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3 years ago

What is the slope of a line that passes through points (3,5) and (6,14)

Mathematics

1 answer:

Anna [14]3 years ago

8 0

Answer:

Step-by-step explanation:

Slope= (14-5)/(6-3)

= 9/3

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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

2 years ago

The sum 51 5/6 + (-37 1/12) is equal to what?

postnew [5]

Those two added together are equal to
14 and $\frac{3}{4}$

6 0

3 years ago

Read 2 more answers

Geometry help please!

photoshop1234 [79]

Algebra is number 3 - You have subtracted the measure of angle HKI from the equation.

Transitive property of equality is number 2 - Because both pairs of angles equal 180 degrees, you can set them equal to each other.

Definition of congruence is number 4 - The congruence symbol is in the equation, which tells you that the two angles are congruent.

Angles forming a linear pair sum to 180 degrees is number 1 - 180 degrees is in the equations given and the angles all form linear pairs.

Hope this helps!! :)

8 0

3 years ago

Last math problem of the night! Help?? Will give extra points!

noname [10]

3y = -x + 3

y= (-1/3)x + 1

perpendicular: 3

y + 1 = 3(x - 6)
y + 1 = 3x - 18

y = 3x - 19

8 0

3 years ago

Find the solutions to the equation. Select ALL that apply.

alisha [4.7K]

Answer:

Step-by-step explanation:

-3y(2y+5)=0

-6y+15y=0

9y=0

y=0÷9

y=0

5 0

3 years ago