Answer:
angle is 45° which is constant
Step-by-step explanation:
We use formula for two vectors <u>a </u>and <u>b</u> to calculate angle θ between them by formula
cos θ = <u>a .</u> <u>b</u> / magnitude of <u>a </u> × magnitude of <u>b</u>
<u>Please see the attached file</u>
Answer:
i can help with a littel bit of it
Step-by-step explanation:
1. answer
29±95‾‾‾√9
x
=
−
2
9
±
95
i
9
=−0.222222+1.08298
x
=
−
0.222222
+
1.08298
i
=−0.222222−1.08298
x
=
−
0.222222
−
1.08298
i
Find the Solution for:
92+4+11=0
9
x
2
+
4
x
+
11
=
0
using the Quadratic Formula where
a = 9, b = 4, and c = 11
=−±2−4‾‾‾‾‾‾‾‾√2
x
=
−
b
±
b
2
−
4
a
c
2
a
=−4±42−4(9)(11)‾‾‾‾‾‾‾‾‾‾‾‾√2(9)
x
=
−
4
±
4
2
−
4
(
9
)
(
11
)
2
(
9
)
=−4±16−396‾‾‾‾‾‾‾‾‾√18
x
=
−
4
±
16
−
396
18
=−4±−380‾‾‾‾‾√18
x
=
−
4
±
−
380
18
The discriminant 2−4<0
b
2
−
4
a
c
<
0
so, there are two complex roots.
Simplify the Radical:
=−4±295‾‾‾√18
x
=
−
4
±
2
95
i
18
=−418±295‾‾‾√18
x
=
−
4
18
±
2
95
i
18
Simplify fractions and/or signs:
=−29±95‾‾‾√9
x
=
−
2
9
±
95
i
9
which becomes
=−0.222222+1.08298
x
=
−
0.222222
+
1.08298
i
=−0.222222−1.08298
2. Answer:
=−38±895‾‾‾‾√40
x
=
−
3
8
±
895
i
40
=−0.375+0.747914
x
=
−
0.375
+
0.747914
i
=−0.375−0.747914
x
=
−
0.375
−
0.747914
i
3. Answer:
=0=−74
x
=
0
x
=
−
7
4
=0
x
=
0
=−1.75
Find the Solution for
82+14+0=0
8
x
2
+
14
x
+
0
=
0
using the Quadratic Formula where
a = 8, b = 14, and c = 0
=−±2−4‾‾‾‾‾‾‾‾√2
x
=
−
b
±
b
2
−
4
a
c
2
a
=−14±142−4(8)(0)‾‾‾‾‾‾‾‾‾‾‾‾√2(8)
x
=
−
14
±
14
2
−
4
(
8
)
(
0
)
2
(
8
)
=−14±196−0‾‾‾‾‾‾‾√16
x
=
−
14
±
196
−
0
16
=−14±196‾‾‾‾√16
x
=
−
14
±
196
16
The discriminant 2−4>0
b
2
−
4
a
c
>
0
so, there are two real roots.
Simplify the Radical:
=−14±1416
x
=
−
14
±
14
16
=016=−2816
x
=
0
16
x
=
−
28
16
=0=−74
x
=
0
x
=
−
7
4
which becomes
=0
x
=
0
=−1.75
i hope this helps
Answer:
(D) 
(E)
has a range of all real numbers.
Step-by-step explanation:
Given the function: 
When y=f(x)=0
Therefore, 
Also, 
has a range of all real numbers.
Therefore, Options D and E are correct.
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
Exact Form:
−119
Decimal Form:
−1.¯2
Mixed Number Form:
−129
