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Hunter-Best [27]
3 years ago
10

Solve using Quadratic Formula x^2 + 3x - 3 = 0​

Mathematics
1 answer:
katrin [286]3 years ago
4 0

Answer:

a= 1 , b= 3 , c= –3

x =  \frac{ - b \frac{ + }{}  \sqrt{ {b}^{2}  - 4ac} }{2a}  \\ x =  \frac{ - 3  \frac{ + }{} {}  \sqrt{ {3}^{2}  - 4(1)( - 3)} }{2(1)}  \\  =   \frac{ - 3 \frac{ + }{}  \sqrt{9 + 12} }{2}  =  \frac{ - 3 \frac{ + }{} \sqrt{21}  }{2}  \\ \\  x =  \frac{ - 3 \frac{ + }{} \sqrt{21}  }{2}  \\  \\ x = 0.79 \\ x =  - 3.79

I hope I helped you^_^

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The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. This
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Step-by-step explanation:

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=60% of x

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5 0
4 years ago
What is the length of LJ?
Fofino [41]

Option D:

The length of LJ = 3.5

Solution:

In the triangle LJK,

LK = 9, ∠K = 23°, ∠J = 89°

To find the length of LJ:

<u>Law of sine: </u>

A, B, C are the angles of the triangle and

a, b, c are the sides of the triangle.

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}

Here for ΔLJK,

The side opposite to angle L is <em>l</em>.

The side opposite to angle J is <em>j</em>.

The side opposite to angle K is <em>k</em>.

$\frac{l}{\sin L}=\frac{j}{\sin J}=\frac{k}{\sin K}

Take only two sides.

$\frac{9}{\sin 89^\circ}=\frac{LJ}{\sin 23^\circ}

$9\times \sin 23^\circ=LJ \times\sin 89^\circ

$9\times0.3907=LJ \times0.9998

$3.5163=LJ \times0.9998

$LJ=\frac{3.5163}{0.9998}

$LJ=3.51

LJ = 3.5 (approximately)

Option D is the correct answer.

The length of LJ = 3.5.

6 0
3 years ago
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