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ella [17]
4 years ago
15

When you reverse the digits in a certain two-digit number you increase its value by 27. find the number if the sum of its digits

is 15?
Mathematics
1 answer:
Vladimir79 [104]4 years ago
6 0
The unknown number is 69.

*If you reverse 69, it would be 96. Thus, increasing its value by 27. 
96 - 69 = 27

*The sum of its digits 6 and 9 equals to 15. 
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Line g has a slope of -4/7. Which of the following equations represents a line that is perpendicular to line g?
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Plot six lines. Each line should pass through the origin and one of the six points. One is done for you.
frutty [35]
<h3>Solution (Line 2): <u>(Refer to graph 1)</u></h3>

<u>Note that:</u>

  • Given points: (0, -2) and (1, -4)
  • Slope formula: Rise/Run
  • Point slope form formula: y - y₁ = m(x - x₁)

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

<u>Use the slope formula to find the slope.</u>

  • Rise/Run = Slope
  • => Rise = -2; Run = 1
  • => Rise/Run = -2/1 = -2

<u>Use the point slope form formula.</u>

  • y - y₁ = m(x - x₁) = Equation of line.
  • => y - (-4) = -2(x - 1) = Equation of line.
  • => y + 4 = -2x + 2
  • => y = -2x + 2 - 4
  • => y = -2x - 2
<h3>Solution (Line 3): <u>(Refer to graph 2)</u></h3>

<u>Note that:</u>

  • Given points: (0, -2) and (-4, 3)
  • Slope formula: Rise/Run
  • Point slope form formula: y - y₁ = m(x - x₁)

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

<u>Use the slope formula to find the slope.</u>

  • Rise/Run = Slope
  • => Rise = -5; Run = 4
  • => Rise/Run = -5/4

<u>Use the point slope form formula.</u>

  • y - y₁ = m(x - x₁) = Equation of line.
  • => y - 3 = -5/4{x - (-4)} = Equation of line.
  • => y - 3 = -5/4{x + 4}
  • => y - 3 = -5x/4 - 5
  • => y = -5x/4 - 2
<h3>Solution (Line 4): <u>(Refer to graph 3)</u></h3>

<u>Note that:</u>

  • Given points: (0, -2) and (-3, -5)
  • Slope formula: Rise/Run
  • Point slope form formula: y - y₁ = m(x - x₁)

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

<u>Use the slope formula to find the slope.</u>

  • Rise/Run = Slope
  • => Rise = 3; Run = 3
  • => Rise/Run = 3/3 = 1

<u>Use the point slope form formula.</u>

  • y - y₁ = m(x - x₁) = Equation of line.
  • => y - (-5) = 1{x - (-3)} = Equation of line.
  • => y - (-5) = 1{x + 3}
  • => y + 5 = x + 3
  • => y = x - 2

Hoped this helped!

5 0
2 years ago
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4 years ago
There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records,
guajiro [1.7K]

Answer:

There are <u>72 inches</u> in 6 feet.

Step-by-step explanation:

Given:

There are 12 inches in 1 foot.

Jada is working on improving her vertical jump.

Currently, her standing reach is 6 feet from the ground.

Now, to find the inches in 6 feet.

Let the inches in 6 feet be x.

As given:

In 1 foot there are 12 inches.

<em>So, 1 foot is equivalent to 12 inches.</em>

<em>Thus, 6 feet is equivalent to </em>x<em />

Now, to find using cross multiplication method:

\frac{1}{12} =\frac{6}{x}

<em>By cross multiplying we get:</em>

x=72

So, the inches in 6 feet = 72.

Therefore, there are 72 inches in 6 feet.

3 0
4 years ago
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