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3 years ago

What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 14x + ?

1 answer:

6 0

49. To determine a perfect square tribunal, divide the middle term by two, the square it. (In a case where the squared term has a coefficient, make sure to divide the entire trinomial by it to get rid of it, otherwise this rule won’t work)

14/2 = 7
7^2 = 49

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Drag each equation to the correct location on the table.

Ket [755]

Answer:

Hi! I hope this is correct please inform me if this is incorrect :)

a = 1 will have.

2a + 3 < 9 - 3a.

2a + 3 > 10 -3a.

3a - 2a + 1>2.

a = 2 will have

ANY others I did not include in a = 1 :)

Please once again tell me if this is incorrect.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which properties are present in a table that represents an exponential function in the form y-b* when b > 1?

erastovalidia [21]

Answer:

<u>Properties that are present are </u>

Property I

Property IV

Step-by-step explanation:

The function given is $y=b^x$ where b > 1

Let's take a function, for example, $y=2^x$

Let's check the conditions:

I. As the x-values increase, the y-values increase.

Let's put some values:

y = 2 ^ 1

y = 2

and

y = 2 ^ 2

y = 4

So this is TRUE.

II. The point (1,0) exists in the table.

Let's put 1 into x and see if it gives us 0

y = 2 ^ 1

y = 2

So this is FALSE.

III. As the x-value increase, the y-value decrease.

We have already seen that as x increase, y also increase in part I.

So this is FALSE.

IV. as the x value decrease the y values decrease approaching a singular value.

THe exponential function of this form NEVER goes to 0 and is NEVER negative. So as x decreases, y also decrease and approached a value (that is 0) but never becomes 0.

This is TRUE.

Option I and Option IV are true.

3 0

3 years ago

Read 2 more answers

What is 0.12¯¯¯¯ expressed as a fraction in simplest form? Enter your answer in the box.

Tatiana [17]

I just took the test i should be 4/33

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3 years ago

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Pleaseeeeeee help mee

BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

<u><em>verification </em></u>:-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

4 0

3 years ago

Someone please help me!!

kobusy [5.1K]

<h3>Answer:</h3>

A) Isosceles

E) Obtuse

<h3>Step-by-step explanation:</h3>

Ways to Define a Triangle

Triangles can be defined in two ways: by angles and by sides. Equilateral, isosceles, and scalene are based on side length. Acute, right, and obtuse are based on angle measurements. Triangle may only fall under one category for side length and one for angle measure (2 categories total).

Side Length

First, let's define equilateral, isosceles, and scalene.

Equilateral - All 3 sides of the triangle are congruent (equilateral are always acute angles).
Isosceles - 2 of the sides are congruent.
Scalene - There are no congruent sides; each side has a different length.

The triangle above has 2 congruent sides as shown by the tick marks on the left and right sides. This means the triangle is isosceles.

Angle Measurements

Now, let's define acute, right, and obtuse.

Acute - All 3 angles are less than 90 degrees; all angles are acute.
Right - 1 of the angles is exactly 90 degrees; it has a right angle.
Obtuse - 1 of the angles is greater than 90 degrees; there is an obtuse angle.

The largest angle in the triangle is 98 degrees, which is obtuse. This means that the triangle is obtuse.

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2 years ago