Answer:
Part A. C=9
Part B. (w+3)² =139
Part C. w = 8.8 inch
Step-by-step explanation:
Given from the question length of the the picture = (2w+12) inches
Width of the picture = w inches
Area of the picture = 260 inch²
Part A. Area of the picture with the given dimensions= w×(2w+12)
Or w(2w+12) = 260
2w²+12w = 260
2(w²+6w) = 2×(130)
w²+6w = 130
Or w²+6w +9 = 130+9 ⇒ which is in the form of w²+6w+c = 130+c
Therefore for c = 9 we will get a perfect square trinomial.
Part B. As we have seen the equation in part A.
As required equation will be (w+3)²=139
Part C. Since (w+3)² = 139
Then by taking under root on both the sides of the equation
(w+3) =√139 = 11.8
(w+3)-3=11.8-3
w = 8.8 inch
The answer is 51. hope that helped
Since they are intersecting lines, you would equal them to each other.
(5x+4)= (8x-71)
-8x. -8x
-3x + 4 = -71
- 4. -4
-3x = -75
Divide 3x by both sides gets you x = 25
Answer:
75
Step-by-step explanation:
Given That :
Operation cost = $2250 per month
Purchase price per bike = $40
Average selling price per bike = $70
How many bicycles must the store sell each month to break even ;
Break even point = point at which there is net profit / loss = 0
Let number of bicycles store must sell = x
Operation cost + (purchase price * Number of bicycles) = selling price * Number of bicycles
2250 + 40x = 70x
2250 = 70x - 40x
2250 = 30x
x = 2250 / 30
x = 75
To break even 75 bicycles must be sold