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UkoKoshka [18]
3 years ago
6

Solve the quadratic equation 3x²+2x-4=0

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello,

\Delta = 2^2-4*3*(-4)= 4+48=52

so the two solutions are

\dfrac{-2+2\sqrt{13}}{2*3}=\dfrac{\sqrt{13}-1}{3}=0.87\\\\\dfrac{-2-2\sqrt{13}}{2*3}=-\dfrac{\sqrt{13}+1}{3}=-1.54\\\\

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The sum of the digits of a two-digit number is 10. When the digits are reversed, the new number is 18 less than the original num
eimsori [14]
<h3>Answer:</h3>

64

<h3>Explanation:</h3>

6+4= 10

Then reverse the digits of 64, and you have 46

64-46= 18

3 0
4 years ago
(06.05) Families were surveyed to see how they spent summer vacation. The results are as follows: One or more children below age
uranmaximum [27]
<span>Families were surveyed to see how they spent summer vacation.
The results are as follows:
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1 or more children < 16       30                16                           44
All children 16 or older        22                60                            28

I'll just make my own two-way relative frequency table. A two-way relative frequency table is called such because each value is computed based on the total of the number of the whole table.
I'll just use codes to make the table fit in this screen.

                A        B       C          TOTAL
1             </span>30      16      <span>44            90</span><span>
2             </span>22      60      <span>28           110   </span><span>
TOTAL    52      76      72           200

Two-way relative frequency table:
  
</span><span>                A                              B                          C                TOTAL
1             </span>30/200=0.15      16/200=0.08      44/200=0.22    90/200=0.45<span>
2             </span>22/200=0.11      60/200=0.30      28/200=0.14   110/200=0.55   <span>
TOTAL    52/200=0.26      76/200=0.38     72/200=0.36    200/200=1.00
</span><span>
Among the given choices, my answer would be the 1st choice.

</span><span>Summer vacation Camping Traveling out of state Activities in local area Row totals At least one child under 16 0.15 0.08 0.22 0.45 All children 16 or older 0.11 0.30 0.14 0.55 Column totals 0.26 0.38 0.36 1 
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3 years ago
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What is the relationship between the length of one leg and the length of the hypotenuse of an isosceles right triangles?
Ipatiy [6.2K]

Answer:

B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.

An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.

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Substituting a for b, we have

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Answer: B) Hypotenuse = Leg ∙ √2

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Answer:

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Step-by-step explanation

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Answer:

b

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8 0
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