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2 years ago

15

When trying to write an equation in standard form, you first have to find the slope if it is not given. If the slope ends up bei

ng 5/0, is the slope 5 or 0?

1 answer:

Elan Coil [88]2 years ago

3 0

It is neither one. Division by zero is undefined in math, so if the slope ends up being 5/0, the line has undefined slope.

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What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square

geniusboy [140]

Answer:

$x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

A quadratic can generally be expressed as: $y=ax^2+bx+c$

So using the equation you gave: $0=x^2-5x-1$

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

$x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

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1 year ago

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CaHeK987 [17]

32 as well according to some rule in geometry

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Mallorie has $3 in her wallet.If this is 10% of her monthly allowance, What is her monthly allowance?

Mekhanik [1.2K]

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the area of a triangle is 96 2. the height of the triangle is 8 inches. find the perimeter of the triangle if each side of the t

Anastasy [175]

Area = 1/2 bh
96 = 1/2 x b x 8 = 4b
b = 96/4 = 24 inches

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P = 3 x 24 = 72 inches.

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2 years ago

Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of

Elza [17]

9514 1404 393

Answer:

195 ft

Step-by-step explanation:

The relationship between the horizontal distance, angle, and vertical height is given by ...

Tan = Opposite/Adjacent

Referring to the attached diagram, we have ...

tan(16°) = BT/MB

tan(25°) = BK/MB

Solving for BT and BK, we can describe their difference as ...

BT = MB·tan(16°)

BK = MB·tan(25°)

BK -BT = 35 = MB(tan(25°) -tan(16°))

Dividing by the coefficient of MB gives ...

MB = 35/(tan(25°) -tan(16°)) = 35/0.179562

MB = 195 . . . feet

Marcos is standing 195 feet from the base of the tree.

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2 years ago