80 POINTS!!!!!!

Which equation has the solutions x = startfraction negative 3 plus-or-minus startroot 3 endroot i over 2 endfraction? 2x2 6x 9 =

Gennadij [26K]

The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.

<h3>What is a quadratic equation?</h3>

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

We know that the formula

$\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

The solutions are given below.

$\rm x = \dfrac{-3 \pm \sqrt3 \iota }{2}$

Then

1) 2x² + 6x + 9 = 0, the zeroes of the equation will be

$\rm x = \dfrac{-6\pm 6\iota}{4}\\\\x = \dfrac{-3\pm 3 \iota}{2}$

2) x² + 3x + 12 = 0, the zeroes of the equation will be

$\rm x = \dfrac{-3\pm \sqrt{39}\iota}{2}$

3) x² + 3x + 3 = 0, the zeroes of the equation will be

$\rm x = \dfrac{-3\pm \sqrt3\iota}{2}$

4) 2x² + 6x + 3 = 0, the zeroes of the equation will be

$\rm x = \dfrac{-6\pm 2\sqrt{3}}{4}\\\\x = \dfrac{-3\pm \sqrt3 }{2}$

More about the quadratic equation link is given below.

brainly.com/question/2263981

4 0

2 years ago

The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- <em>First value of h</em>

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ <em> ------ Second value of h</em>

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

4 years ago

A blueprint of a building gives a scale of 1 in. = 8 ft. If the blueprint shows the building sitting on a rectangle with dimensi

katrin [286]

So scale is 1 inch= 8 ft

so, 26 inches = 8×26 = 208 ft
and , 35 inches = 8×35 = 280 ft

so the actual area= 208×280 = 58240 sq ft !

5 0

3 years ago

Which of the following mixed numbers has a value between 6 and 7?

ser-zykov [4K]

I feel like it’s B but I’m not sure

7 0

3 years ago

7x + 20 <img src="https://tex.z-dn.net/?f=%5Cgeq" id="TexFormula1" title="\geq" alt="\geq" align="absmiddle" class="latex-formul

Contact [7]

Answer:

x ≥ -200/7 is your answer

Step-by-step explanation:

7 0

3 years ago