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Tanzania [10]
1 year ago
9

Find the midpoint of

Mathematics
1 answer:
chubhunter [2.5K]1 year ago
7 0

The midpoints of the given coordinates and the distance between coordinates are calculated below.

<h3>How to find the distance of a line segment?</h3>

1a) Coordinates of midpoint of (-4, 2), (3, 3) is;

Midpoint Coordinate = (-4 + 3)/2, (2 + 3)/2 = (-1/2, 5/2)

1b) Coordinates of midpoint of (-1, 0), (-3, -4) is;

Midpoint Coordinate = (-1 - 3)/2, (-4 + 0)/2 = (-2, -2)

2) One endpoint = (-5, 4)

Midpoint = (-10, -6)

Thus;

Coordinate of other endpoint is;

(-5 + x)/2, (4 + y)/2 = (-10, -6)

-5 + x = -20

x = -15

4 + y = -12

y = -16

(x, y) = (-15, -16)

3) Distance between the two coordinates (-3, 6) and (2, 1) is;

d = √[(2 + 3)² + (1 - 6)²]

d = √100

3b) Distance between the two coordinates (7, 6) and (0, 2) is;

d = √[(0 - 7)² + (2 - 6)²]

d = √64

Read more about Distance of Line Segment at; brainly.com/question/11268396

#SPJ1

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The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19
lisabon 2012 [21]

Answer:

39,223\ rabbits

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

y=a(1+r)^x

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

a=9,100

substitute

y=9,100(1+r)^x

For the year 1998

the number of years is equal to

x=1998-1991=7 years

so

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

18,000=9,100(1+r)^7

(18,000/9,100)=(1+r)^7

elevated both sides to 1/7

(1+r)=1.1023

r=0.1023

therefore

y=9,100(1+0.1023)^x

y=9,100(1.1023)^x

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

y=9,100(1.1023)^{15}

y=39,223\ rabbits

6 0
3 years ago
Question 4 (1 point)
serious [3.7K]

Answer:

Well  the answer would be 3 inches to figure it fully out my best guess is 3

Step-by-step explanation:

7 0
3 years ago
Choose the correct answer to classify each equation or situation below as exponential growth or decay.
inn [45]

Answer:

Exponential Decay

Step-by-step explanation:

Because 7/8 is less than 1, it is exponential decay

5 0
3 years ago
WILL GIVE BRAINLIEST ANSWER!!!
quester [9]

Answer:

everyone will have 15 dogs each

Step-by-step explanation:

dogs:

1+2+3+4+5=15

humans:

54+38+3+1+4=100

100x15=1500 <<<how many dogs there are in total

1500%100=15 <<<how many each person will get if u add all the dogs and divide them evenly for each person

3 0
2 years ago
Read 2 more answers
The first blanks options are -2 , -1/2 , 2 , 1/2
Pie

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

7 0
3 years ago
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