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2 years ago

9

Solve the following equation using the liquid liquid associative property use the following charts to determine wheather this is

rational or irrational

2 answers:

kari74 [83]2 years ago

8 0

Answer:

is is to be assumed that the equation is rational

Step-by-step explanation:

adell [148]2 years ago

6 0

Hmm this seem rather complicated would you send me more details

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3 years ago

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matrenka [14]

Answer:

$y = -\frac{3}{2}x+15$

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

$y = \frac{2}{3}x$

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

$y = \frac{2}{3}x$

Now, we compare the given equation by standard form $y = mx +c$

So, slope of the line $m_{1} = \frac{2}{3}$ , and

y-intercept $c=0$

We know that the slope of the perpendicular line $m_{1}\times m_{2} = -1$

$m_{2}=-\frac{1}{m_{1}}$

$m_{2}=-\frac{1}{\frac{2}{3} }$

$m_{2}=-\frac{3}{2}$

So, the slope of the perpendicular line $m_{2}=-\frac{3}{2}$

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

$y=mx+c$

Substitute point $P(x_{1}, y_{1})=P(6, 6)$ and $m = m_{2}=-\frac{3}{2}$

$6=-\frac{3}{2}\times 6 +c$

$6=-3\times 3 +c$

$c=6+9$

$c=15$

So, the y-intercept of the perpendicular line $c=15$

Using point slope formula.

$y=mx+c$

Substitute $m = m_{2}=-\frac{3}{2}$ and $c=15$ in above equation.

$y = -\frac{3}{2}x+15$

Therefore: the equation of the perpendicular line $y = -\frac{3}{2}x+15$

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3 years ago

Determine the standard variation of the data below. (1, 2, 3, 4, 5)

Ne4ueva [31]

Calculate for the mean/ average of the given numbers:

μ = (1 + 2 + 3 + 4 + 5) / 5 = 3

Then, we calculate for the summation of the squares of differences of these numbers from the mean, S

S = (1 - 3)² + (2 - 3)² + (3 - 3)² + (4 - 3)² + (5 - 3)²
S = 10

Divide this summation by the number of items and take the square root of the result to get the standard deviation.

SD = sqrt (10 / 5) = sqrt 2
SD = 1.41

Thus, the standard deviation of the given is equal to 1.41.

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3 years ago

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Liono4ka [1.6K]

4^-3

You first need to make the exponent positive. To do this put it in a fraction.

1/4^3

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4 * 4 * 4 =
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Ben has a 40% chance of being selected as the president of the school sports club and a 70% chance of being elected editor of th

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40% x 70% will give you the answer in percent.
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