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3 years ago

Which is the best estimate for the quotient of 404.31 devided by 48.031 ? A. 8,000 B. 800 C. 80 D. 8 Help me plz

Mathematics

2 answers:

Novay_Z [31]3 years ago

6 0

D. is correct hope it helps

Aleksandr [31]3 years ago

5 0

I think the answer is 8. I'm sorry that I'm not 100% and I'm sorry if I'm wrong

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Find the distance between the point (-2, -3) and the line with the equation y=4-2/3x

otez555 [7]

Answer:

$D = \frac{25\sqrt{13}}{13}$

Step-by-step explanation:

Given

$y = 4 - \frac{2}{3}x$

$(x_1,y_1) = (-2,-3)$

Required

Determine the distance

$y = 4 - \frac{2}{3}x$

Write the above equation in standard form:

$Ax + By + C = 0$

So, we have:

$\frac{2}{3}x+y - 4 = 0$

By comparison:

$A = \frac{2}{3}$ $B = 1$ and $C = -4$

The distance is calculated using:

$D = \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}}$

Where:

$(x_1,y_1) = (-2,-3)$

$A = \frac{2}{3}$ $B = 1$ and $C = -4$

This gives:

$D = \frac{|\frac{2}{3} * (-2) + 1 * (-3) - 4|}{\sqrt{(\frac{2}{3})^2 + 1^2}}$

$D = \frac{|-\frac{4}{3} -3 - 4|}{\sqrt{\frac{4}{9} + 1}}$

Take LCM

$D = \frac{|\frac{-4-9-12}{3}|}{\sqrt{\frac{4+9}{9}}}$

$D = \frac{|\frac{-25}{3}|}{\sqrt{\frac{13}{9}}}$

$D = |\frac{-25}{3}|/\sqrt{\frac{13}{9}}$

$D = \frac{25}{3}/\sqrt{\frac{13}{9}}$

Split the square root

$D = \frac{25}{3}/\frac{\sqrt{13}}{\sqrt{9}}$

Change / to *

$D = \frac{25}{3}*\frac{\sqrt{9}}{\sqrt{13}}$

$D = \frac{25}{3}*\frac{3}{\sqrt{13}}$

$D = \frac{25}{\sqrt{13}}$

Rationalize

$D = \frac{25}{\sqrt{13}} * \frac{\sqrt{13}}{\sqrt{13}}$

$D = \frac{25\sqrt{13}}{13}$

Hence, the distance is:

$D = \frac{25\sqrt{13}}{13}$

4 0

3 years ago

Can u help me plz fast

Oduvanchick [21]

Answer:

the answer is smallest to biggest

Step-by-step explanation:

3 0

3 years ago

I need to know how to write a proof for why CF is the perpendicular bisector of BD

Soloha48 [4]

It creates a 90 degree angle so that means its perpendicular.

3 0

3 years ago

A parking lot in the shape of a parallelogram has a length of

OLga [1]

Answer:

C. 1 centimeter = 30 meters

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8 0

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if 5 kids are reading books in the library and they're are 12 kids and the other kids want to read to but it takes 33 minutes to

mixas84 [53]

Answer:

the answer is 6

Step-by-step explanation:

because 33 minutes to 5pm is 76 min so you divide 76 by 12 so its 6

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