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3 years ago

Solve by completing the square: x^2 + 7x + 4 = 0

Mathematics

1 answer:

Len [333]3 years ago

5 0

Answer:

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Add

to both sides of the equation.

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

(

)

(

)

Add the term to each side of the equation.

(

)

(

)

Simplify the equation.

Tap for more steps...

Factor the perfect trinomial square into

(

)

(

)

Solve the equation for

Tap for more steps...

√

−

The result can be shown in multiple forms.

Exact Form:

√

−

Decimal Form:

0.53112887

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7.53112887

Step-by-step explanation:

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The median is 28; 16,24,x,48

Nookie1986 [14]

x = 32

To find the media, you take the middle number. If there is no discrete middle number, take the sum of the two closest to the middle and divide by 2.

(24 + x)/2 = 28

Multiply by 2 on both sides to get:

24 + x = 56

Subtract 24 from both sides to isolate the variable:

x = 56 - 24
x = 32

3 0

3 years ago

(x+7)(2x+1)=7 solve by using quadratic formula

Olenka [21]

I believe it is x= 7, -2

8 0

3 years ago

Evaluate xtosecond power divided by 12 minus x for x=6

jenyasd209 [6]

Answer: 3

Step-by-step explanation:

Given: x^2/12

Now, substitute. 6^2/12

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4 0

3 years ago

Read 2 more answers

--------------------------

maria [59]

Answer:

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Step-by-step explanation:

5 0

2 years ago

Let (-7, 2) be a point on the terminal side of 0.

nekit [7.7K]

By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>How to determine the exact values</h3>

In this question we need to find the exact values of three <em>trigonometric</em> functions associated with the <em>terminal</em> side of an angle. The following definitions are used:

Sine

$\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}$ (1)

Secant

$\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}$ (2)

Tangent

$\tan \theta = \frac{y}{x}$ (3)

If we know that x = - 7 and y = 2, then the exact values of the three <em>trigonometric</em> functions:

Sine

$\sin \theta = \frac{2}{\sqrt{53}}$

Secant

$\sec \theta = -\frac{\sqrt{53}}{7}$

Tangent

$\tan \theta = -\frac{2}{7}$

<h3>Remark</h3>

The statement reports typing errors, correct form is shown below:

<em>Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.</em>

To learn more on trigonometric functions: brainly.com/question/6904750

#SPJ1

5 0

1 year ago