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2 years ago

Solve -2x^2 - 16x - 44 = 0

Mathematics

2 answers:

NemiM [27]2 years ago

8 0

Answer:

Let's find the discriminant to see if there are any solutions at all. When ax² + bx + c = 0 the discriminant (D) is b² - 4ac. In our case, a = -2, b = -16 and c = -44 so D = (-16)² - 4(-2)(-44) = -96 which is less than 0. Since D < 0 the answer is no real solutions or x ∉ R.

Lilit [14]2 years ago

4 0

Answer:

x = -4 + i√6 and

x = -4 - i√6

Step-by-step explanation:

Divide all four terms by 2 to reduce the equation: -x^2 - 8x - 22 = 0.

Change all four signs: x^2 + 8x + 22

Complete the square of x^2 + 8x:

x^2 + 8x => x^2 + 8x + 16 - 16

Then our x^2 + 8x + 22 from above becomes x^2 + 8x + 16 + 22 - 16, or

(x + 4)^2 + 6 = 0, or (x + 4)^2 = -6

Taking the square root of both sides, we obtain:

x + 4 = ±√-6, or x + 4 = ±i√6

Solving for x, we get x = -4 ±i√6, and so the roots are:

x = -4 + i√6 and

x = -4 - i√6

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The expression on (3+i)(4+5i) can be written in form a+bi, where a and b are integers. What are the values of a and b? (Show you

gregori [183]

$(3 + i)(4 + 5i) \\ 12 + 15i + 4i + 5 {i }^{2} \\ 12 + 19i - 5 \\ 7 + 19i$

Therefore, a is 7 aka real part and b is 19 which is imaginary part.

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2 years ago

True or false the in-center of a triangle is the point equidistant from each side of the triangle

Viktor [21]

Answer:

True.

Step-by-step explanation:

Let's see the definition of in-center of a triangle.

The in-center of a triangle is a point located in the center of the triangle. It is equal distance from all sides of the triangle.

Therefore, it is True.

If we draw line segments from in-center to each vertex of the triangle, it will bisect the angles.

Herewith I have attached the figure for your reference.

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3 years ago

Read 2 more answers

Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

 The numbers are 6, 18, and 30 

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

If 10 is added to the last number to form an arithmetic progression

Then, 3x 9x (10x+10) are the progression

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10

Substituting these values into equation 1

9x-3x = (10x+10)-9x

Solving the equation above,

3x = 10+x

3x-x = 10

2x = 10

x = 10/2

x = 2.

Therefore the numbers are 6, 18, and 30 

7 0

3 years ago

Find x Plz help me !!!

mel-nik [20]

Answer:

$\Huge\boxed{x=33.2}$

Step-by-step explanation:

Hello there!

We can solve for x using law of sines

As we can see in the image a side length divided by sin ( its opposite angle) = a different side length divided by sin ( its opposite angle)

So we can use this equation to solve for x

$\frac{21}{sin(35)} =\frac{x}{sin(65)}$

Our objective is to isolate the variable using inverse operations so to get rid of sin (65) we multiply each side by sin (65)

$\frac{x}{sin(65)} sin(65)=x\\\\\frac{21}{sin(35)} sin(65)=\frac{21sin(65)}{sin(35)}$

we're left with

$x=\frac{21sin(65)}{sin(35)}\\x=33.18208755$

assuming we have to round the answer would be 33.18 or 33.2

7 0

3 years ago

A suncatcher has 6 sections. Each section is in the shape of a parallelogram witha base of 12 cm and a height of 8 cm. What is t

jonny [76]

Answer:

576 cm²

Step-by-step explanation:

Given:

Number of sections in a suncatcher (n) = 6

Each section is in the shape of a parallelogram.

Base of parallelogram = 12 cm

Height of parallelogram = 8 cm

Now, area of a parallelogram is given as:

Area of parallelogram = Base × Height

Area of 1 parallelogram = 12 cm × 8 cm = 96 cm²

Now, there are 6 parallelogram shaped sections.

So, area of the sections = area of 1 section × total number of sections

∴ Area of 6 sections = 96 cm² × 6 = 576 cm²

Therefore, the total area of the sections of a suncatcher is 576 cm².

5 0

2 years ago