Which of the following is a solution of x^2+6x=-18

Answers

Answer 1

We are provided with a quadratic equation , and we have to find it's roots , but let's recall some things

The Standard Form of a quadratic equation is ax² + bx + c = 0

If D > 0 , then the equation have two real and distinct roots/zeroes .

If D = 0 , then the equation have two equal roots/zeroes .

If D < 0 , then the equation have two imaginary roots/zeroes or you can say that no real roots

Where , D is the Discriminant whose value is b²- 4ac and the roots of the equation are given by a very famous formula called The Quadratic Formula , which is as follows ;

[tex]{\quad {\boxed{\pmb{\bf x = \dfrac{-b \pm \sqrt{D}}{2a}}}}}[/tex]

Now , coming back on the question ;

We are provided with the equation x² + 6x = -18 , so on comparing this equation with the standard form of quadratic equation , we have , a = 1 , b = 6 and c = 18 . Now calculating the Discriminant ;

[tex]{: \implies \quad \sf D=(6)^{2}-4\times 1 \times 18}[/tex]

[tex]{: \implies \quad \sf D=36-72}[/tex]

[tex]{: \implies \quad \sf D=-18}[/tex]

As , D < 0 , so two imaginary roots exist . Now by quadratic formula ;

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{-36}}{2\times 1}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{\underline{6\times 6}\times -1}}{2}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\sqrt{-1}}{2}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\iota}{2} \quad \{\because \sqrt{-1}=\iota\}}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{2(-3\pm 3\iota)}{2}}[/tex]

[tex]{\quad \qquad \boxed{\bf \therefore \: x=-3 \pm 3\iota}}[/tex]


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For each pair of pants, Pedro has 2 shirts. Which models show this relationship? Check all that apply.

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Step-by-step explanation:

Given - For each pair of pants, Pedro has 2 shirts.

To find - Which models show this relationship?

Proof -

Let Pedro has total number of pair of pants = x

Now,

As given

For 1 pair of pants , Pedro has total number of shirts = 2

⇒For x pair of pants , total number of shirts = 2x

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Answers

Answer:

6

Step-by-step explanation:

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Answers

Answer:

2t + 8

Step-by-step explanation:

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Step-by-step explanation:

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Answers

117 degrees

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Answers

Answer:

2^8/3^8

Step-by-step explanation:

When multiplying powers with the same base, add the number in the exponent. For example, if you were multiplying 2^4 and 2^3, you would add 3 and 4 (3+4=7), and write your answer as 2^7. In this case, the bases being multiplied are both 2/3, so you can add 2 and 6 for a sum of 8 and put 8 as the exponent: (2/3)^8. The fully simplified expression is 2^8/3^8 because the exponent applies to both the numerator and the denominator.

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Answer:

256/6561

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

Corresponding Angles: the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

Alternate Interior: The term alternate interior angles is often used when two lines are cut by a third line, a transversal .

Vertical Angle: each of the pairs of opposite angles made by two intersecting lines.

Step-by-step explanation:

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Answer:

a)-3>-7

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c)-6<8 The symbol was reversed.

Step-by-step explanation:

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B ellipse

C rectangle

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Answer:it might be (F)

Step-by-step explanation:

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Answer:

03

Step-by-step explanation:

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The value of y from the figure is 3.

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An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°).

A rectangle has equal and parallel opposite sides.

A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.

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As, we know the opposite sides of rectangle are equal.

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If the complement of an angle is 79 degree , then the angle will be of .............measures

Answers

Answer:

11°

Step-by-step explanation:

90°-79°

=11°

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Answer:

Step-by-step explanation:

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Answers

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Answer:

  15

Step-by-step explanation:

The value of c can be found by using the given point values in the equation for the line.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

The length of the chord is 30cm

Step-by-step explanation:

Given

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Answers

Answer:

2nd, third and fifth options are the correct answers.

Step-by-step explanation:

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Milo wants to roll epoxy on his garage floor. In order to do this he needs to know the area of his rectangular-shaped garage. The measurements are 20+ (radical) 3 feet by 20+ (radical) 3 feet.

What is the area of his garage floor?
(Remember, the formula for the area of a rectangle is A = lw.)
Please help. I've been stuck on this problem. :)

Answers

Answer:

A

Step-by-step explanation:

i got it right on edge

The area of his garage floor Milo wants to roll epoxy is 403 + 40√3 ft².

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We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, Milo wants to roll epoxy on his garage floor.

The measurements are 20 + √3 feet by 20 + √3 feet.

Therefore, The area of his garage floor is,

= (20 + √3)×(20 + √3) ft².

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= 400 + 40√3 + 3 ft².

= 403 + 40√3 ft².

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Answer:

the answer is c plz trust

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Answers

Answer:

For train A, the distance traveled as a function of time in hours is written as:

y = 68*x

For train B, we know that it's equation passes through the points (0, 0) and (1, 64)

Remember that:

A linear relationship can be written as:

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For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

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Then equation of train B is something like:

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0 = 64*0 + b

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Step-by-step explanation:

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Answer:

C = 13

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2. find the formula for the nth term.​

Please show the working

Answers

Answer:

the next three terms are 2,7,12,17,22,27,32

have a nice day

Answer:

n + 5

Step-by-step explanation:

n+5

2,7,12,17,22,27,32

Mr. Green baked 24 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Mr. Green bake?

Answers

Answer:

20

Step-by-step explanation:

there r 24 cookies

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Answer:

20 oatmeal cookies

Step-by-step explanation:

If it is 6ths then divide 24 by 6 which is 4 and multiply 5 by 4 which is 20

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-6x + 10 is the answer!!!!

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