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VLD [36.1K]
3 years ago
5

49x^2 + 42xy + 9y^2 Factor completely.

Mathematics
2 answers:
Oduvanchick [21]3 years ago
8 0
49x^2+42xy+9y^2

To factor a quadratic of the form ax^2+bx+c, you must find two values, j and k, which satisfy two conditions:

jk=ac=441 and j+k=42, so j and k must be 21 and 21.

Now replace bx with jx and kx in the original equation.

49x^2+21xy+21xy+9y^2  now factor 1st and 2nd pair of terms...

7x(7x+3y)+3y(7x+3y)  which is equal to

(7x+3y)(7x+3y)  which is equal to

(7x+3y)^2
mario62 [17]3 years ago
6 0
(7x-3y)^2 hope this helps
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4 0
3 years ago
Use Cramers Rule to solve the system <br> 2x - 3y = 11<br> -6x + 8y = 34
Nastasia [14]

Step-by-step explanation:

given :

2x - 3y = 11

-6x + 8y = 34

find : the solutions of the system by using Cramers Rule.

solutions:

in the matrix 2x2 form =>

[ 2 -3] [x] [11]

=

[-6 8] [ y] [34]

D =

| 2 -3 |

|-6 8 |

= 8×2 - (-3) (-6)

= 16-18 = -2

Dx = | 11 -3 |

| 34 8 |

= 11×8 - (-3) (34)

= 88 + 102

= 190

Dy = | 2 11 |

|-6 34 |

= 2×34 - (-6) (11)

= 68 + 66

= 134

x = Dx/D = 190/-2 = -95

y = Dy/D = 134/-2 = -67

the solutions = {-95, -67}

8 0
3 years ago
Read 2 more answers
Simplify. (-7y^2+4y+9)+(6y^2-5y+9)-(2y^2-9y-2)
Natali5045456 [20]

Combine like terms

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4y + (-5y) - (-9y) = 4y - 5y + 9y = 8y

9 + 9 - (-2) = 9 + 9 + 2 = 20

-3y² + 8y + 20 is your answer

hope this helps

7 0
3 years ago
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Ksivusya [100]

Step-by-step explanation:

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viva [34]

Answer:

OF

Step-by-step explanation:

Since the arcs are congruent, the lines intercepting them are congruent, and you will get 2 congruent right triangles. So OA is congruent to OF by CPCTC.

7 0
3 years ago
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