Answer:
23. x = 4; DE = 44
24. x = 25; DS = 28
Step-by-step explanation:
23. Point S is the midpoint of DE, so ...
DS = SE
3x +10 = 6x -2
12 = 3x . . . . . . . . . add 2-3x
4 = x . . . . . . . . . . . divide by 3
Then DS has length ...
DS = 3x +10 = 12 +10 = 22
and DE is twice that length, so ...
DE = 44
__
24. DS is half the length of DE, so is ...
DS = DE/2 = 56/2
DS = 28
Then x can be found from ...
DS = x +3
28 -3 = x = 25 . . . . . substitute value for DS
_____
<em>Comment on problem 24</em>
Sometimes it is easier to work parts of a problem out of sequence. Here, finding DS first makes finding x easier.
Percent decrease=decrease/original times 100
decreas=860-790=70
original=860
percent decrease=70/860 times 100
percent decrease=0.0813953 times 100
percent decrease=8.13953
about 8%
Answer:
The factored form
is
.
Step-by-step explanation:
Given : 
We have to write the given expression in factored form.
Factor form of an expression is writing the expression in lower power form such that the product of factors given the original expression
Consider the given expression
.
We know the algebraic identity 
Here
.
Comparing with identity stated above , we have x= a , b = 11 , thus, we get
.
Thus, the factored form
is
.
Step-by-step explanation:

Rearranging the terms, we get

We then integrate the expression above to get


or

where I is the constant of integration.
<u>

</u>Both discriminants are equal.<u>
</u>