Answer:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
4
1
+
8
=
0
5x^{2}-41x+8=0
5x2−41x+8=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
4
1
b={\color{#e8710a}{-41}}
b=−41
=
8
c={\color{#129eaf}{8}}
c=8
=
−
(
−
4
1
)
±
(
−
4
1
)
2
−
4
⋅
5
⋅
8
√
2
⋅
5
2
Simplify
3
Separate the equations
4
Solve
Solution
=
8
=
1
5
Answer:
113/24
Step-by-step explanation:
Simplify the following:
(14 + 1/8)/3
Put 14 + 1/8 over the common denominator 8. 14 + 1/8 = (8×14)/8 + 1/8:
((8×14)/8 + 1/8)/3
8×14 = 112:
(112/8 + 1/8)/3
112/8 + 1/8 = (112 + 1)/8:
((112 + 1)/8)/3
112 + 1 = 113:
(113/8)/3
113/8×1/3 = 113/(8×3):
113/(8×3)
8×3 = 24:
Answer: 113/24
So this is a special triangle. The 30-60-90 triangle rule states that if the short leg is y, then the hypotenuse is 2y and the long leg is y√3.
In this case, the short leg is 5√3 since that times √3 makes 15.
Now with the hypotenuse, just multiply 5√3 with 2, and your answer should be 10√3, or C.
Cos(60) = cos(90 - 30) = sin(30) = 1/2
This should be what you want.
Answer: 70x^2 -50x
Step-by-step explanation:
^ means exponent
