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Salsk061 [2.6K]
3 years ago
9

Which expression is equivalent to 6x3 + 3y2 – 5x3 + 2y2?

Mathematics
1 answer:
iVinArrow [24]3 years ago
4 0
The answer is C because 6X^3 minus 5X^3 is just X^3 and 3Y^2 plus 2Y^2 is 5Y^2.
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Find an exact value.
leonid [27]

Answer:

(√2 - √6) / 4

C. square root of two minus square root of six divided by four.

Step-by-step explanation:

sine of negative eleven pi divided by twelve.

We have :

sin(-11π/12)

sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)

sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)

Recall:

Angle difference formula:

sin(A - B) = sinAcosB - sinBcosA

Hence,

sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)

From trigonometry:

sinπ/3 = √3/2

cos5π/4 = -√2/2

sin5π/4 = -√2/2

cos π/3 = 1/2

(√3/2) (-√2/2) − (-√2/2) (1/2)

-√6/4 - -√2/4

-√6/4 + √2/4

√2/4 - √6/4

(√2 - √6) / 4

7 0
3 years ago
A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the c
ElenaW [278]

Answer:

$49.12

Step-by-step explanation:

8 0
3 years ago
A system of equations and its solution are given below.
ddd [48]

Answer:

a would be correct

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use the rational root theorem to list all possible rational roots for the equation.
Alik [6]

Answer:

The possible rational roots are

\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}

Step-by-step explanation:

We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.

The factors of constant term are 1, 2, 3,6

The factors of leading coefficient are  1,3,

From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

\pm\frac{1,2,3,6}{1,3}\\\\ =\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}


5 0
3 years ago
Read 2 more answers
A toy is in the form of a cone mounted on a hemisphere of common base radius 7cm. The total height of the toy is 31cm. What's th
Rudiy27

\huge\tt\pink{Answer}

A≈852.83cm²

<em>Radius</em>

7cm

<em>Height</em>

31cm

8 0
3 years ago
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