4

Given a point A(-2,5), find the coordinates of a point B so that the line segment AB has each slope.

Kaylis [27]

Step-by-step explanation:

I understand this that we need to find a point B for each of a) to f).

remember, the slope is the (y coordinate difference / x coordinate difference) when going from one point on the line to the other.

a)

the slope 2/3 means that when going to B x has to increase by 3, and y has to increase by 2.

so, B = (-2 + 3, 5 + 2) = (1, 7)

b)

-2/3 means that either x or y have to decrease and the other to increase.

e.g. x increases by 3, y decreases by 2.

so, B = (-2 + 3, 5 - 2) = (1, 3)

c)

4 stands for 4/1.

so, x increases by 1, y increases by 4.

B = (-2 + 1, 5 + 4) = (-1, 9)

d)

similar to c) -3 stands for -3/1.

and similar to b) either x or y has to decrease and the other to increase.

e.g. x increases by 1, y decreases by 3.

B = (-2 + 1, 5 - 3) = (-1, 2)

e)

that means the y difference is 0. B has the same y coordinate.

e.g. B = (3, 5)

x can be any value.

the line is a horizontal line going through y = 5 or (0, 5) on the y-axis.

f)

that means the x difference is 0. B has the same x coordinate.

e.g. B = (-2, 9)

y can be any value.

the line is a vertical line going through x = -2 or (-2, 0) on the x-axis.

8 0

1 year ago

28. sylvia researched changes in the deer population in her state's parks during her lifetime

kifflom [539]

Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change, as a decimal.

In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

$A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

The population will be of 600 when A(t) = 600, hence:

$A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

$600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3$

Hence:

t/8 = 3.

t = 24.

It will take 24 years for the current population of 4800 deer to reduce to 600.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0

2 years ago

Kathy has savings a hundred thousand if she invested 100,000 in a saving fund thats adds 5% each year about how much will her sa

jok3333 [9.3K]

Answer:200,000

Step-by-step explanation:

If it increases 5% every year in 20 years it will Have increased 100% therefore the number would have doubled

5 0

3 years ago

Select all ratios equivalent to 3:5.<br> 13:30<br> 4:15<br> 6:10

uysha [10]

Answer:

6:10

Step-by-step explanation:

3:5 is equivalent to 6:10 because you multiply both 3 and 5 by 2 and you get 6:10. every thing else is wrong

6 0

2 years ago

Read 2 more answers

The distance between the school and the airport on a map is 7.25 cm. The scale of the map is 1 cm : 12 m. What is the actual dis

Naily [24]

Answer: 87 M

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers