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Ratling [72]
3 years ago
7

The equation of a parabola is given. y=1/4x^2−3x+18 What are the coordinates of the focus of the parabola?

Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0

Answer:

(6,10)

Step-by-step explanation:

Used a calculator

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A world record was set for the men’s 100-m dash in the 2008 Olympic Games in Beijing by Usain Bolt of Jamaica. Bolt "coasted" ac
Andrei [34K]

Answer:

a) v = 12.21m/s

a = 4.07 m/s²

b)v = 11.24m/s

a =  3.75 m/s²

Step-by-step explanation:

a) Dividing the moviment into two parts:

I - With acceleration

v = v₀ + at

s = s₀ + v₀t + at²/2

  • v₀ = 0
  • s₀ = 0
  • a = ?
  • v = ?
  • t = 3s
  • s = x

v = v₀ + at

v = 3a ⇒ a = v/3

s = s₀ + v₀t + at²/2

x = v/3.3²/2

x = 3v/2

II - Uniform

s = s₀ + vt

s = 100

s₀ = x

v = v

t = 9.69 - 3 = 6.69s

s = s₀ + vt

100 = x + v*6.69

100 = x + 6.69v

As x = 3v/2

100 = 3v/2 + 6.69v

100 = 1.5v + 6.69v

100 = 8.19v

v = 12.21m/s

a = v/3 = 4.07 m/s²

b) Dividing the moviment into two parts:

I - With acceleration

v = v₀ + at

s = s₀ + v₀t + at²/2

  • v₀ = 0
  • s₀ = 0
  • a = ?
  • v = ?
  • t = 3s
  • s = x

v = v₀ + at

v = 3a ⇒ a = v/3

s = s₀ + v₀t + at²/2

x = v/3.3²/2

x = 3v/2

II - Uniform

s = s₀ + vt

s = 200

s₀ = x

v = v

t = 19.30 - 3 = 16.30s

s = s₀ + vt

200 = x + v*16.3

100 = x + 16.3v

As x = 3v/2

200 = 3v/2 + 16.3v

200 = 1.5v + 16.3v

200 = 17.8v

v = 11.24m/s

a = v/3 = 3.75 m/s²

8 0
2 years ago
4/10 as a proper fraction
erica [24]

Answer: if you’re talking about simplifying then it would be 2\5.

Step-by-step explanation: all you do is divide two on 4 and 10 and your simplified fraction would be 2/5

6 0
2 years ago
Read 2 more answers
2x – 3y = -5
vampirchik [111]

Answer:

y = 3

Step-by-step explanation:

2x-3y = -5 --------- (1)

y = 2+x ------- (2)

substitute (2) into (1)

2x-3y = -5

2x-3( 2+x ) = -5

2x-6-x = -5

2x-x = -5+6

x = 1

substitute x = 1 into (2)

y = 2+x

y = 2+1

y = 3

4 0
2 years ago
Which equation gives the number of 1/4 centimeter that are in 7/3 centimeter?
Deffense [45]

Answer:

7/8 divided by 1/4 = 7/2

Step-by-step explanation:

Use the reciprocal when dividing fractions. :)

3 0
2 years ago
Jim drove 204 miles in 4 hours. If he can keep the same pace how long will it take him to drive 918 miles
SSSSS [86.1K]
18 hours.

Proportions and stuff.

\frac{204}{4} = \frac{918}{x}

Cross multiply,

204x = 918 * 4

204x = 3672
/204      /204
x = 18

18 hours.
6 0
3 years ago
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