Answer:
4x+5 ft
Step-by-step explanation:
1/2(4x²+29x+30) = 1/2 (x+6) * Height
Height = (4x²+29x+30) / (x+6) = (x+6) (4x+5) / (x+6) = 4x+5
Answer:
the second one
Step-by-step explanation:
y = 2/3 (x +6)-5
Answer:
6 feet
Step-by-step explanation:
Consider the right triangle formed by the wall, ladder and ground.
Let the distance the ladder is from the wall be d , then
Using Pythagoras' identity in the right triangle
The square on the hypotenuse ( ladder) is equal to the sum of the squares on the other 2 sides ( wall and d ), then
d² + 8² = 10²
d² + 64 = 100 ( subtract 64 from both sides )
d² = 36 ( take the square root of both sides )
d =
= 6
That is the ladder is 6 feet away from the wall
Answer:
m=13
Step-by-step explanation:
156 divided by 12mph = 13 miles
9514 1404 393
Answer:
110 units
Step-by-step explanation:
Fill in the given value and solve for x.
c = x^2 -10x +35
11035 = x^2 -10x +35
11025 = x^2 -10x +25 = (x -5)^2 . . . . subtract 10 to complete the square
x = 5 +√11025 = 5 +105 . . . . find the positive solution
x = 110
The number of units manufactured at a cost of 11,035 is 110 units.