Answer:
(3,11)
Step-by-step explanation:
Turn both equations into linear equations:
y=2x+5
y=5x-4
Then, just graph both equations.
Find the point where the two lines intersect. That point of intersection is the solution. That coordinate is (3,11).
Answer:
√
8
≈
3
Explanation:
Note that:
2
2
=
4
<
8
<
9
=
3
2
Hence the (positive) square root of
8
is somewhere between
2
and
3
. Since
8
is much closer to
9
=
3
2
than
4
=
2
2
, we can deduce that the closest integer to the square root is
3
.
We can use this proximity of the square root of
8
to
3
to derive an efficient method for finding approximations.
Consider a quadratic with zeros
3
+
√
8
and
3
−
√
8
:
(
x
−
3
−
√
8
)
(
x
−
3
+
√
8
)
=
(
x
−
3
)
2
−
8
=
x
2
−
6
x
+
1
From this quadratic, we can define a sequence of integers recursively as follows:
⎧
⎪
⎨
⎪
⎩
a
0
=
0
a
1
=
1
a
n
+
2
=
6
a
n
+
1
−
a
n
The first few terms are:
0
,
1
,
6
,
35
,
204
,
1189
,
6930
,
...
The ratio between successive terms will tend very quickly towards
3
+
√
8
.
So:
√
8
≈
6930
1189
−
3
=
3363
1189
≈
2.828427
1. b , 2. A
this has toooo have 20 or more letters soooo i’m doing thissssss hiiiii
In rotation, the angle through which the plane figure is rotated is called the point of a figure through a specified angle and direction about a fixed point. Identify the corresponding vertices of the rotation.
Answer:
a
Step-by-step explanation:
It begins at the point (0, -1200). 0 tickets sold, $1200 spent.
$5 for a ticket means that slope =5.
(600, 1800) and (0,-1200)
m= (1800-(-1200))/(600-0)=3000/600=5
slope=5
Answer is a.
