Answer:
y = (-3/2)x + 7
Step-by-step explanation:
3x + 2y = -4 (rearrange to slope intercept form y = mx + b)
2y = -3x - 4
y = (-3/2) x - 2
comparing this to the general form of a linear equation : y = mx + b
we see that slope of this line (and every line that is parallel to this line),
m = -3/2
if we sub this back in to the general form, we get:
y = (-3/2)x + b
We are still missing the value of b. To find this, we are given that the point (4,1) lies on the line. We simply substitute this back into the equation and solve for b.
1 = (-3/2)4 + b
1 = -6 + b
b = 7
substituting this back into the equation:
y = (-3/2)x + 7
Step-by-step explanation:
14=2(w-14)
7=w-14
w=21
The fraction of the image in blue with respect to the <em>entire</em> hexagon is
.
<h3>
Estimation of the ratio of the shaded region area to the entire area</h3>
Initially we proceed to create auxiliar constructions , represented by red line segments, to re-define the hexagon as a sum of standard figures. According to the figure, we find two types of triangles (type-1 and type-2), and the following relationship between the two types:
(1)
Where:
- Area of a type-1 triangle.
- Area of a type-2 triangle.
The formulae for the area of the shaded region (
) and the <em>entire</em> hexagon (
) are, respectively:
<h3>Shaded region</h3>
(2)
<h3>Entire hexagon</h3>
(3)
And the fraction of the image in blue is:



The fraction of the image in blue with respect to the <em>entire</em> hexagon is
. 
To learn more on hexagons, we kindly invite to check this verified question: brainly.com/question/4083236
Answer:
one
Step-by-step explanation:
3(x - 2) = 22 - x
3x - 6 = 22 - x
3x + x = 22 + 6
4x = 28
4x/4 = 28/4
x = 7
4(2x-3y+8)
Hope its the correct answer