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Alexus [3.1K]
3 years ago
7

Write as a square of a binomial: 4.8xy+36y^2+0.16 i will give brainliest plz solve

Mathematics
1 answer:
Sonja [21]3 years ago
5 0

Answer:

(0.4x + 6y)^2

Step-by-step explanation:

Given

4.8xy+36y^2+0.16x^2

Required

Express as a binomial squared

4.8xy+36y^2+0.16x^2

Rewrite as:

0.16x^2+4.8xy+36y^2

Expand

0.16x^2 + 2.4xy + 2.4xy + 36y^2

Factorize:

0.4x(0.4x + 6y) + 6y(0.4x + 6y)

Factor out 0.4x + 6y

(0.4x + 6y)(0.4x + 6y)

Express as a square:

(0.4x + 6y)^2

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You buy the same pair of pants in 3 different colors for $89.85. How much does each pair of pants cost?​
Kazeer [188]

Answer:

$29.95

Step-by-step explanation:

89.85 divided by 3 is 29.95

5 0
3 years ago
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Find the absolute maximum and minimum values of f on the set D. f(x,y)=2x^3+y^4, D={(x,y) | x^2+y^2<=1}.
castortr0y [4]

Answer:

absolute maximum is f(1, 0) = 2 and the absolute minimum is f(−1, 0) = −2.

Step-by-step explanation:

We compute,

$ f_x = 6x^2, f_y=4y^3 $

Hence, $ f_x = f_y = 0 $  if and only if (x,y) = (0,0)

This is unique critical point of D. The boundary equation is given by

$ x^2+y^2=1$

Hence, the top half of the boundary is,

$ T = \{ x, \sqrt{1-x^2} : -1 \leq x \leq 1\}

On T we have, $ f(x, \sqrt{1-x^2} = 2x^3 +(1-x^2)^2 = x^4 +2x^3-2x^2+1  \text{ for}\ -1 \leq x \leq 1$

We compute

$ \frac{d}{dx}(f(x, \sqrt{1-x^2}))= 4x^3+6x^2-4x = 2x(2x^2+3x-2)=2x(2x-1)(x+2)=0$

0 if and  only if x=0, x= 1/2 or x = -2.

We disregard  $ x = -2 \notin [-1,1]$

Hence, the critical points on T are (0,1) and $(\frac{1}{2}, \sqrt{1-(\frac{1}{2})^2}=\frac{\sqrt3}{2})$

On the bottom half, B, we have

$ f(x, \sqrt{1-x^2})= f(x,-\sqrt{1-x^2})$

Therefore, the critical points on B are (0,-1) and $( 1/2, -\sqrt3/2)  

It remains to  evaluate f(x, y) at the points $ (0,0), (0 \pm1), (1/2, \pm \sqrt3/2) \text{ and}\  (\pm1, 0)$ .

We should consider  latter two points, $(\pm1,0)$, since they are the boundary points for the T and also  B. We compute $ f(0,0)=0, \ \f(0 \pm1)=1, \ \ f(0, \pm \sqrt3/2)=9/16, \ \ f(1,0 )= 2 \text{ and}\ \ f(-1,0)= -2 $

We conclude that the  absolute maximum = f(1, 0) = 2

And the absolute minimum = f(−1, 0) = −2.

6 0
3 years ago
Solve for a.
Shalnov [3]

Answer:

the answer is -3

Step-by-step explanation:

1. add the -4 to 10 (-10 + 4)

2. -6= 2a

3. divide both sides by 2

4. -3= a

hope this helps

3 0
3 years ago
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Can someone please help me on these 4 questions PLEASE HELP ME!!
Harrizon [31]

Answer:4 ans x is -32/10

7 ans b  is 6

10 ans x is 25/7

13 ans x is 9/2

Step-by-step explanation:

4 0
3 years ago
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What is the x value of the triangle 3x-5, 2x+20, 4x-30
docker41 [41]

<u>Answer:</u>

x = 21.7°

<u>Step-by-step explanation:</u>

We know that the sum of the three angles in triangle add up to a total of 180°.

So adding the given expressions of angles and putting them equal to 180 to find the value of x:

(3x-5) + (2x+20) +(4x-30)= 180

4x+3x+2x+20-30-5=180

9x=180+30-20+5

9x=195

x=\frac{195}{9}

x=21.7

Therefore, the value of x in a triangle with angles 3x-5, 2x+20, 4x-30 is equal to 21.7°.

4 0
3 years ago
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