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RUDIKE [14]
3 years ago
6

The sides of ABC are 30 units, 40 units, and 60 units in length. If the corresponding sides of XYZ are r times as long as the si

des of ABC, which expression gives the perimeter of XYZ? 130r 3 x 130r
Mathematics
1 answer:
Inga [223]3 years ago
4 0
Since each side is r times the side of ABC, then 30*r+40*r+60*r is the perimeter, which equals 130r (by separating it into r*(30+40+60) using the distributive property)
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Answer:

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Option C is correct.

3) The factors of  x^2+2x-8=0 are \mathbf{(x-2)(x+4)=0}

Option B is correct.

Step-by-step explanation:

1) Factor : x^2-3x+2=0

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : -3x

We can break them as (-2x)( -x)

Solving:

x^2-3x+2=0\\x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0

So, factors of  x^2-3x+2=0 are \mathbf{(x-1)(x-2)=0}

Option C is correct.

3) Factor: x^2+2x-8=0

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : 2x

We can break them as (4x)( -2x)

Solving

x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x-2)(x+4)=0

So, factors of  x^2+2x-8=0 are \mathbf{(x-2)(x+4)=0}

Option B is correct.

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