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amid [387]
3 years ago
10

Factorise fully : 4(x - y)^2 - 9(x + y)^2​

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0

Answer:

- ( 5x + y ) ( x + 5y )

or

-5x^2 - 5y^2 - 26xy

Archy [21]3 years ago
4 0

Answer:

Step-by-step explanation:

4(x^2-2xy+y^2)-9(x^2+2xy+y^2)

4x^2-8xy+4y^2-9x^2-18xy-9y^2

-5x^2-26xy-5y^2

-5x^2-xy-25xy-5y^2

-x(5x+y)-5y(5x+y)

(-x-5y)(5x+y) or you can also remove the negative one to get

-(x+5y)(5x+y)

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Please see the photo. It's not 4 or 6.
Verdich [7]

Answer:

x = 9

Step-by-step explanation:

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

5(x - 6 + 5) = 4(x - 3 + 4)

5(x - 1) = 4(x + 1) ← distribute parenthesis on both sides

5x - 5 = 4x + 4 ( subtract 4x from both sides )

x - 5 = 4 ( add 5 to both sides )

x = 9

4 0
3 years ago
Read 2 more answers
Problem is in the attached picture. Thanks in advance!
bogdanovich [222]

Answer:

Width= 120 ft

Length= 285 ft

Step-by-step explanation:

W= width and (3w-75)= length since it's 75 less than 3 times the width

w+w+(3w-75)+(3w-75)=810

8w-150=810

8w=960

w=120

So the width is 120 ft

Then substitute the 120 in for w in the length

L= 3(120)-75

L=360-75

L=285

So the length is 285 ft

You can check because 120+120+285+285=810, and because 120×3-75=285!

6 0
3 years ago
Evaluate 4c + 8 when c = 2
Wittaler [7]

Answer:

16

Step-by-step explanation:

4c + 8

Replace 'c' with 2 and evaluate:

4(2) + 8

8 + 8

16

Hope this helps.

8 0
3 years ago
Read 2 more answers
Write an equation of the line passing through the point (-6,-7)with slope=4.
MAVERICK [17]
And how would I do that via computer? If this is homework, do it your self, it's not that hard. Draw it and scan it (man computer doesn't have the ability to scan things)
5 0
3 years ago
Read 2 more answers
the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length​
s2008m [1.1K]

Answer:

The PERIMETER P is the distance around the rectangle.

Let's call the width of the rectangle W and the length of the rectangle L.

As you go around the edge there two equal lengths and two equal widths.

The formula for the perimeter of a rectangle is P=2*L+2*W.

P=2L%2B2W

Substitute 290 for P and 62 for the width.

290=2L%2B2%2862%29

Solve for L.

290=2L%2B2%2862%29

290=2L%2B124

290-124=2L

2L=166

L=83

The equation L=83 means that the length is 83 cm.

CHECK your work.

2(62)+2(83) = 124+166 = 290cm.

The length of the rectangle is 83cm.

5 0
3 years ago
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