in half and that makes it an hour and a half. So the answer is 7 hours 30 minutes
The expression for (t) \Join (t+2) - (t+1) \Join (t+1) is ( + t - 2 ) ( + t - 6 ).
The given operation is \Join such that x Join y = (x+2)(y-3).
We are to apply the \Join operation in the given expression.
t \join (t+2) - (t+1) \Join (t+1) and find its final expression.
Using this operation: x Join y = (x+2)(y-3).
Let's find,
t \join (t+2)
Here,
x = t and y = t + 2
= ( t+2 ) ( t+2 - 3 )
= ( t + 2 ) ( t - 1 )
(t+1) \Join (t+1)
Here,
x = t + 1 and y = t + 1
= ( t + 1 + 2 ) ( t + 1 - 3 )
= ( t + 3 ) ( t - 2 )
t \join (t+2) - (t+1) \Join (t+1)
= ( t + 2 ) ( t - 1 ) - ( t + 3 ) ( t - 2 )
= ( - t + 2t - 2 ) ( - 2t + 3t - 6 )
= ( + t - 2 ) ( + t - 6 )
Thus the expression for (t) \Join (t+2) - (t+1) \Join (t+1) is:
( + t - 2 ) ( + t - 6 )
Learn more about mathematical operation here:
brainly.com/question/27915566
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Answer:
16, 18, 20
Step-by-step explanation:
We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...
√(980/3) ≈ 18.09
The integers are 16, 18, 20.
_____
<em>Check</em>
16^2 +18^2 +20^2 = 256 +324 +400 = 980
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: