L=2W+2
W=(L-2)/2
A=LW, using W from above makes this
A=L(L-2)/2
2A=L^2-2L
L^2-2L-2A=0, given A=84
L^2-2L-168=0
(L-14)(L+12)=0, since L>0
L=14
The length of the rug is 14 ft
(W=(L-2)/2=6 ft)
Hello
<span>2(x-3)+5=4-7(2x-1)
2x-6+5 = 4 -14x+7
2x+14x =6-5+4+7
16x=12
x=12/16
x=(4×3)/(4×4)
x=3/4 (simplified by 4)
answer B</span>
Answer:
26 years
Step-by-step explanation:
Given:
The mean age of 9 women = 27 years old
The mean age of 7 men = 25 years old
Question asked:
What is the mean age (nearest year) of all the people in the office?
solution:
By using, mean = sum of observations divided by number of entities
The mean age of 9 women = 27 years old
= 

The mean age of 7 men = 25 years old
= 

Total sum of ages of men and women in the office = 243 + 175
= 418 years
Total number of people in the office = 9 women + 7 men = 16
The mean age of all the people in the office = Total sum of ages of men and women in the office divided by Total number of people in the office
= 
Therefore, the mean age (nearest year) of all the people in the office = 26 years
Answer:
5/8 shrinks
Step-by-step explanation:
Shrinks down 5/8
Answer:
case a)
----> open up
case b)
----> open down
case c)
----> open left
case d)
----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have

so


so

therefore
The parabola open up
case b) we have

so



therefore
The parabola open down
case c) we have

so



therefore
The parabola open to the left
case d) we have

so



therefore
The parabola open to the right