Hello!
The graph y < -2/3x + 2 has a dotted line. That means that any points on the dotted line or not shaded, is not a solution to this inequality. Since we are given 4 choices, we can substitute those values into the given inequality to see if it is true.
A) (0, 2)
2 < -2/3(0) + 2
2 < 2, this is false.
B) (3, 0)
0 < -2/3(3) + 2
0 < -2 + 2
0 < 0, this is false.
C) (0, 0)
0 < -2/3(0) + 2
0 < 2, this is true.
D). (0, 3)
3 < -2/3(0) + 2
3 < 2, this is false.
To check if choice C) (0, 0) is true, we should look at the given graph.
Since (0, 0) is in the shaded area, and is not graphed on the dotted line, therefore, a solution to this linear inequality is C, (0, 0).
Answer:
Explanation:
The figure is not a regular hexagon. It is an irregular hexagon.
Please, find attached the picture with the original question and the figure.
You can split the figure into two triangles and one rectangle.
The rectangle has dimensions: 7units × 4units, thus its area is 28 units².
Both the upper triangle and lower triangle have base 7 units and height 2 units.
Hence the area of each triangle is:
Hence, the area of the hexagon is:
Answer:
I'm pretty sure is the $0.40
Answer:
Hence as long as x > 2/3, we can form a triangle from the three given sides.
Step-by-step explanation:
Given:
Length of 3 sides of triangle are
Solution:
From the length of the 2nd side 4x, we know that x > 0
Let this be 1 st statement.
Now from the triangle inequality we can say that;
No new information from this because of the 1st statement above.
Also,
Lastly,
and again no new information is obtained from this inequality.
Hence as long as x > 2/3, we can form a triangle from the three given sides.
Answer:
y-intercept = (0, -2)
x-intercept = (2, 0)
Step-by-step explanation:
The y-intercept is the value of y when x = 0. Therefore, Given the linear equation, y = x - 2:
Let x = 0:
y = 0 - 2
y = -2.
Therefore, the y-intercept of the linear equation, y = x - 2 is (0, -2).
The x-intercept is the value of x when y = 0.
Therefore, let y = 0:
y = x - 2
0 = x - 2
Isolate x by adding 2 to both sides of the equation:
0 + 2 = x - 2 + 2
2 = x
Therefore, the x-intercept is (2, 0).