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scoray [572]
3 years ago
5

What are the focus and directrix of the parabola with the equation y=1/16x^2

Mathematics
1 answer:
Vlada [557]3 years ago
8 0
Y=1/16x^2
multiplying both sides by 16 we get:
16y=x^2
The general form of a parabola is:
(x-h)^2=4p(y-k)
thus
4p=16
p=4
The parabola opens upwrd:
Focus: (h,k-p)
(0,0-4)
=(0,-4)
Directrix: y=-4
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The hypotenuse of a right triangle is 45 inches,which one of the sides being 18 inches. Find the midding side length. Round to t
bagirrra123 [75]

Answer:

The length of the missing side is 41.24 inches

Step-by-step explanation:

* Lets talk about the Pythagoras theorem

- It used in the right angle triangle

- The hypotenuse is the opposite side to the right angle and it's the

  longest side in the triangle

- The two other sides in the right angle triangle are the legs of

 the right angle

- If the length of the hypotenuse is c units and the lengths of the

 two legs of the right angle area a and b

∴ a² + b² = c² ⇒ c = √(a² + b²)

* Now lets solve the problem

∵ The length of the hypotenuse = 45 inches

∵ The length of one legs of the right angle = 18 inches

- Lets use the Pythagoras theorem

∴ c² = a² + b²

∴ 45² = 18² + b² ⇒ subtract 18² from both sides

∴ b² = 45² - 18² = 2025 - 324 = 1701 ⇒ take square root for both sides

∴ b = √1701 = 41.24 inches

8 0
3 years ago
Read 2 more answers
A gym floor has a perimeter of 615 feet What is the<br> perimeter of the floor in yards?
bogdanovich [222]

Answer:

205 yards

Step-by-step explanation:

One yard is 3 feet

Divide 615 feet by 3 to get 205

4 0
3 years ago
P = 2m + 2w solve for m
nirvana33 [79]
P = 2m + 2w

Add -2w on both sides of the equations

2m = p - 2w

Divide both sides by 2

2w = p      =      2m
 / 2                      /2

m = 1 / 2 p - w


5 0
3 years ago
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Evaluate log2/3 (4/9)​
OlgaM077 [116]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
Let V be the event that a computer contains a virus, and let W be the event that a computer contains a worm. Suppose P(V) = 0.17
ArbitrLikvidat [17]

Answer: 0.82

Step-by-step explanation:

The probability of the computer not containing neither a virus nor a worm is expressed as P(V^{C}∩W^{C}) , where P(V^{C}) is the probability that the event V doesn't happen and P(W^{C}) is the probability that the event W doesn't happen.

P(V^{C})= 1-P(V) = 1-0.17 = 0.83

P(W^{C})=1-P(W) = 1-0.05 = 0.95

Since V^{C} and W^{C} aren't mutually exclusive events, then:

P(V^{C}∪W^{C}) = P(V^{C}) + P(W^{C}) - P(V^{C}∩W^{C})

Isolating the probability that interests us:

P(V^{C}∩W^{C})= P(V^{C}) + P(W^{C}) - P(V^{C}∪W^{C})

Where P(V^{C}∪W^{C}) = 1 - 0.04 = 0.96

Finally:

P(V^{C}∩W^{C}) = 0.83 + 0.95 - 0.96 = 0.82

5 0
3 years ago
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