Answer:
x
2
+
7
x
−
4
=
0
Add
4
to both sides of the equation.
x
2
+
7
x
=
4
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
7
2
)
2
Add the term to each side of the equation.
x
2
+
7
x
+
(
7
2
)
2
=
4
+
(
7
2
)
2
Simplify the equation.
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x
2
+
7
x
+
49
4
=
65
4
Factor the perfect trinomial square into
(
x
+
7
2
)
2
.
(
x
+
7
2
)
2
=
65
4
Solve the equation for
x
.
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x
=
±
√
65
2
−
7
2
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
65
2
−
7
2
Decimal Form:
x
=
0.53112887
−
7.53112887
Step-by-step explanation:
Answer:
48°
Step-by-step explanation:
Given the trigonometry equation
sin(52)= cos(5x-2)...1
According to the quadrant:
Sin(θ) = cos(90-θ)
Sin52 = cos(90-52)
Sin52 = cos48... 2
Substituting 2 into 1:
Cos48 = cos(5x-2)
48 = 5x-2
5x = 48+2
5x = 50
x = 10°
The smallest of the angle will be angle 5x-2 = 5(10)-2
= 50-2
= 48°
Answer:
Step-by-step explanation:
We are told that Nita wants to buy a new keyboard for her computer. She will buy the keyboard when it is on sale for under $50.
Let k be the price in dollars at which Nita will buy the keyboard. Nita will buy the keyboard when its price is less than 50. So we can write our inequality as:
Therefore, our desired inequality will be .
Answer:
its B
Step-by-step explanation:
