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EastWind [94]
3 years ago
15

3√10 x 2√15 = i need the steps too please it’s for algebra 2.

Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer:

30√6

Step-by-step explanation:

3√10 ×2√15= 6√150=30✓6

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Solve 2x2 + 20x = −38.
cestrela7 [59]
2x^2+20x=-38  divide both sides by 2

x^2+10x=-19, halve the linear coefficient, square it, than add that value to both sides of the equation, in this case add (10/2)^2=25...

x^2+10x+25=6  now the left side is a perfect square

(x+5)^2=6  take the square root of both sides

x+5=±√6  subtract 5 from both sides

x=-5±√6    (so answer c.)
4 0
3 years ago
Please help CANT MISS ANYMORE!
dsp73

Given points,

(x1,y1)=(2,9)

(x2,y2)=(10,6)

now the distance between two points is,

d = \sqrt{ {(x2 - x1)}^{2} +  {(y2 - y1)}^{2} }  \\  =  \sqrt{  {(10 - 2)}^{2} +  {(6 - 9)}^{2}  }  \\  =  \sqrt{ {8}^{2} +  {( - 3)}^{2}}  \\  =  \sqrt{64  + 9}  \\  =  \sqrt{73 \:}  \: units

3 0
3 years ago
Two equivalent expressions for 7x.
scoundrel [369]

Answer:

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

Step-by-step explanation:

Instructions! If you still dont get it Visit KhanAcademy.com! ^w^

6 0
3 years ago
Read 2 more answers
Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points)
Svetlanka [38]

Answer:

(See explanation for further details)

Step-by-step explanation:

a) Let consider the polynomial p(x) = 5\cdot x^{3} +2\cdot x^{2} - 6 \cdot x +17. The polynomial is in standards when has the form p(x) = \Sigma \limit_{i=0}^{n} \,a_{i}\cdot x^{i}, where n is the order of the polynomial. The example has the following information:

n = 3, a_{0} = 17, a_{1} = -6, a_{2} = 2, a_{3} = 5.

b) The closure property means that polynomials must be closed with respect to addition and multiplication, which is demonstrated hereafter:

Closure with respect to addition:

Let consider polynomials p_{1} and p_{2} such that:

p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i} and p_{2} = \Sigma \limits_{i=0}^{n}\,b_{i}\cdot x^{i}, where m \geq n

p_{1}+p_{2} = \Sigma \limits_{i=0}^{n}\,(a_{i}+b_{i})\cdot x^{i} + \Sigma_{i=n+1}^{m}\,a_{i} \cdot x^{i}

Hence, polynomials are closed with respect to addition.

Closure with respect to multiplication:

Let be p_{1} a polynomial such that:

p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}

And \alpha an scalar. If the polynomial is multiplied by the scalar number, then:

\alpha \cdot p_{1} = \alpha \cdot \Sigma \limits_{i = 0}^{m}\,a_{i}\cdot x^{i}

Lastly, the following expression is constructed by distributive property:

\alpha \cdot p_{1} = \Sigma \limits_{i=0}^{m}\,(\alpha\cdot a_{i})\cdot x^{i}

Hence, polynomials are closed with respect to multiplication.

4 0
3 years ago
Solve each of the quadratic equations 3x=0.5x2
aalyn [17]

Answer:

3x = 1   \\ x =  \frac{1}{3}

6 0
3 years ago
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