Answer:
<h3>72 units</h3>
Step-by-step explanation:
Given D,E, and F are collinear points and E is between D and F, then the expression DE + EF = DF.... 1 is true
If DE is six times the length of EF, then;
DE = 6DF
DF = DE/6 .....2
Substitute equation 2 into 1;
DE + EF = DF
DE + DE/6 = DF
find the LCM
(6DE+DE)/6 = DF
cross multiply
6DE+DE = 6DF
7DE = 6DF
Given DF = 84units
7DE = 6(84)
7DE = 504
Divide both sides by 7
7DE/7 = 504/7
DE = 72
Hence the length of segment DE is 72units
(5,9) because vertex form is (x-h)^2+k and the vertex is (h,k) so it would be (5,9)
Answer:A
Step-by-step explanation:
-7x^2-4x+20
-(7x^2+4x-20)
-(7x^2+14x-10x-20)
-(7x(x+2)-10(x+2))
-(7x-10)(x+2)
Answer:
$2,790
Step-by-step explanation:
This is the concept of commercial arithmetic, the amount of tax calculated from $90,000 will be:
Rate*value
=31/1000*90000
=$2,790
the answer is $2,790
