<span>10p+5=18p-6/2
10p + 5 = 18p -3
10p - 18 p = -3 -5
-8p = -8
p = -8/-8
p =1</span>
The equation of a line of the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
If two lines are parallel then their slopes are equal.
We have the following line:

Thus, the slope of the line is -5.
Therefore a parallel line is of the form:

We replace the point 

Finally, the equation is of the form:

Answer:

Answer: p(-2)=9
Step-by-step explanation:
Answer:
<h3>The answer is option C</h3>
Step-by-step explanation:
6x³ - 4x² - 16x
To factorize the expression first factor out the GCF out
The GCF in the expression is 2x
That's
2x( 3x² - 2x - 8)
Next Factorize the terms in the bracket
To factorize write - 2x as a difference
that's
2x( 3x² + 4x - 6x - 8)
<u>Factor out x from the expression</u>
2x [ x( 3x + 4) - 6x - 8 ]
<u>Next factor out - 2 from the expression</u>
2x [ x ( 3x + 4) - 2( 3x + 4) ]
<u>Factor out 3x + 4 from the expression</u>
We have the final answer as
<h3>2x( 3x + 4)( x - 2)</h3>
Hope this helps you
Answer:
OPTION B: 162, 486, 1458
Step-by-step explanation:
The given sequence is 2, 6, 18, 54, . . .
It is a geometric sequence and the common difference is 3.
The general form of a geometric sequence is: a, ar, ar², ar³, . . .
Here a = 2 and r = 3.
term of a Geometric progression is
.
Note that the fourth term is 54.
i.e., 
.
Similarly,
.
Also,
.
Hence, OPTION B is the answer.