3 years ago

Plzzz help !!

Mathematics

1 answer:

irga5000 [103]3 years ago

4 0

Answer: 14 tons and $3,860.50

Step-by-step explanation:

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Which expression is equivalent to 4 square root 6 divided by 3 root 2

denis-greek [22]

Answer:

The expression is equivalent to 4 square root 6 divided by 3 root 2 is:

8/3

Step-by-step explanation:

Given expression:

4 square root 6 divided by 3 root 2

$\frac{4\sqrt{6}}{3\sqrt{2} }$

$=\frac{4\sqrt{2*2*2}}{3\sqrt{2} }$

$=\frac{4\sqrt{2*2^{2} }}{3\sqrt{2} }$

square root of 2² = 2 hence,

$=\frac{4*2\sqrt{2}}{3\sqrt{2} }$

$=\frac{8\sqrt{2}}{3\sqrt{2} }$

Common terms in the numerator and denominator cancels each other out

$=\frac{8}{3}$

By solving the expression using simple mathematical rules, we got an equivalent expression of

$\frac{4\sqrt{6}}{3\sqrt{2} } = \frac{8}{3}$

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3 years ago

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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,

inn [45]

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points A(-6, 6) and B(12, 3). Substitute:

$m=\dfrac{3-6}{12-(-6)}=\dfrac{-3}{18}=-\dfrac{3:3}{18:3}=-\dfrac{1}{6}$

Therefore we have $y=-\dfrac{1}{6}x+b$ .

Put the coordinates of the point B to the equation:

$3=-\dfrac{1}{6}(12)+b$

$3=-2+b$ add 2 to both sides

$5=b\to b=5$

Answer:

$m=-\dfrac{1}{6}\\\\b=5$

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Step-by-step explanation:

It is in the thousands place

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I added 935 +832 and got 1,767

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