Answer:
(3,5)
Step-by-step explanation:
Here we are asked to find the reflection of Point P(-1,5) along the line represented by x=1
Please refer to the image attached with answer.
We have point P (-1,5) , the line x=1 and the Point R which is the reflection of P across x=1
now we can see that P is 2 units towards left of the line x=1. hence its reflection across x=1 will be 2 units away towards right of line. 2 units away , the x coordinate will be 1+2 = 3
Hence the x coordinate is 3 and y coordinate remains the same. Hence the coordinates of R will be (3,5)
Answer:
Cost of Trumpets: $174
Cost of Clarinets: $149
Cost of Violins: $89
Step-by-step explanation:
Got it correct
Answer:
I'm pretty sure it's b or c but I think c
Answer:
1
+6
x
+
12
x
2
+
8x
3
Explanation:
We must use our knowledge of the binomial expansion:
Method 1:
We can use:
(
x
+
1
)
n
=
1
+
n
x
+
n
(
n
−
1
)
2
!
x
2
+
n
(
n
−
1
)
(
n
−
2
)
3
!
x
3
+
...
Substituting
n
=
3
and
x
for
2
x
⇒
(
2
x
+
1
)
3
=
1
+
(
3
⋅
2
x
)
+
3
⋅
2
2
!
⋅
(
2
x
)
2
+
3
⋅
2
⋅
1
3
!
⋅
(
2
x
)
3
=
1
+
6
x
+
12
x
2
+
8
x
3
Method 2:
We can use:
(
A
+
B
)
n
=
A
n
+
(
n
1
)
A
n
−
1
B
1
+
(
n
2
)
A
n
−
2
B
2
+
...
Letting
A
=
2
x
and
B
=
1
for this circumstance:
(
2
x
+
1
)
3
=
(
2
x
)
3
+
(
3
1
)
(
2
x
)
2
(
1
)
+
(
3
2
)
(
2
x
)
1
(
1
)
2
+
(
3
3
)
(
2
x
)
0
(
1
)
3
=
8
x
3
+
12
x
2
+
6
x
+
1
Step-by-step explanation:
Answer:
So it by its formula you can solve it bye