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Ahat [919]
3 years ago
5

How would i write The difference of three times a number and 4 is -19 in a equation?

Mathematics
1 answer:
mina [271]3 years ago
3 0

Hi! I'm happy to help!

To solve this, we first have to understand the terms and the way they arrange the equation.

First, we have the difference of ____and_____=. (the "is" after 4 refers to equals)

We will write this as:

_______-_______= ,because difference means subtraction.

For our first blank, we have 3 times a number. Because we do not know this number, we will use a variable.(n) 3 times a number is 3 multiplied by a number. We can just write 3n, because it represent multiplication.

3n-______=

Now, we see the part of the equation after the "and". We just see 4, so we can insert that here:

3n-4=

Now, we see what is shown after the "is".

We just have -19, so we can insert that here:

3n-4=-19

Now, let's solve (not sure if I need to):

To solve for n, we have to isolate it on one side of the equation. To do this, let's cancel out the -4 on the left side of the equation by adding 4 to both sides:

3n=-15

From here, we need to get rid of the 3 next to the n by dividing both sides by 3:

n=-5

<u>So, we write it as 3n-4=-19, and n=-5.</u>

I hope this was helpful, keep learning! :D

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Step-by-step explanation:

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What is an equation of the circle with center (-5,4) and a radius of 7?
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Answer:

Option D

Step-by-step explanation:

Given:

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  • Radius: 7

<u>Formula:</u>

Equation of circle: (x - h)² + (y - k)² = r²

[Where (h, k) is the center point and "r" is the radius of the circle]

<u>Substitute the coordinates of the center point in the formula:</u>

Given center point: (-5, 4)

∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4

  • ⇒ (x - h)² + (y - k)² = r²
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<u>Substitute the radius in the formula:</u>

Given radius: 7

  • ⇒ [x - (-5)]² + [y - 4]² = r²
  • ⇒ [x - (-5)]² + [y - 4]² = (7)²

<u>Simplify both sides of the equation:</u>

  • ⇒ [x + 5]² + [y - 4]² = (7)(7)
  • ⇒ [x + 5]² + [y - 4]² = 49  <u>(Option D)</u>

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