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2 years ago

Solve the equation for all real values of x. sec2x + 2secx = 0

Mathematics

1 answer:

Alecsey [184]2 years ago

8 0

Given :

$sec^2\ x + 2sec\ x = 0$

To Find :

All real value solution of given equation.

Solution :

Simplifying given equation, we get :

sec x( sec x + 2 ) = 0

sec x = 0 and (sec x + 2) = 0

For, sec x = 0 :

x = not defined.

For, (sec x + 2) = 0 :

cos x = -1/2

x = cos⁻¹( -1/2 ) = 2π/3

Therefore, general solution is ( 2nπ ± 2π/3 ), n ∈ Z⁺ .

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The graph of y = ax 2 + bx + c is a parabola that opens up and has a vertex at (-2, 5). What is the solution set of the related

loris [4]

Answer: Assume c = 0

Step-by-step explanation:

Step-by-step explanation:

Assume c = 0

Using the formula for the x-coordinate of the vertex, b can be calculated in terms of a:

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AND

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2 years ago

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Assoli18 [71]

Answer:

Step-by-step explanation:

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Analyze the diagram below and complete the instructions that follow. Find the area of QRS.

11Alexandr11 [23.1K]

Answer-

The area of QRS is 238.7 sq units.

Solution-

According to properties of supplementary angles,

$m\angle R+124=180\\\\m\angle Q+132=180$

So,

$\Rightarrow m\angle R=180-124=56,\ m\angle Q=180-132=48$

As the sum of measurement of all the angles in a triangle is 180, so

$\Rightarrow m\angle S+m\angle R+m\angle Q=180$

$\Rightarrow m\angle S=180-m\angle R-m\angle Q$

$\Rightarrow m\angle S=180-56-48=76$

Then the area of the triangle will be,

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3 years ago

Please answer (*´∇｀*)

garri49 [273]

Answer:
D. 26

Explanation:
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2 years ago

A circle has a circumfernce of 6. It has an arc length of 1

fomenos

Answer:

The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:

6= πd and then divide both sides of the equation by π you get that d = 1.90

To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:

1 = 0.9549θ.

If you divide both sides of the equation by 0.9549 you get θ = 1.047197 radians.

The question asked for the angle measure in degrees so you would need to convert the angle measure to degrees by multiplying the degree measurement by 180/π

1.047197 x 180/π = 60°

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3 years ago