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quester [9]
3 years ago
14

Solve.

Mathematics
1 answer:
bixtya [17]3 years ago
7 0

Answer:

-3 ± 2\sqrt{3} = x

Step-by-step explanation:

x² + 6x + 9 = 12 → x² + 6x - 3

Since this Quadratic Expression is unfactorable, apply the <em>Quadratic</em><em> </em><em>Formula</em>:

x = -b ± \frac{\sqrt{{b}^{2} - 4ac}}{2a}

-6 ± \frac{\sqrt{{6}^{2} - 4(1)(-3)}}{2(1)} =   -6 ± \frac{\sqrt{36 + 12}}{2} = -6 ± \frac{\sqrt{48}}{2} \\ \\ -3 ± 2\sqrt{3}

√48 = √[3 × 16] = 4√3

½[4√3] = 2√3

Then attach half of -6 to it as well [-3]:

-3 ± 2√3

I am joyous to assist you anytime.

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A can do a piece of work in 4 hours and B can do it in 6 hours. How much time would they take working together to finish the wor
Kipish [7]

Answer:

2.4 hours

Step-by-step explanation:

Let total work = X

Rate of work done = X ÷ time

Rate of A = X/4

Rate of B = X/6

If they work together, rate is the sum of their individual rates, i.e.

X/4 + X/6

= (3X + 2X)/12 (taking LCM)

=5X/12

Rate = X/time

5X/12 = X/time

time = X÷(5X/12)

time = X × 12/(5X)

time = 2.4 hours

Shortcut:

Product of individual times/sum of individual times

= (4×6)/(4+6)

=24/10

=2.4 hours

8 0
3 years ago
Read 2 more answers
Which line is parallel to the line 8x + 2y = 12?<br> 19
Katen [24]

Answer:

4x + y =6

Step-by-step explanation:

Line 8x + 2y = 12 is parallel to the line 4x + y = 6.

7 0
3 years ago
Can you help me with this question please?
AfilCa [17]

Answer:

(1, -3)

Step-by-step explanation:

You can see where the two lines intersect - that's the solution.

5 0
3 years ago
Is (x+5)2 equivalent to 2x2+10x +10? Explain why or<br> why not?
Rzqust [24]

Answer:

no

Step-by-step explanation:

no because its equal to 2x+10

4 0
3 years ago
Pls help i dont know the answer to this
Dahasolnce [82]

Answer:

4 1/12

Step-by-step explanation:

make all the denominators 12 so u can add them easier

2 1/12 + 2 4/12 + 3 2/12 = 7 7/12

nn subtract from the 11 2/3

11 8/12 - 7 7/12 = 4 1/12

7 0
2 years ago
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