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andriy [413]
2 years ago
13

PLEASE HELP. DON’T NEED DEEP EXPLANATION JUST ANSWERS.

Mathematics
1 answer:
vladimir2022 [97]2 years ago
7 0

Answer:

\large {\textsf{B and E}}\ \implies x_1=-2\sqrt{5}-3,\ x_2=+2\sqrt{5}-3

Step-by-step explanation:

<u>Quadratic Formula:</u> x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

<u>Quadratic Equation:</u> ax² + bx + x = 0, where a ≠ 0

<u>Given equation:</u> x² + 6x + 9 = 20

<u>Step 1:</u> Subtract 20 from both sides.

x² + 6x + 9 - 20 = 20 - 20

⇒ x² + 6x - 11 = 0

<u>Step 2:</u> Identify the values of <em>a</em>, <em>b</em>, and <em>c</em> and substitute them in the formula.

⇒ a = 1, b = 6, c = -11

x=\dfrac{-6\pm\sqrt{\bold{6^2}-4(1)(-11)}}{\bold{2(1)}}\\\\x=\dfrac{-6\pm\sqrt{36\bold{\ - \ 4(-11)}}}{2}\\\\x=\dfrac{-6\pm\sqrt{\bold{36+44}}}{2}\\\\x=\dfrac{-6\pm\sqrt{80}}{2}\\\\x=\dfrac{-6\pm\sqrt{16\times5}}{2}\implies \dfrac{-6\pm\sqrt{\bold{16}}\times\sqrt{5}}{2} \\\\x=\dfrac{-6\pm4\sqrt{5}}{2}

<u>Step 3:</u> Separate into possible cases.

x_1=\dfrac{-6-4\sqrt{5}}{2}\implies \dfrac{-6}{2}+\dfrac{-4\sqrt{5}}{2}\implies \boxed{-3-2\sqrt{5}\ \ \textsf{or}\ -2\sqrt{5}-3}\\\\x_2=\dfrac{-6+4\sqrt{5}}{2}\implies \dfrac{-6}{2}+\dfrac{4\sqrt{5}}{2}\implies \boxed{-3+2\sqrt{5}\ \ \textsf{or}\ \ 2\sqrt{5}-3}

Learn more about quadratic equations here:

brainly.com/question/27988045

brainly.com/question/27031173

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4x - (-6) what’s the answer
OlgaM077 [116]

Answer:

4x + 6

Step-by-step explanation:

If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!

3 0
3 years ago
What is the surface area?​
Alchen [17]

Answer:

SA: 1575.2

Step-by-step explanation:

(22)(22) + (26)(22) = (23.6)(22)

484 + 572 + 519.2 = 1575.2

I hope I helped you ;)

6 0
3 years ago
No Links plz<br> help plzz<br> (0000.7x4x6+8to the power of 2)x(16x 8 to the power of 8x5+2)
valentina_108 [34]

Answer:

80.8

Step-by-step explanation: 0.7x4x6=16.8

16.8+8 to the 2nd power= 80.8

6 0
2 years ago
The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi
Rom4ik [11]

Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

\displaystyle A=\frac{bh}{2}

\displaystyle A=\frac{(h+9)h}{2}

And its value is 180:

\displaystyle \frac{(h+9)h}{2}=180

Multiplying by 2:

(h+9)h=360

Operating:

h^2+9h-360=0

Factoring:

(h-15)(h+24)=0

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0
3 years ago
Simplify the expression. |5| - |-4|
mylen [45]

Answer:

1

Step-by-step explanation:

Absolute value means take what is inside and make it positive

|5| - |-4|

5 - 4

1

6 0
3 years ago
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