Re-write the quadratic function below in Standard Form y = -9(x + 1)(x – 7)
2 answers:
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Answer:
The altitude of the climber is 1.40 miles
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
<em>In the right triangle BCD</em>
tan(22°)=h/(x-0.5)
h=tan(22°)*(x-0.5) ----> equation A
<em>In the right triangle ACD</em>
tan(15°)=h/x
h=tan(15°)*(x) ----> equation B
Equate equation A and equation B and solve for x
tan(22°)*(x-0.5)=tan(15°)*(x)
tan(22°)*x-tan(22°)*0.5=tan(15°)*x
x[tan(22°)-tan(15°)]=tan(22°)*0.5
x=tan(22°)*0.5/[tan(22°)-tan(15°)]
x=1.48 miles
Find the value oh h
h=tan(15°)*(1.48)=0.40 miles
therefore
The altitude of the climber is equal to
0.40+1=1.40 miles
<h2>54 units²</h2><h2 />
This is a compound shape. You can split it into x shapes. See Attachment
- Rectangle - Red
Area of a Rectangle = L × B
L = 7
B = 6
7 × 6 = 42
<h3>42 units²</h3>- Triangle - Orange
Area of a Triangle = 1/2BH
B = 6
H = 1
1/2 × 6 × 1 = 3
<h3>3 units²</h3>- Triangle - Green
Area of a Triangle = 1/2BH
B = 3
H = 2
1/2 × 3 × 2 = 3
<h3>3 units²</h3>- Triangle - Blue
Area of a Triangle = 1/2BH
B = 2
H = 6
1/2 × 2 × 6 = 6
<h3>6 units²</h3><h3 /><h3>42 + 6 + 3 + 3 = 54</h3>