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NemiM [27]
2 years ago
10

A greenhouse owner wants to test the effectiveness of a new fertilizer on African violets. She has 60 violet

Mathematics
1 answer:
const2013 [10]2 years ago
5 0

Answer:

1 - 60

Step-by-step explanation:

She needs to number each plant 1-60 and randomly select 10 plants.

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The line l cuts the y-axis at (0, 5). l also passes through the point (2, 1). find the equation of the line which is parallel to
Over [174]

Answer: y=-2x+6

Step-by-step explanation:

The slope of line l is

\frac{5-1}{0-2}=-2

Since parallel lines have the same slope, the slope of the line we need to find is -2.

Substituting into point-slope form,

y=-2(x-3)\\\\y=-2x+6

3 0
2 years ago
Use the figure below to determine the exact value of the given function sin2 0
Strike441 [17]

Answer:

sin2θ = \frac{12}{13}

Step-by-step explanation:

Since, sin2θ = 2sinθcosθ

From the triangle given in the picture,

Opposite side of angle θ = 2 units

Adjacent side of angle θ = 3 units

Hypotenuse = \sqrt{2^2+3^2} = \sqrt{13} [By Pythagoras theorem]

sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

       = \frac{2}{\sqrt{13}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

        = \frac{3}{\sqrt{13} }

sin2θ = 2\times (\frac{2}{\sqrt{13}})(\frac{3}{\sqrt{13}})

         = \frac{12}{13}

7 0
3 years ago
X=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%2B%5Csqrt%7B3%7D%20%7D" id="TexFormula1" title="\frac{1}{2+\sqrt{3} }" al
iren [92.7K]

Answer:

4

Step-by-step explanation:

Simplify x and y by rationalising the denominator of both

To rationalise the denominator multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of 2 + \sqrt{3} is 2 - \sqrt{3}

The conjugate of 2 - \sqrt{3} is 2 + \sqrt{3}

x = \frac{1(2-\sqrt{3)} }{(2+\sqrt{3})(2-\sqrt{3})  } = \frac{2-\sqrt{3} }{4-3} = 2 - \sqrt{3}

y = \frac{1(2+\sqrt{3}) }{(2-\sqrt{3})(2+\sqrt{3})  } = \frac{2+\sqrt{3} }{4-3} = 2 + \sqrt{3}

Thus

x + y = 2 - \sqrt{3} + 2 + \sqrt{3} = 4

5 0
3 years ago
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