All categories

3 years ago

Line K passes through the points (6,3) and (-2,-4) what is the slope perpendicular to K

Mathematics

1 answer:

Afina-wow [57]3 years ago

6 0

-8/7

6- -2= 8

3- -4=7

rise over run the slope of K is 7/8

perpendicular is the negative inverse of the slope so it ends up as -8/7

You might be interested in

I need help on 5 and 6 please help me

VashaNatasha [74]

Repeat this on number 6.. all you have to follow is match up the sides and angles

8 0

3 years ago

Solve for x. 5x - [3x + 4(x - 2)] = 9x - [4x + 5x + 10]

Murrr4er [49]

Answer:

all work is shown and pictured

4 0

4 years ago

How many times can you take 7 from 93?

irina1246 [14]

You can take 7 from 93, 13 times

3 0

3 years ago

It is predicted that in t years, the population of a country will be P (t) = 50e ^ (0.02t) million inhabitants. A) What will be

lakkis [162]

$\begin{gathered} \text{Given:} \\ P(t)=50e^{0.02t} \end{gathered}$

A) What will be the rate of change of the population in 10 years.

$\begin{gathered} \text{Get the derivative of the }P(t)\text{ with respect to }t \\ \frac{dP}{dt}(50e^{0.02t})=50(0.02)e^{0.02t} \\ \frac{dP}{dt}(50e^{0.02t})=e^{0.02t} \end{gathered}$

Substitute t = 10, to the derivative of P(t)

$\begin{gathered} P^{\prime}(t)=e^{0.02t} \\ P^{\prime}(10)=e^{0.02(10)} \\ P^{\prime}(10)=e^{0.2} \\ P^{\prime}(10)=e^{0.2} \\ P^{\prime}(10)=1.02020134 \\ \\ \text{Round off to two decimal place} \\ P^{\prime}(10)=1.02 \end{gathered}$

Therefore, the rate of change of the population in 10 years is 1.02 million.

B) What will be the relative rate of the population in t years? Is this rate constant?

$\begin{gathered} \text{The relative rate of the population in t years is the first derivative of }P(t) \\ P^{\prime}(t)=e^{0.02t} \end{gathered}$

The rate is not constant, as it depends on how much time t has passed.

5 0

1 year ago

Let f(x) = x − 2 and g(x) = x2 − 7x − 9. find f(g(−1)). select one: a. −21 b. −3 c. 3 d. 21

bulgar [2K]

F(x) = x - 2
g(x) = x² - 7x - 9

g(-1) = (-1)² - 7(-1) - 9 = 1 + 7 - 9 = -1

f(g(-1)) = f(-1) = -1 - 2 = -3

5 0

4 years ago