C because it's using the distributive property. It's breaking it down into sections.
Answer:
slope = -1.5
Step-by-step explanation:
A set of three or more points are said to be collinear if they all lie on the same straight line.
We have been given the following collinear set of points;
P(0, 3), Q(2, 0), R(4, -3)
This implies that P, Q, and R lie on the same line.
The slope of a line is defined as; (change in y)/(change in x)
Using the points P and Q, the slope of the line is calculated as;
(0-3)/(2-0) = -3/2 = -1.5
Answer:
2.
3.
Step-by-step explanation:
<em>In general we can write a polynomial in standard form as </em>

<em>Given</em> 
<em>Combine the like terms: 4m and -4m</em>
<em>4m-4m=0</em>
<em>We have 4m-4m=0</em>
<em>So, write the remaining terms</em>

= 
<em>This is in decreasing order of powers.</em>
<em>Hence the answer is the standard form is</em>

<em>But in the given options, you can choose option 2 and option 3 are in standard form.</em>
<em>Because they are in decreasing order of powers.</em>
<em>In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.</em>
<em>-2m^4-6m^2+4m+9</em>
<em>-2m^4-6m^2-4m+9</em>
<em>I hope this helps you.</em>
<em>And please comment if I need to do corrections.</em>
<em>Please let me know if you have any questions.</em>
Answer:
5 12 9
Step-by-step explanation:
<u>Given</u>:
Given that ABCD is a rectangle.
The diagonals of the rectangle are AC and DB.
The length of AE is (6x -55)
The length of EC is (3x - 16)
We need to determine the length of the diagonal DB.
<u>Value of x:</u>
The value of x can be determined by equating AE and EC
Thus, we have;

Substituting the values, we get;




Thus, the value of x is 13.
<u>Length of AC:</u>
Length of AE = 
Length of EC = 
Thus, the length of AC can be determined by adding the lengths of AE and EC.
Thus, we have;



Thus, the length of AC is 46.
<u>Length of DB:</u>
Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.
Hence, we have;


Thus, the length of DB is 46.