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Lubov Fominskaja [6]
1 year ago
8

Factor completely.x2 + 3xy - 4y2 - 5y + 5x

Mathematics
1 answer:
nikitadnepr [17]1 year ago
8 0

Answer: We have to factor the polynomial completely, the polynomial is:

x^2+3xy-4y^2-5y+5x

The factorized answer is:

\begin{gathered} x^2+3xy-4y^2-5y+5x\rightarrow(1) \\  \\  \\ \text{ Rewriting \lparen1\rparen gives:} \\  \\  \\ x^2-xy+4yx-4y^2+5x-5y \\  \\ \text{ Factoring out the common factors gives:} \\  \\ x(x-y)+4y(x-y)+5(x-y) \\  \\ \text{ The last step is to factor out the }(x-y): \\  \\ (x-y)(x+4y+5)\Rightarrow(2) \end{gathered}

The final answer is option(d) because (2) matches this option.

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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Salsk061 [2.6K]

When two lines intersect at 90° degrees angle, the lines are perpendicular to each other. Two perpendicular lines, their slope will give a product of -1

i.e. if the first's line slope is 5, then the second line's will be -1 ÷ 5 = -¹/₅

To find the slope of a line, we divide the vertical distance by the horizontal distance. 

We'll use the trial and error method to find the right pairing

Let's start with A(3, 3) and B(12, 6)

Vertical distance = 

Horizontal distance = 

The slope AB = ³/₉ = ¹/₃

We want BC to have a slope -1 ÷ ¹/₃ = -3

Try C(16, -6); check the slope with B(12, 6)

Vertical distance = 

Horizontal distance = 

Slope of BC = -12 ÷ 4 = -3

The slope BC = -3 is the value we want so, tile 1 pair with tile 4

-------------------------------------------------------------------------------------------------------------

Let's do A(-10, 5) and B(12, 16)

Vertical distance = 16 - 5 = 11

Horizontal distance = 12 - -10 = 22

Slope AB = ¹¹/₂₂ = ¹/₂

The perpendicular slope would be -1 ÷ ¹/₂ = -2

Try C(18, 4)  with B(12, 16)

Vertical distance = 16 - 4 = 12

Horizontal distance = 12 - 18 = -6

Slope BC = ¹²/₋₆ = -2

Slope BC and slope AB perpendicular, so tile 3 matches with tile 6

--------------------------------------------------------------------------------------------------------------

Let's try A(12, -14) and B(-16, 21)

Vertical distance = 21 - -14 = 35

Horizontal distance = -16 - 12 = -28

The slope AB = ³⁵/-₂₈ = ⁵/₋₄

We need the perpendicular slope to be -1 ÷ -⁵/₄ = ⁴/₅

Try C(-11, 25)

Vertical distance with B = 25 - 21 = 4

Horizontal distance with B = -11 - -16 = 5

The slope = ⁴/₅

Tile 7 matches tile 8

--------------------------------------------------------------------------------------------------------------

Take A(-12, -19) and B(20, 45)

Vertical distance = 45 - -19 = 64

Horizontal distance = 20 - -12 = 32

Slope AB = ⁶⁴/₃₂ = 2

We need the perpendicular slope to be -1 ÷ 2 = -¹/₂

We have C(6, 52) and checking the slope with B(20, 45)

Vertical distance = 45 - 52 = -7

Horizontal distance = 20 - 6 = 14

The slope is ⁻⁷/₁₄ = -¹/₂

Tile 9 pairs with tile 2

-----------------------------------------------------------------------------------------------------------

Conclusion

Tile 1 ⇒ Tile 4

Tile 3 ⇒ Tile 6

Tile 7 ⇒ Tile 8

Tile 9 ⇒ Tile 2

Tile 5 and Tile 10 do not have pairs

5 0
2 years ago
Find area of a square garden having a length 45m ​
Oliga [24]

Answer:

A = 2025 ft^2

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = 45^2

A = 2025 ft^2

7 0
3 years ago
Read 2 more answers
Which of the following is equivalent to 8x2+20x+
kkurt [141]
<h2>answer </h2><h2>36</h2>

<h2>i HOPE IT'S HELP </h2>

7 0
3 years ago
How to find the area of a equilateral triangle that has a perimeter of 21?
Romashka-Z-Leto [24]
First, we have to find the length of each side of triangle. Equilateral triangle means 3 sides r in same length, so each side will be 21 ÷ 3 = 7
Now we need to calculate the height of the triangle. We can do this by Pythagoras theorem
Let the height be h
(7/2)^2 + x^2 = 7^2
The area should be 6.0621778265
Or u can say 6.06 corrected to 3 sig fig
8 0
3 years ago
Help?????............
GREYUIT [131]
I’m not really for sure...but
I’d say it’s
x is negative and y is negative

Hope I’m Correct Sorry If I’m Not :)
5 0
2 years ago
Read 2 more answers
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