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xz_007 [3.2K]
3 years ago
8

Help!!!! What’s an appropriate method to solve 9x^2+3x-2=0??

Mathematics
1 answer:
shusha [124]3 years ago
5 0
To solve that use the Quadratic formula.
ax^{2} + bx + c = 0
9 {x}^{2}  + 3x - 2 = 0
Solve using:
x(1) =  \frac{ - b -  \sqrt{ {b}^{2}  - 4ac} }{2a}
and
x(2) =  \frac{ - b  +   \sqrt{ {b}^{2}  - 4ac} }{2a}
Answers are
x(1) =  \frac{1}{3}  \\ x(2) =   - \frac{2}{3}
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given that A=43 degrees , B=82 degrees and c=28, solve triangle ABC. Round to the nearest hundredth. A) C= 93 degrees , b= 33.8
n200080 [17]
A=43°
B=82°
c=28

1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)

2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°

2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3

 2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8

Answer: Option B) C=55°, b=33.8, a=23.3
8 0
3 years ago
How much orange juice at 45 a liter should be mixed with grapefruit juice worth 35 a liter to make 200 liters of a mixture worth
miss Akunina [59]
The amount of liters is 200,if the orange juice is x than grape juice. 200-x
45x+35(200-x)=200*40
45x+7000-35x=8000
10x=1000
x=100
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3 years ago
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Answer:

Picture

Step-by-step explanation:

I graphed them

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3 years ago
The equation y-2/3=(x-1/4) is written in point-slope from what equation in slope-intercept from
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Answer:

y=x+5/12

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