3 years ago

Square root of 72x^2 z^3

Mathematics

1 answer:

Ivanshal [37]3 years ago

5 0

The answer would be 6xz sqr2z

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Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, the

Kazeer [188]

Answer:

$m=-\frac{1}{6}$

$b=5$

Step-by-step explanation:

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-6,\:6\right),\:\left(x_2,\:y_2\right)=\left(12,\:3\right)$

$m=\frac{3-6}{12-\left(-6\right)}$

$m=-\frac{1}{6}$

As the equation in point-slope form

$y-y_1=m\left(x-x_1\right)$

Here:

m is the slope and

$\left(x_1,\:y_1\right)$ is a point on the line

using $m=-\frac{1}{6}$ and $\left(x_1,\:y_1\right)=\left(-6,\:6\right)$ then

$y-6=-\frac{1}{6}\left(x-\left(-6\right)\right)$

$-\frac{1}{6}\left(x-\left(-6\right)\right)=y-6$

$\mathrm{Multiply\:both\:sides\:by\:}-6$

$\left(-\frac{1}{6}\left(x-\left(-6\right)\right)\right)\left(-6\right)=y\left(-6\right)-6\left(-6\right)$

$x+6=-6y+36$

$x+6-36=-6y$

$x-30=-6y$

$\frac{x-30}{-6}=\frac{-6y}{-6}\:$

$y=\frac{-1}{6}x+5$

Thus

$y=\frac{-1}{6}x+5$

comparing the equation with the slope-intercept form

$y=mx+b$

so,

$y=mx+b$

$y=\frac{-1}{6}x+5$

Therefore,

$m=-\frac{1}{6}$

$b=5$

5 0

4 years ago

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Using a = 5, b = 12 and c = 13, is triangle ABC a right angle triangle? Yes or No

Artist 52 [7]

yes of course it is bro .

6 0

4 years ago

Solve multi-step equations with various solution sets (7th grade):<br><br> 6x + 4 = 2(3x - 5)

Lerok [7]

Answer:

X =0

Step-by-step explanation:

6x + 4 = 6x-10

6x - 6x = -10 - 4

0 ≠ -14

3 0

3 years ago

Rearrange the formula to make the letter in the square bracket the subject <br> y= 3x - 5 (x)

patriot [66]

Answer:

y= 3x - 5

y+5 = 3x

x = (y+5)/3

8 0

3 years ago

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The position of an object attached to a spring is given by y(t) = cos(5t) − sin(5t), where t is time in seconds. In the first 4

fredd [130]

Answer:

Step-by-step explanation:

The object reaches an extreme position 6 times in the first 4 seconds. At each of those positions, the velocity is zero (as it changes sign).

5 0

3 years ago