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2 years ago

ella collected 5 times as many bugs as mari mari collected 19 bugs how many bugs did ella collect show your work

Mathematics

2 answers:

ratelena [41]2 years ago

5 0

It’s 95 , because 9*5

suter [353]2 years ago

4 0

Answer:

Ella collected 95 bugs.

Step-by-step explanation:

First, we know that Mari has 19 bugs at the moment, then we know Ella has 5 times that amount. So, the equation would be 5 • 19. The answer comes to 95.

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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

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For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

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m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

$5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3$

So we have:

$m_ {1} = \frac {5} {2}$

We find $m_ {2}:$ $m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}$

So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

$-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2$

Finally we have:

$y = - \frac {2} {5} x-2$

In point-slope form we have:

$y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)$

ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

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