Answer:
See Below
Step-by-step explanation:
The boundary line follows the graph of y = 2x - 4 because it represents the line of maximum or minimum values the graph could take. y = 2x - 4 has a y-intercept of -4 because it is in slope-intercept form. It also has a slope of 2, so to find another point on the line, you can go up two and right one. Also, this inequality has a solid line because it is "less than or equal to" and a solid line represents the values that equal.
When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.
x-coordinate: (2 - 9) / 3 = -7/3
y-coordinate: (6 - 3 ) / 3 = 1
Adding them to the coordinates of a,
x - coordinate: (9 - 7/3) = 20/3
y - coordinate: (3 + 1) = 4
Thus, the coordinates are (20/3, 4).
<span>
<u><em>Answer:</em></u>g = 3
<u><em>Explanation:</em></u>To solve for g, we will need to isolate the g on one side of the equation.
<u>This can be done as follows:</u>
</span>
<span>
<u>1- multiply all terms by 14 to get rid of the fraction:</u>
4g - 6 - g = 3
<u>2- Combine like terms:</u>
4g - g = 3 + 6
3g = 9
<u>3- Isolate the g:</u>
</span>
<span>
g = 3
Hope this helps :)</span>
Answer:
7
/10 0.7
Step-by-step explanation:
To add fractions, find the LCD and then combine.
