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Stolb23 [73]
3 years ago
13

HELP PLEASE!!!

Mathematics
2 answers:
alexira [117]3 years ago
5 0

Answer:

100

Step-by-step explanation:

Step 1:

Multiple 14.1 by 9 = 126.9

Step 2:

Round to the significant figure

Step 3:

Answer is 100

Ymorist [56]3 years ago
4 0

Answer:

100

Step-by-step explanation:

We are given that an expression

14.1\cdot 9

We have to simplify  the expression by using the rules of significant figures

In 14.1 , three significant figures

In 9, only one significant figure

We know that in multiply

Least number of significant figures in any number of the expression determine the significant figures in the answer.

14.1\cdot 9=126.9

Therefore, by using this rule

The answer is 100.

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Or you could do the division that the fraction shows.
Divide 11 by 5, and find the other way to write it . . . . . <u>2.2</u> .
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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

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Step-by-step explanation:

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