please help me :( ill mark you brainliest <3
(maths) 20 points xxx

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

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]

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step

4x−3=−11

Step 1: Add 3 to both sides

4x−3+3=−11+3

4x=−8

Step 2: Divide both sides by 4

4x

4

=

−8

4

x=−2

Answer:

[tex]4x + ( - 3) = - 11 \\ 4x (- 3) = - 11 \\ 4x = - 11 + 3 \\ 4x = - 8 \\ x = \frac{ - 8}{4} \\ x = - 2[/tex]

Answer: 1/12 or 8.3%

Step-by-step explanation:

if the cube has 12 sides and only one (7) then there is a 1 in 12 chance it will land on that number or 8.3%

Step-by-step explanation:

4x and 6x sit on a straight line therefore must equal to 180°

4x+6x = 180° (∠'s on str. line)

10x = 180

x= 180/10

x= 18

Then we need to find ∠UYV

∠UYV = 4x

=4(18)

=72°

So ∠UYV = 72°

sample response: The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.

Answer:

The transformation rule should be applied to the pre-image.  The application of the rule results in the point (8, 12).  The transformation rule was applied to the wrong point.

Step-by-step explanation:

9514 1404 393

Answer:

  44 cm

Step-by-step explanation:

The law of cosines is applicable.

  t^2 = r^2 + s^2 -2rs·cos(T)

  t^2 = 52^2 +55^2 -2·52·55·cos(48°) ≈ 1901.57

  t ≈ √1901.57 ≈ 43.607

The length of t is about 44 cm.

Hey there!

By the law of cosines,

[tex]\implies\tt[/tex] t² = (52)² + (55)² - 2 × 52 × 55 × cos(48°)

[tex]\implies\tt[/tex] t² ≈ 1901.57

[tex]\implies\tt[/tex] t² = √1901.57

[tex]\implies\tt[/tex] t² = 43.607

Therefore;

Answer:

14,776 feet

Step-by-step explanation:

Answer:

The cirumference would be 78.5.

24*pi would equal 75.5398163397 so just round that.

Hope this helped

Answer: 1210.1

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

1/2x5x7x4+7x7

can I have the brainliest ?

Answer:

119 m

Step-by-step explanation:

First find the square 7x7 = 49m

Now the triangle [tex]\frac{5 * 7}{2}[/tex] = 17 .5

17.5 * 4 = 70m

70m + 49m = 119m

Answer: -324.4

Step-by-step explanation:

Answer:

the total amount paid by her is P450

Step-by-step explanation:

The computation of the total amount paid by her is given below;

= Total cost + delivery charges

= 6 tubs at P70 + P 30

= P420 + P30

= P450

Hence, the  total amount paid by her is P450

Answer:

7/ 36

Step-by-step explanation:

Roll of 2 fair six sided die :

Sample space = 6² = 36

Sum of 7:

(1,6) ; (6,1) ; (3,4) ; (4,3) ; (2,5) ; (5,2) = 6

Probability = required outcome / Total possible outcomes

Required outcome = 7

Total possible outcomes = 36

P(obtaining a sum of 7) = 7 / 36

Answer:

f(x) = 6x - 3

Step-by-step explanation:

Answer:

The real answer is y=5

Step-by-step explanation:

because its horizontal

y=5  represents a line which is perpendicular to the y-axis

A line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects

We need to find the equation which  represents a line that is perpendicular to the y-axis

A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

In the given options

x=-6

y=x-4

y=5

and x=-2y

The only horizontal line is y=5

Hence, y=5  represents a line which is perpendicular to the y-axis

To learn more on Straight lines click:

https://brainly.com/question/29223887

#SPJ2

Answer:

1st and 2nd option are the correct answers.

Answer:

1.85

Step-by-step explanation:

Answer:

this is not possible as it is a non terminating decimal

Answer:

395.2

Step-by-step explanation:

380 x 0.04 = 15.2

380 + 15.2 = 395.2

Answer:

The cost of the system including the tax is $395.20.

Step-by-step explanation:

If the tax is 4% that means that the total price will equal...

380 + (380)(0.04) = $395.20

Therefore the cost of the system including the tax will be $395.20.

Answer:

A

Step-by-step explanation:

Answer:

10 ,22

Step-by-step explanation:

i think so.................

Answer:

.485

Step-by-step explanation:

A meter is .001 of a kilometer

Answer:

Step-by-step explanation:

84/100 = x/125

x = 105 points

Answer:

we dont know what the equation equals yes im using this for free points im having a compition with my friend so ty im srry if i offended you

Step-by-step explanation: