Type the expression that results from the following series of steps:
1 answer:
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From the diagram we have
Base =
Height =
Area = Base × Height
126 =
⇒ Expand the double bracket
126 =
⇒ Subtract 126 both sides
0 =
⇒ Factorise the quadratic expression
0 =
⇒ Equating each factor to zero
We need the positive value of
so we use
Height = 5+1 = 6
Base = 4(5)+1 = 21
Base =
Height =
Area = Base × Height
126 =
126 =
0 =
0 =
We need the positive value of
Height = 5+1 = 6
Base = 4(5)+1 = 21
Answer:
9514 1404 393
Answer:
- 9.5
- maximum, 34.5, 5
- 10.9
Step-by-step explanation:
I find it convenient to use a graphing calculator to graph the function.
The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.
- The irrigation system is positioned <u> 9.5 </u> feet above the ground.
The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.
- The spray reaches a <u> maximum </u> height of <u> 34.5 </u> feet at a horizontal distance of <u> 5 </u> feet away from the sprinkler head.
- The spray reaches all the way to the ground at about <u> 10.9 </u> feet away.
The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.
