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3 years ago

6

Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), o

r neither (if the set is not a relation). F = {(x, y ) | x + y = 10}

2 answers:

inysia [295]3 years ago

6 0

F= {(x,y) I x+y =10

Function

goldfiish [28.3K]3 years ago

6 0

Answer:

function

Step-by-step explanation:

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Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system?. . 6x + 12y = 13. . 2x + y

ankoles [38]

An "inconsistent" system means that there will be no shared point between the two lines. This can happen when the two lines are parallel. To determine which one of the equations would cause this, simply compare the slopes of both equations and see which ones match.

The given equation 4x + 2y = 9 has a slope, m = -2

Among the choices, the equation with the same slope is 2x + y = -6.

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3 years ago

Two buildings are facing each other on a road of width 12 metre . From the top of the first building, which is 10 metre high , t

Karo-lina-s [1.5K]

Answer:

$\displaystyle 10 + 12\sqrt{3}$ <em>metres</em>

Step-by-step explanation:

You are finding the <em>height</em><em> </em>of the building with an angle of elevation, therefore we need to solve for <em>EC</em><em> </em>to add it to <em>BA</em><em> </em>[10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ$

We can now solve for <em>EC</em>:

$\displaystyle cot\:60 = \frac{12}{EC} → ECcot\:60 = 12 \\ \\ \frac{ECcot\:60}{cot\:60} = \frac{12}{cot\:60} → 12\sqrt{3} = EC$

<em>OR</em>

$\displaystyle tan\:60 = \frac{EC}{12} → 12tan\:60 = EC → 12\sqrt{3} = EC$

Now that you have solved for <em>EC</em>, you can now add it to your original 10 metres to get $\displaystyle 10 + 12\sqrt{3}$ <em>metres</em>. As a decimal, you would get $\displaystyle 30,78460969...$ <em>metres</em>. You can go ahead and round this off if necessary.

** The reason why the <em>cotangent</em><em> </em>[or <em>tangent</em>] ratio was used was because <em>EA</em><em> </em>is equivalent to <em>DB</em> by the definition of a rectangle. It has two pairs of parallel and congruent sides with <em>four</em><em> </em><em>right</em><em> </em><em>angles</em>. Plus, that is the <em>adjacent</em><em> </em><em>side</em><em> </em>of the triangle, while <em>EC</em><em> </em>is the <em>opposite</em><em> </em><em>side</em><em> </em>of the triangle, so we knew our ratios were correct.

I am joyous to assist you at any time.

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3 years ago

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icang [17]

Answer:

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Step-by-step explanation:

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Amber makes $45,700 per year. The income tax rate is 4% and she takes $2,000 in exemptions. What are her withholdings for the ye

liraira [26]

Answer:

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Step-by-step explanation:

SO

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3 years ago

What is a literally equation

katrin [286]

A literal equation is an equation where variables represent known values.''

hope this helps :)

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4 years ago