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3 years ago

8

What is the solution to the equation 3x+9-7x=2(x+6)

2 answers:

Tasya [4]3 years ago

5 0

Answer:

x=-1

Step-by-step explanation:

hello :

3x+9-7x=2(x+6)

3x+9-7x=2x+12

3x-2x-7x=12-9

-6x = 6

x=6/-6 = -1

Vera_Pavlovna [14]3 years ago

3 0

Answer:

x = - $\frac{1}{2}$

Step-by-step explanation:

Given

3x + 9 - 7x = 2(x + 6), that is

- 4x + 9 = 2x + 12 ( subtract 2x from both sides )

- 6x + 9 = 12 ( subtract 9 from both sides )

- 6x = 3 ( divide both sides by - 6 )

x = $\frac{3}{-6}$ = - $\frac{1}{2}$

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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

zloy xaker [14]

Answer is

2

gradient=change in y/change in X

(10--2)/(4--2)=2

7 0

3 years ago

I need help on this question please help me

Anastasy [175]

Answer:

Step-by-step explanation:

6*[4-(42-63)]=

6*[4-(-21)]=

6*[4+21]=

6*25=150.

6*[4-9÷3]=

6*[4-27]=

6*(-23)=-138.

6*[4-3]=

6*1=6.

6 0

2 years ago

What property does the following equation show? 5+7+9=7+5+9<br>

dsp73

Answer: it’s commutative property.

Step-by-step explanation: commutative property is when you switch numbers but the answer still stays the same. Hope this helped!

8 0

2 years ago

How do I simplify this expression

emmainna [20.7K]

7 squared is 7 x 7 so the answer would be 49 I believe

5 0

1 year ago