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3 years ago

Factor trinomial by grouping : 10x^2-9x+2

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

8 0

Answer:

(2x - 1)(5x - 2)

Step-by-step explanation:

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is

product = 10 × 2 = 20 and sum = - 9

The factors are - 5 and - 4

Split the middle term using these factors

10x² - 5x - 4x + 2 (factor the first/second and third/fourth terms by grouping )

= 5x(2x - 1) - 2(2x - 1) ← factor out (2x - 1)

= (2x - 1)(5x - 2)

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One side of a triangle is 2 times the second side. The third side is 5 ft longer than the second side. The perimeter of a triang

TiliK225 [7]

Answer:

The length of each side of triangle are 19 ft, 24 ft and 38 ft.

Step-by-step explanation:

Let the length of second side be x.

Now given:

Length of first side is 2 times length of second side.

Length of first side = 2x

Also, Length of third side is 5 ft longer than the second side.

Length of third side = 5+x

Perimeter of triangle = 81 ft.

We need to find the length of each side.

Now perimeter of triangle is sum of all three sides of triangle.

Therefore;

Perimeter of triangle = Length of first side + length of second side + Length of third side.

$2x+x+5+x=81 ft\\4x+5=81ft\\4x= 81 -5 ft\\4x = 76ft\\x= \frac{76}{4} = 19 ft$

Length of Second Side = 19 ft.

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3 years ago

Please help due in 20 minutes!!

Nikitich [7]

Answer:

length is 15.5 and the width is 12.5

Step-by-step explanation:

Length rectangle = 3cm. longer than its width.

Rectangle perimeter = 56 cm.

find its dimensions?

P = 2L +2w

L= w + 3

P= 56

P = 2L +2w

56 = 2(w+3) +2(w)

56 = 2w +6 + 2w

4w= 56 - 6

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L= 12.5 +3 = 15.5

L= 15.5

Solution:

Length= 15.5 cm

Width = 12.5 cm

i know it looks complex but i hope this helps :)

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2 years ago

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Factor trinomial by grouping : 10x^2-9x+2​

Factor trinomial by grouping : 10x^2-9x+2