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3 years ago

Choose the correct simplification of the expression (3x2y3z4)(2x5y2z3). 6x7y5z7 6x10y6z12 5x7y5z7 5x10y6z12

Mathematics

2 answers:

torisob [31]3 years ago

5 0

Its the 2nd one
multiply it out

laila [671]3 years ago

5 0

it is not the second one. it is the first one because you multiply the big numbers, and add up the exponents.

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find an equation of the line passing through the point (-4,-6) that is parellel to the line y=-2/9x-1

ryzh [129]

The equation of the line passing through the point (-4,-6) in slope intercept form is:

$y = \frac{-2}{9}x -\frac{62}{9}$

Solution:

Given that we have to write the equation of the line passing through the point (-4,-6) that is parallel to the line y=-2/9x-1

The equation of line in slope intercept form is given as:

y = mx + c ---------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Given equation of line is:

$y = \frac{-2x}{9} -1$

On comparing the above equation with eqn 1,

$m = \frac{-2}{9}$

We know that slopes of parallel lines are equal

Thus slope of line parallel to given line is also $\frac{-2}{9}$

Now find the equation of line with slope $\frac{-2}{9}$ and passing through (-4, -6)

$\text{Substitute } m = \frac{-2}{9} \text{ and } (x, y) = (-4, -6) \text{ in eqn 1}\\\\-6=\frac{-2}{9} \times -4+c\\\\-6 = \frac{8}{9}+c\\\\-6 = \frac{8+9c}{9}\\\\-54 = 8+9c\\\\9c = -62\\\\c = \frac{-62}{9}$

$\text{Substitute } m = \frac{-2}{9} \text{ and } c = \frac{-62}{9} \text{ in eqn 1}\\\\y = \frac{-2}{9}x -\frac{62}{9}$

Thus the equation of line is found

4 0

3 years ago

Evaluate the following expression: -4xy when x = 1/4 and y = -3.

Travka [436]

Answer:

Step-by-step explanation:

-4(1/4)(-3)= 3

Mark as brainlist.

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3 years ago

6. Sarah counted her heartbeats after running. In 20 seconds, she counted 45 heartbeats. At that rate, what was her number of he

borishaifa [10]

20×3 is 60 and if Sarah counted 45 beats in 20 seconds you'd multiply 45 by 3 so it would be 135.

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3 years ago

Read 2 more answers

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MArishka [77]

A closed circle means greater than or equal to and less than or equal to.
An open circle is greater than or less than.

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3 years ago

Answer for these 2 plz? With explanation!

givi [52]

Answer:

Look at the photo

Step-by-step explanation:

I hope I solved it right. Once you get the main concept of it, it's pretty easy.

If you have any questions about the way I solved it, don't hesitate to ask

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3 years ago