1. n^2 -8n +16 = 25
Subtract 25 from both sides
n^2 - 8n + 16 - 25 = 0
Simplify
n^2 - 8n - 9 =0
Factor
(n-9)(n+1) = 0
Solve for n
n-9 = 0, n = 9
n+1 = 0, n = -1
Solution: 9,-1
2. C = b^2/25
Multiply both sides by 25:
25c = b^2
Take square root of both sides
b = +/-√25c
Simplify:
b = 5√C, -5√C
3. d = 16t^2 +12t
subtract d from both side:
16t^2 + 12t -d =0
Use quadratic formula to solve:
t = (3 +/-√(9-4d))/8
4. 5w^2 +10w =40
Subtract 40 from both side:
5w^2 + 10w -40 = 0
Factor:
5(w-2)(w+4)=0
Divide both sides by 5:
(w-2)(w+4)=0
Solve for w:
w-2 = 0, w = 2
w+4=0, w = -4
Solution: 2,-4
Break it down into a rectangle and triangle.
Area of rectangle is lw
One side of the rectangle is 8 (MA)
The other side is 6
Area is 8x6 = 48
Area of a triangle is 1/2 bh
h is 8
b is 10(AZ) - 6 (ME) = 4
Area of triangle is 1/2 (4 x 8) = 12
Add 48 and 12 to get 60
The area is 60
Answer:
10 units
Step-by-step explanation:
Hansen walks two units down to the dry cleaners, and walks 8 units to the right to the radio tower. If you add the units together you get 10.
Table number four represents a linear function
Answer:
vertical are vertical from each other and equal and linear are the two angles added to get 180 the total degrees of a line
Step-by-step explanation: