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noname [10]
3 years ago
13

Hey, i need help with these (image attached)

Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

1. (3/5a^3b -5/6ab^3)^2

2. (x/3 +y/5)^2

Step-by-step explanation:

As you know, the square of a binomial expands like this:

(p +q)^2 = p^2 +2pq +q^2

The two "end" terms of the expansion are the squares of the terms of the binomial, and the middle term of the expansion is twice the product of the binomial terms (with the same sign as the binomial).

So, you can work this by ...

• check to see if the "end" terms are perfect squares. If they are, write the binomial as their sum, with the sign of the middle term

• check to see if the middlt term is double the product of the two binomial terms you just wrote. If it is, complete the problem by indicating the square of that binomial.

___

1. The square root of 9/25a^6b^2 is 3/5a^3b, so that will be one term of the binomial.

The square root of 25/36a^2b^6 is 5/6ab^3, so that will be the other term of the binomial. The sign of the middle term -a^4b^4 is negative, so our binomial is ...

(3/5a^3b -5/6ab^3)

The product of these two terms is (-1/2)a^4b^4, and the given middle term is twice that. The given trinomial is the square ...

9/25a^6b^2 -a^4b^4 +25/36a^2b^6 = (3/5a^3b -5/6ab^3)^2

___

2. The square root of 1/9x^2 is x/3. The square root of 1/25y^2 is y/5. The middle term, 2/15xy, is double the product of these terms, so the expression is the square ...

1/9x^2 +2/15xy +1/25y^2 = (x/3 +y/5)^2

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Use the given endpoint R and the midpoint M of segment RS to find the coordinates of the other endpoint S. (Hint: Use the midpoi
zimovet [89]

Using the given endpoint R  (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)

Explanation :

Use the given endpoint R and the midpoint M of segment RS

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Let 'S' be (x2,y2)

Apply the midpoint formula

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\

Endpoint R is (x1,y1) that is (8,0)

Substitute the values and make it equal to M(4,-5)

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\\(\frac{8+x_2}{2},\frac{0+y_2}{2} )=(4,-5)\\\\\frac{8+x_2}{2}=4\\8+x_2=8\\x_2=8-8=0\\x_2=0\\\\\\\frac{0+y_2}{2} =-5\\y_2=-10

So other endpoint S is (0,-10)

Learn more : brainly.com/question/16829448

8 0
3 years ago
Is y=x2-1 linear or nonlinear
Kazeer [188]

Answer:

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6 0
3 years ago
Can you solve 5a please greatly appreciated.
timurjin [86]
Part I)
 
The module of vector AB is given by:
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 Part (ii)
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 lEFl = root ((5) ^ 2 + (e) ^ 2)
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 lEFl = 3lABl
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 root ((5) ^ 2 + (e) ^ 2) = 15
 Clearing e have:
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 (e) ^ 2 = 15 ^ 2 - 5 ^ 2
 e = root (200)
 e = root (2 * 100)
 e = 10 * root (2)
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3 years ago
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grandymaker [24]
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4 0
2 years ago
-112/3 x (-4 1/5) =?
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3 0
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