2 years ago

Written as a simplified polynomial in standard form, what is the result when (3x-1)^2 is subtracted from 4?

Mathematics

1 answer:

nikklg [1K]2 years ago

3 0

Answer:

3(x-1)x(3x+1)

Step-by-step explanation:

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3 years ago

Follow the steps to finish solving the equation –3x + 18 = 7x.

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3 years ago

Make use of structure. For rectangle ABCD, two vertices are A(-2, 3) and B(4, 6). Find the slopes of BC, CD, and DA. Explain you

MrRissso [65]

We are given a rectangle ABCD

A(-2, 3)

B(4, 6)

We are asked to find the slopes of sides BC, CD, and DA.

Let me first draw a rectangle to better understand the problem

Recall that the slope is given by

$m=\frac{y_2−y_1}{ x_2−x_1}$ $\text{where}(x_1,y_1)=(-2,3)\text{and}(x_2,y_2)=(4,6)$

So the slope of side AB is

$m_{AB}=\frac{6-3}{4-(-2)}=\frac{3}{4+2}=\frac{3}{6}=\frac{1}{2}=0.5$

The sides BC and DA are perpenducluar to the side AB.

So their slopes will be

$m_{BC}=m_{DA}=\frac{1}{-m_{AB}}$

Substituting the value of slope of AB

$m_{BC}=m_{DA}=\frac{1}{-0.5}=-2$

The side CD is parallel to the side AB.

Parallel sides have equal slopes so

$m_{CD}=m_{AB}=\frac{1}{2}$

Therefore, the slopes of the rectangle ABCD are

$\begin{gathered} m_{AB}=m_{CD}=\frac{1}{2} \\ m_{BC}=m_{DA}=-2 \end{gathered}$

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1 year ago