2 years ago

Quadrilateral ABCD was dilated by a scale factor of 0.7 with

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

3 0

Answer:

Step-by-step explanation:

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2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

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2 years ago

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6 1 2 3 + + 2 3 4 Situation: Find the value of this fraction computation: 6(1/2+3/4+2/3)

MArishka [77]

Answer:

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Step-by-step explanation:

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2 years ago

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Solve the quadratic equation: 2 + 4 = 0

dalvyx [7]

Answers is 6=0 I think.

$2 + 4 = 0 \\ 6 = 0$

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3 years ago

Choose the formula for the volume of a rectangular box, V = lwh written in terms of w.

I am Lyosha [343]

Answer:

A w=V/ lh

b) 8cm

Step-by-step explanation:

w=V/ lh

w= 120/(3×5)

w= 120/15 = 8cm

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