


<em><u>Therefore, when 15/27 is factorise using the method of prime factorization we'll get 5/9.</u></em>
Answer:

Step-by-step explanation:
We are given the equation:

Where <em>a</em>, <em>b</em>, and <em>c</em> are solutions to the equation and where <em>a</em> < <em>b</em> < <em>c</em>, we want to determine the value of 10<em>c</em> - 6<em>a</em>.
To find the solutions of the equation, we can factor:

From the Zero Product Property:

Solve for each case:

We can see that -5/3 < 0 < 10. Thus, <em>a</em> = -5/3, <em>b</em> = 0, and <em>c</em> = 10.
Therefore:

See the explanation
<h2>
Explanation:</h2>
Since you don't provide any graph I can't give you an exact answer. However, I'll give you the fourth graph for this problem. So we have:
<h3>First:</h3>
We have the inequality:

The symbol < tells us that the line is dotted and the shaded region is below the line. Also, the slope is 3 and the y-intercept is 2. So as x increases one unit y increases 3, so if (0, 2) which is both a point and the y-intercept of the line, then (1, 5) will also be a point on the line. By using graphing tool we get the first graph below.
<h3>Second:</h3>
We have the inequality:

This case is similar to the previous one. The only difference is that the shaded region is above the line. The graph is the second one below.
<h3>Third:</h3>
We have the inequality:

Again the line is shaded under the graph. Also, the slope is 1/3 and the y-intercept is 2. So as x increases one unit y increases 1/3, or in other words, as x increase 3 units y increases one unit, so if (0, 2) which is both a point and the y-intercept of the line, then (3, 3) will also be a point on the line. By using graphing tool we get the third graph below.
<h3>Fourth:</h3>
We have the inequality:

This case is similar to the previous one. The only difference is that the shaded region is above the line. The graph is the fourth one below.
<h2>Learn more:</h2>
Inequalities: brainly.com/question/12890742
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(8+5)- 2
First, add 8+5 (=13)
Then, subtract 2 (=11)
So the answer is 11
Part a.
An angle bisector divides the angle into two congruent angles.
m<FGH = m<HGI
2x - 4 = 3x - 22
Subtract 2x from both sides. Add 22 to both sides.
18 = x
x = 18
Now that we know x = 18,
m<FGH = 2x - 4 = 2(18) - 4 = 36 - 4 = 32
m<FGH = 32
Part b.
m<HGI = 3x - 22 = 3(18) - 22 = 54 - 22 = 32
m<HGI = 32
Part c.
m<FGI = m<FGH + m<HGI = 32 + 32 = 64
m<FGI = 64