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2 years ago

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).

Mathematics

2 answers:

DIA [1.3K]2 years ago

3 0

Answer:

x = - 4

Step-by-step explanation:

y = - 8 is the equation of a horizontal line parallel to the x- axis.

A perpendicular line must then be a vertical line parallel to the y- axis.

The equation of a vertical line is x = c

where c is the value of the x- coordinates it passes through.

The line passes through (- 4, - 2) with x- coordinate - 4, thus

x = - 4 ← equation of perpendicular line

scoundrel [369]2 years ago

3 0

Answer:

The line y = -8 is horizontal

The line perpendicular to the line y = -8 is vertical

The equation of the line perpendicular to the line y = -8 through

the point (-4 , -2) is x = -4

Step-by-step explanation:

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The ordered pair (4,1) gives a true statement for both equations.

Step-by-step explanation:

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Answer:

Ryan saw 30 ants when he left for spring break.

Step-by-step explanation:

The equation for the number of ants has the following format:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t days, P(0) is the initial population and r is the growth rate.

Upon returning 17 days later, Ryan counts 3960

This means that $P(17) = 3960$ . So

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$3960 = P(0)e^{17r}$

The next day there are 5280 ants.

This means that $P(18) = 5280$

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$5280 = P(0)e^{18r}$

From above, we have that

$P(0) = \frac{3960}{e^{17r}}$

Replacing

$5280 = P(0)e^{18r}$

$5280 = \frac{3960e^{18r}}{e^{17r}}$

$3960e^{r} = 5280$

$e^{r} = \frac{5280}{3960}$

$\ln{e^{r}} = \ln{\frac{5280}{3960}}$

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