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3 years ago

Explain why the polynomial 144x2 − 200x + 81 is not a perfect square.

1 answer:

5 0

The square root of 144x^2 = 12 x
and square root of + 81 = 9 or -9

if this polynomial were a perfect square then its factors would be
(12x - 9)(12x - 9)

but its not a perfect squre because (12x - 9)(12x - 9) = 144x^2 - 216x + 81.

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3 years ago

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What is an equation of the line that passes through the points (0, 3) and (5,-3)?

Arisa [49]

Answer:

The equation of the line that passes through the points (0, 3) and (5, -3) is $y = -\frac{6}{5}\cdot x +3$ .

Step-by-step explanation:

From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:

$y = m\cdot x + b$ (Eq. 1)

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

If we know that $(x_{1},y_{1}) = (0,3)$ and $(x_{2},y_{2})=(5,-3)$ , the following system of linear equations is constructed:

$b = 3$ (Eq. 2)

$5\cdot m + b = -3$ (Eq. 3)

The solution of the system is: $b = 3$ , $m = -\frac{6}{5}$ . Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is $y = -\frac{6}{5}\cdot x +3$ .

5 0

3 years ago

Find the vertex of: y=6(x-1)2-8<br> (x,y)

Pepsi [2]

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
y=a(x-{{ h}})^2+{{ k}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-----------------------------\\\\
\begin{array}{lllcll}
y=&6(x-&1)^2&-8\\
&\uparrow &\uparrow &\uparrow \\
&a&h&k
\end{array}$

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2 years ago

What is 2 and negative three using integers

Darina [25.2K]

If you mean "how to write the sum", the answer is

$2+(-3)$

The result of this sum is $-1$ , because you start from 2 on the number line and take 3 steps to the left (negative integers mean going left, positive integers mean going right)

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3 years ago

What happens to the value of the expression 5/x+5 as x decreases from a large positive number to a small positive number?

Tresset [83]

option 2. it increases

because as x decrease 5/x will increase which will overall increase the expression value

6 0

3 years ago