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juin [17]
2 years ago
10

What is equavalent to 3/9

Mathematics
2 answers:
Bogdan [553]2 years ago
4 0
1/3 is equivalent to 3/9
melisa1 [442]2 years ago
4 0

Answer:

1/3, 2/6, 4/12, 5/15,

Step-by-step explanation:

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Any help? Much appreciated ​
natulia [17]

Answer:

\frac{6+\sqrt{27} }{4-\sqrt{3} } = \frac{r+s\sqrt{3} }{13} \\We\ may\ multiply\ the\ numerator\ and\ denominator\ with\ (4+\sqrt{3} ).\\Hence,\\\frac{(6+\sqrt{27})(4+\sqrt{3})  }{13} =  \frac{r+s\sqrt{3} }{13} \\Hence,\\24+6\sqrt{3} +4\sqrt{27} +9= r+s\sqrt{3}\\24+6\sqrt{3} +4*3\sqrt{3} } +9= r+s\sqrt{3}\\24+6\sqrt{3} +12\sqrt{3}+9 = r+s\sqrt{3}\\33+18\sqrt{3} = r+s\sqrt{3}\\Hence,\\r=33, s=18

5 0
3 years ago
Dicriminant of x² – 49 = 0
Mama L [17]

Answer:

196

Step-by-step explanation:

The discriminant (Δ) is given by:

\Delta = b^2-4ac

Where the polynomial is in the form:

ax^2+bx+c=0

In this problem, a = 1, b = 0, and c = -49. Thus, plugging it into the formula:

\Delta = 0^2-4(1)(-49) = -(-196) = 196

Thus, the discriminant of x² – 49 = 0 is 196.

6 0
3 years ago
Prove that<br> 1+cosθ+sinθ/1+cosθ-sinθ = 1+sinθ/cosθ
marusya05 [52]

Step-by-step explanation:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ)

Multiply by the reciprocal:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ) × (1 + cos θ + sin θ) / (1 + cos θ + sin θ)

(1 + cos θ + sin θ)² / [ (1 + cos θ − sin θ) (1 + cos θ + sin θ) ]

(1 + cos θ + sin θ)² / [ (1 + cos θ)² − sin² θ) ]

Distribute and simplify:

(1 + cos θ + sin θ)² / (1 + 2 cos θ + cos² θ − sin² θ)

[ 1 + 2 (cos θ + sin θ) + (cos θ + sin θ)² ] / (1 + 2 cos θ + cos² θ − sin² θ)

(1 + 2 cos θ + 2 sin θ + cos² θ + 2 sin θ cos θ + sin² θ) / (1 + 2 cos θ + cos² θ − sin² θ)

Use Pythagorean identity:

(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (sin² θ + cos² θ + 2 cos θ + cos² θ − sin² θ)

(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (2 cos² θ + 2 cos θ)

(1 + cos θ + sin θ + sin θ cos θ) / (cos² θ + cos θ)

Factor:

(1 + cos θ + sin θ (1 + cos θ)) / (cos θ (1 + cos θ))

(1 + cos θ)(1 + sin θ) / (cos θ (1 + cos θ))

(1 + sin θ) / cos θ

3 0
3 years ago
What is the minimum y value of the following quadratic function? f(x) = x2 - 6x + 8
tia_tia [17]

Answer:

14

Step-by-step explanation:

k

=

c

−

b

2

4

a

We know that

a

=

1

,

b

=

−

8

and

c

=

2

, so let's substitute:

k

=

2

−

(

−

8

)

2

4

(

1

)

=

2

−

64

4

=

2

−

16

=

−

14

.

So, we have

min

=

−

14

. Let's check:

graph{(x^2 - 8x + 2 - y)(-14 -y)=0 [-11.82, 20.22, -15.38, 0.64]}

8 0
2 years ago
If I roll two six-sides dice, what is the probability that the sum of the numbers that show up on the dice is 3 or less?
liq [111]

Answer:

1/12

Step-by-step explanation:

first we have to find all the possibilities of getting a sum of 3 or less: 1+1 or 1+2 and we count the second combination 2 times because the numbers can be on either of the dices so we have a total of 3 possibilities. all the possible pairimg of dice are 6*6=36 because each dice has 6 sides and we can get either of them. so the probability would be the chance of getting a sum of 3 or less divided by all the diff combination which equals 3/36 or 1/12 which is roughly around 8.3%

4 0
2 years ago
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