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3 years ago

PLEASE HELP 45 points

Mathematics

2 answers:

34kurt3 years ago

6 0

Answer:

B: The scale factor is 0.25.

C: The length of side A is 8.75 cm.

E: The length of side B is 6.25 cm.

Step-by-step explanation:

To find the answer of 8.75 in C multiply 35 x .25

To find E multiply 25 by .25.

And the scale factor is .25 becuase the original is 1/4 the new perimeter.

frozen [14]3 years ago

3 0

scale factor is 25 and side a is 8.75

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Aliun [14]

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$x^{3}+7 x^{2}+12 x=0$

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Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

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$x^{3}+7 x^{2}+12 x=0$

$x\left(x^{2}+7 x+12\right)=0$ ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

$x^{2}+7 x+12=0$

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

$\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}$

Therefore, the two roots are:

$\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}$

And,

$\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}$

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

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