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Vladimir [108]
2 years ago
13

Find the solution of the Quadratic Equation 2X^2 + 2x - 12 = 0 note: X^2 means x to the power of 2

Mathematics
1 answer:
allsm [11]2 years ago
3 0

x=3 and x= -2

Step-by-step explanation:

we could simplify it to x*2 + x -6 = 0

then 2 numbers whose sum is 1 and product is -6

the numbers are 3 and -2

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Write the statement as an algebraic expression.
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(c^{2}+d)+2(cd)

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we know that

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(c^{2}+d)

The algebraic expression of the phrase " The sum of square of c and d increased by twice their product" is equal to

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Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)
Fantom [35]

Answer:

Given: \sin(x) = (4/5).

Assuming that 0 < x < 90^{\circ}, \cos(x) = (3/5) while \tan(x) = (4/3).

Step-by-step explanation:

By the Pythagorean identity \sin^{2}(x) + \cos^{2}(x) = 1.

Assuming that 0 < x < 90^{\circ}, 0 < \cos(x) < 1.

Rearrange the Pythagorean identity to find an expression for \cos(x).

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Given that 0 < \cos(x) < 1:

\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}.

Hence, \tan(x) would be:

\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}.

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2 years ago
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3 years ago
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