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3 years ago

A trinomial with a leading coefficient of 3 and a constant term of -5

Mathematics

2 answers:

Lady_Fox [76]3 years ago

6 0

Answer:

A trinomial with a leading coefficient of 3 and a constant term of -5 is $3x^2+x-5$ .

Step-by-step explanation:

To find : A trinomial with a leading coefficient of 3 and a constant term of -5 ?

Solution :

A trinomial is a polynomial with three terms is in the form of $ax^2+bx+c$ .

where, a is the leading coefficient, b is the middle coefficient of x and c is the constant.

A trinomial with a leading coefficient of 3 and a constant term of -5.

Here, a=3,c=-5 and consider b=1,

So, $3x^2+x-5$

Therefore, a trinomial with a leading coefficient of 3 and a constant term of -5 is $3x^2+x-5$ .

Yakvenalex [24]3 years ago

4 0

This is one example of a trinomial with a leading coefficient of 3 and a constant term of -5

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allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

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The perimeter of a square is 52 meters. What is it area.

ValentinkaMS [17]

Answer:

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Step-by-step explanation:

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VikaD [51]

<span>What is 10.5% commission of $85,000

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ipn [44]

Y=kx
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k = -3

so when y = 15
y = kx
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----------------

$50 / 0.04 = $1250 (4% interest)

so
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answer
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-----------------------------

y = kx
1/4 = 4k
k = 1/16

when x = 5
y = kx
y = 1/16(5)
y = 5/16

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y = kx
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direct equation
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