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If we set the vertex at (0,0) then the curve goes through (30,30)
<span>y = 1/30 x^2 </span>
<span>x^2 = 30y </span>
<span>Since the parabola x^2 = 4py has its focus at y=p, 4p=30 and the mic should be 15/2 inches up from the vertex.</span>
Answer:
-4 + (-9)
Step-by-step explanation:
Use the equation of midpoint (p is point)
Xp=Xa+Xb/2
4-2/2
2/2=1
Yp=Ya+Yb/2
9/2=4.5
So point (1,4.5)
Answer: The length is 12 feet and the width is 4 feet.
Step-by-step explanation:
Let L represent the length of the bedroom closet.
Let W represent the width of the bedroom closet..
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the bedroom closet is 32 ft. This means that
2(L + W) = 32
Dividing through by 2, it becomes
L + W = 32/2
L + W = 16
The area of the bedroom closet is 48 ft². This means that
LW = 48 - - - - - - - -- - - - - - 1
Substituting L = 16 - W into equation 1, it becomes
W(16 - W) = 48
16W - W² = 48
W² - 16W + 48 = 0
W² - 12W - 4W + 48 = 0
W(W - 12) - 4(W - 12) = 0
W - 12 = 0 or W - 4 = 0
W = 12 or W = 4
L = 16 - 4 = 12
Answer:
a) 7/10
b) There is no improper fraction form for this
