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Marina86 [1]
3 years ago
13

Busca dos números consecutivos de manera que la diferencia de sus cuadrados sea 19

Mathematics
1 answer:
deff fn [24]3 years ago
4 0
The numbers are 9 and 10.

Let x be the first number.  Since they are consecutive, this means (x+1) represents the second number.

The square of x is x².  The square of (x+1) is
(x+1)²=(x+1)(x+1)=x²+1x+1x+1=x²+2x+1

The difference of these squares would be given by
x²+2x+1 - x²

Setting this equal to 19,
x²+2x+1 - x² = 19

Combining like terms,
2x+1=19

Subtract 1 from each side:
2x+1-1=19-1
2x=18

Divide both sides by 2:
2x/2 = 18/2
x = 9

The first number, x, is 9.  This means the second number, x+1, is 9+1=10.
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<span>y = mx + b
3 = 8 + b
3 - 8 = b
-5 = b
m = 4 and b = -5
y = 4x - 5
x = 22:
y = (4 x 22) - 5
y = 88 - 5
y = 83
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Hope This Helps You!
Good Luck Studying :)
7 0
2 years ago
Read 2 more answers
Find the value of x<br> (6x + 7)°<br> (8x - 17)°
Vlad [161]
<h3>Answer:  x = 12</h3>

Explanation:

The two angles shown are vertical angles. This occurs whenever you have an X shape like this, and whenever the angles are opposite one another. Vertical angles are always congruent.

6x+7 = 8x-17

6x-8x = -17-7

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6 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
pogonyaev

By using the general equation for a circle, we will see that the correct options are:

  • 1) This is a circle centered at (-3, - 5) with a radius of 4 units.
  • 2) The center is (-3, 5) and the radius is 2 units.
  • 3) The center is (3, 5) and the radius is 2 units.
  • 4) This is a circle centered at (3, - 5) with a radius of 4 units.

<h3>How to write a circle equation?</h3>

For a circle of radius R and center (a, b), the equation is given by:

(x - a)^2 + (y - b)^2 = R^2

With that in mind, if we look at the first equation:

(x + 3)^2 + (y + 5)^2 = 16 = 4^2

This is a circle centered at (-3, - 5) with a radius of 4 units.

For the second equation:

(x + 3)^2 + (y - 5)^2 = 4 = 2^2

The center is (-3, 5) and the radius is 2 units.

The third equation is:

(x - 3)^2 + (y - 5)^2 = 4 = 2^2

The center is (3, 5) and the radius is 2 units.

The fourth equation is:

(x - 3)^2 + (y + 5)^2 = 16 = 4^2

This is a circle centered at (3, - 5) with a radius of 4 units.

If you want to learn more about circles, you can read:

brainly.com/question/14283575

7 0
2 years ago
the population of a country double every 10 years from 1950 to 1980.what was the percentage increase in population during this t
fredd [130]

700% increase.

Step-by-step explanation:

The duration was 3 decades, or 30 years. The population starts at 100%, then doubles to 200% (decade 1), then 400% (decade 2), then 800% (decade 3).

800% - 100% = 700%

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