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2 years ago

5

Which line is a linear model for the data?

1 answer:

olga2289 [7]2 years ago

8 0

Answer:

Your selected answer is correct.

Step-by-step explanation:

As you can see, the line and the points given follow the same vague path, while the others are below it for the most part, or going the wrong direction.

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The corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?

Nuetrik [128]

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(-6, 2)) = (x_1, y_1)$

$B(2, 6) = (x_2, y_2)$

$AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2}$

$AB = \sqrt{(8)^2 + (4)^2}$

$AB = \sqrt{64 + 16} = \sqrt{80}$

$AB = 8.9$ (nearest tenth)

Distance between B(2, 6) and C(7, 1):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$B(2, 6) = (x_1, y_1)$

$C(7, 1) = (x_2, y_2)$

$BC = \sqrt{(7 - 2)^2 + (1 - 6)^2}$

$BC = \sqrt{(5)^2 + (-5)^2}$

$BC = \sqrt{25 + 25} = \sqrt{50}$

$BC = 7.1$ (nearest tenth)

Distance between C(7, 1) and D(3, -5):

$CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$C(7, 1) = (x_1, y_1)$

$D(3, -5) = (x_2, y_2)$

$CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2}$

$CD = \sqrt{(-4)^2 + (-6)^2}$

$CD = \sqrt{16 + 36} = \sqrt{52}$

$CD = 7.2$ (nearest tenth)

Distance between D(3, -5) and A(-6, 2):

$DA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$D(3, -5) = (x_1, y_1)$

$A(-6, 2) = (x_2, y_2)$

$DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2}$

$DA = \sqrt{(-9)^2 + (7)^2}$

$DA = \sqrt{81 + 49} = \sqrt{130}$

$DA = 11.4$ (nearest tenth)

Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units

8 0

3 years ago

Starting at 1:00 pm, the temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours

vesna_86 [32]

Answer:

im guessing it will take 3 hours to get to -1 F

Step-by-step explanation:

4 0

3 years ago

Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closi

Marrrta [24]

After 4 years, the account gains $325.8, so 4 years

8 0

3 years ago

Read 2 more answers

A bottle of root beer contains 4/5 of a liter. How much root beer is in 3 bottles?

NemiM [27]

4/5 * 3 = 12/5 liters There are 2 cups in a liter so to find the root beer in cups, divide 12/5 by 2. You will get 12/10 cups which is 1.1 cups

3 0

3 years ago

Pls help this is due soon check 2 that apply

dem82 [27]

Answer:

I am pretty sure it is option a and c

Sorry if i am wrong

3 0

3 years ago