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Lera25 [3.4K]
3 years ago
7

What is the solution to the equation 2 2/5 + r = 5 2/5 ?

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0

Answer: r=3

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

<u></u>r+12/5=27/5<u></u>

<u></u>

<u>Subtract 12/5 from both sides</u>

<u></u>r+12/5-12/5=27/5-12/5<u></u>

<u></u>r=3<u></u>

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Which of the following is the equation for the graph shown?
Nina [5.8K]

The equation of the hyperbola is \frac{x^2}{4} -\frac{y^2}{12} = 1

<h3>How to determine the equation of the graph?</h3>

The points on the graph are given as:

  • (2, 0) and (-2, 0)
  • (4, 0) and (-4, 0)
  • Lines at: x = 1 and x = -1

The hyperbola can be represented as:

\frac{x^2}{b^2} -\frac{y^2}{a^2} = 1

The points (2, 0) and (-2, 0) means that:

b = \±2

Square both sides

b^2 = 4

So, we have:

\frac{x^2}{4} -\frac{y^2}{a^2} = 1

Also, we have:

a^2 = c^2 - b^2

Where c = 4

This gives

a^2 = 4^2 - 4

Evaluate

a^2 = 12

Substitute a^2 = 12 in \frac{x^2}{4} -\frac{y^2}{a^2} = 1

\frac{x^2}{4} -\frac{y^2}{12} = 1

Hence, the equation of the hyperbola is \frac{x^2}{4} -\frac{y^2}{12} = 1

Read more about hyperbola at:

brainly.com/question/27799190

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8 0
2 years ago
What is the image of the point (-2, 4) under a 90° rotation about the origin?
Anon25 [30]

Answer:

(- 4, - 2 )

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

(- 2, 4 ) → (- 4, - 2 )

5 0
3 years ago
The equation for (30x+4) is
antoniya [11.8K]

Answer:

2(15x + 2)

6 0
3 years ago
The ratios of the angles in ABC is 3:5:7. Find the
Kazeer [188]

So you have a diagram or picture of the triangle?

Anyways...

Answer: 36

Explanation:

3:5:7 is the ratio of the triangle's angles

The sum of all angles = 180 degrees.

3 + 5 + 7 = 15

Lets assume 'a' is the smallest angle with the ratio of 3

b is the second largest with a ratio of 5

And c is the largest angle with the ratio of 7

In other words:

a + b + c = 180

For 15 to get to 180 => 180 ÷ 15 = 12

So 15 × 12 = 180

So for 3 to get to a => 3 × 12 = 36

Thus the smallest angle is 36 degrees

8 0
3 years ago
Read 2 more answers
Simplify by dividing three over five divided by negative four over nine.
gladu [14]

Answer:

-27/20

Step-by-step explanation:

3/5   /   -4/9 =  3/5  * 9/-4=    -27/20

5 0
4 years ago
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