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Rudik [331]
3 years ago
6

A train travels 50 km in 1 hour and then 96 km in 4 hours what is its average speed​

Mathematics
1 answer:
svet-max [94.6K]3 years ago
8 0

Answer: 37 km per hour

Step-by-step explanation: 96/4=24

24+50=74

74/2=37

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If cos theta = 0.5, find sec theta. A. 0.25 B. 0.5 C. 1 D. 2
Vsevolod [243]
Sec theta = 1/cos theta = 1/0.5 = 2

Option D is the correct answer.
4 0
3 years ago
How is the graph of Y=√X) -5 translated from the graph of √X ?
Tom [10]
Shifted 5 units to the left.
8 0
3 years ago
A car advertisement states that a certain car can accelerate from rest to 70 m/s in 7 seconds. Find the car's average accelerati
Contact [7]

Answer:

The average acceleration of the car will be 10 m/s.

Step-by-step explanation:

70 / 7 = 10 m/s.

5 0
3 years ago
Please explain this to me.
Nutka1998 [239]

Answer:

  • The value of x is 12 units.

Step-by-step explanation:

<u>We know that:</u>

  • Formula: h² = a² + b²

<u>Let's solve using Pythagoras theorem.</u>

  • => 13² = 5² + x²
  • => 169 = 25 + x²
  • => 169 - 25 = x²
  • => 144 = x²
  • => √x² = √144
  • => x = √144
  • => x = 12

Hence, the value of x is 12 units.

3 0
2 years ago
Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)? y = one twelfth(x − 5^)2
ankoles [38]

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y = one twelfth (x - 5)² ⇒ 1st answer

Step-by-step explanation:

The form of the equation of the parabola is  (x - h)² = 4p(y - k), where

  • The vertex of the parabola is (h , k)
  • The focus is (h , k + p)
  • The directrix is at y = k - p  

∵ The focus of the parabola is at (5 , 3)

- Compare it with the 2nd rule above

∴ h = 5

∴ k + p = 3 ⇒ (1)

∵ The directrix is at y = -3

- By using the 3rd rule above

∴ k - p = -3 ⇒ (2)

Solve the system of equations to find k and p

Add equations (1) and (2) to eliminate p

∴ 2k = 0

- Divide both sides by 2

∴ k = 0

- Substitute the value of k in equation (1) to find p

∵ 0 + p = 3

∴ p = 3

Substitute the values of h , k , and p in the form of the equation above

∵ (x - 5)² = 4(3)(y - 0)

∴ (x - 5)² = 12 y

- Divide both sides by 12

∴ \frac{1}{12} (x - 5)² = y

- Switch the two sides

∴ y =  \frac{1}{12} (x - 5)²

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y =  \frac{1}{12} (x - 5)²

Learn more:

you can learn more about the quadratic equations in brainly.com/question/8054589

#LearnwithBrainly

8 0
3 years ago
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