Answer:
there is a solution
w= -2
Step-by-step explanation:
4w+4=-4
-4 -4
4w=-8
/4 /4
w=-2
<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.
Answer:
(a) moment generating function for X is 
(b) 
Step-by step explanation:
Given X represents the number on die.
The possible outcomes of X are 1, 2, 3, 4, 5, 6.
For a fair die, 
(a) Moment generating function can be written as
.



(b) Now, find
using moment generating function




Hence, (a) moment generating function for X is
.
(b) 
$1000 dollars is how much you need to pay for the trip.
You already have $350.
$1000 - $350 = $650. So, you need to make $650 more.
$650 <span>÷ 8 = 81.25
So you final answer is: 81.25 hours.
Hope this helped you! :D
</span>
The volume of a cylinder changes when you adjust the height or radius as the volume either increases or reduces.
<h3>How to illustrate the volume?</h3>
Let's assume that the height and radius are 14cm and 7cm. The volume will be:
= πr²h
= 3.14 × 7² × 14
= 2154.04cm³
When the radius and height are reduced to 5cm and 9cm, the volume will be:
= πr²h
= 3.14 × 5² × 9
= 706.5cm³
This illustrates that the volume reduces when the height and radius reduces.
Learn more about volume on:
brainly.com/question/1972490
#SPJ1