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Tema [17]
4 years ago
14

Solve for x

Mathematics
1 answer:
Ulleksa [173]4 years ago
8 0

Answer:

C. x = 1

Step-by-step explanation:

To solve this problem the best way is to use the quadratic formula. First make everything equal to 0 by adding 3 to both sides.

3x^2 - 6x + 3 = 0

The quadratic formula is: \frac{-b\pm\sqrt{b^2-4ac} }{2a}. Substitute the values of a, b, and c into the formula. Keep in mind:

  • a = 3
  • b = -6
  • c = 3

\frac{-(-6)\pm\sqrt{(-6)^2-4(3)(3)} }{2(3)} \rightarrow \frac{6\pm\sqrt{36-4(9)} }{6} \rightarrow \frac{6\pm\sqrt{0} }{6} \rightarrow \frac{1\pm0}{1} \rightarrow 1

Therefore, x = 1.

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These are the steps good luck

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3 years ago
Lin is playing hand ball and wants the ball
olga2289 [7]

Lin should aim the ball at 7.8 feet away from point  B

From the question (see attachment), we have the following equivalent ratios:

AB : BE = DC :CE

This is so because triangles ABE and DCE are similar triangles.

Such that:

BE + CE = 20

AB = 16

DC = 16 + 9 = 25

So, we have:

AB : BE = DC :CE

16 : BE = 25: CE

Make CE the subject in BE + CE = 20

CE=20 - BE

Substitute 20 - BE for CE in 16 : BE = 25: CE

16 : BE = 25: 20 - BE

Express as ratio

\frac{16 }{ BE} = \frac{25}{ 20 - BE}

Cross multiply

16(20 - BE) = 25BE

Open bracket

320 - 16BE = 25BE

Collect like terms

25BE + 16BE = 320

41BE = 320

Divide both sides by 41

BE = 7.8

Hence, she should aim at 7.8 feet away from point  B

Read more about similar triangles at:

brainly.com/question/14285697

8 0
3 years ago
What is the radius of a sphere with a volume of 28526 in 3 , 28526 in 3 , to the nearest tenth of an inch?
olga nikolaevna [1]

Answer:

19.0 in

Step-by-step explanation:

From the question given above, the following data were:

Volume (V) of sphere = 28526 in³

Pi (π) = 3.14

Radius (r) =?

The radius of the sphere can be obtained as follow:

V = 4/3 πr³

28526 = 4/3 × 3.14 r³

28526 = 12.56r³ / 3

Cross multiply

12.56r³ = 28526 × 3

12.56r³ = 85578

Divide both side by 12.56

r³ = 85578 / 12.56

Take the cube root of both side

r = ³√(85578 / 12.56)

r = 19.0 in

Thus, the radius of the sphere is 19.0 in

3 0
3 years ago
Two cards are drawn without replacements from a standard deck of 52 playing cards what is the probability of choosing a king for
prohojiy [21]
20% chance of drawing out of 52 because it is probly shuffeld
4 0
3 years ago
5 over 6 divided by 3 over 7 is... bc it’s asking what’s the value?
Brut [27]
35/18 or 1 17/18
Apply the fraction rule
5/6 * 7/3
Multiply
5*7/6*3
Answer
=35/18 or 1 17/18
4 0
3 years ago
Read 2 more answers
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