Answer:
78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
The parallel lines have the same slope.
The slope-intercept form: y = mx + b
m - a slope.
We have 6x + y = 4 |subtract 6x from both sides
y = -6x + 4 → m = -6.
The slope-point form:

We have m = -6 and (-2, 3).
Substitute:

<h3>Answer: 6x + y = -9.</h3>
Answer:
Objective Function: P = 2x + 3y + z
Subject to Constraints:
3x + 2y ≤ 5
2x + y – z ≤ 13
z ≤ 4
x,y,z≥0
Step-by-step explanation:
We have that
case 1)<span>system of equations is
</span><span>y=−12x−1
y=14x−4
using a graph tool
see the attached figure
the solution of the system is the point (0.115,-2.385)case 2)
</span>system of equations is
<span>blue line passing through coordinates A (0, -4) and B (4, -3)
</span><span>red line passing through coordinates C(0, -1) and D (4, -3)
</span>using a graph tool
see the attached figure
the solution of the system is the point (4,-3)<span>
</span>
Answer:
Regular: C & E
Irregular: A & B
Not a polygon: F & D
Step-by-step explanation:
A polygon is a close sided shape with no curves. Since F and D have curves they are not polygons. Regular polygons have side lengths which are all equal to each other. C and E are regular polygons. Irregular polygons are polygons whose sides have different values from each other. A and B are irregular.