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astraxan [27]
3 years ago
15

Let the x and y represent the tens digit and ones digit of a two digit number respectively. The sum of the digits of a two-digit

number is 9. If the digits are reversed, the new number is 27 more than the original number. What is the original number?
Mathematics
1 answer:
olga2289 [7]3 years ago
4 0

Answer:  

The Original Number is 36 :)

explanation:

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The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
timofeeve [1]

Given:

The equation of a circle is

x^2+y^2=169

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

m=\dfrac{y_2-y_1}{x_2-x_1}

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

m_1=\dfrac{5-0}{12-0}

m_1=\dfrac{5}{12}

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

m\times m_1=-1

m\times \dfrac{5}{12}=-1

m=-\dfrac{12}{5}

Therefore, the gradient or slope of the tangent line l is -\dfrac{12}{5} .

6 0
2 years ago
All students chose a sport 40% chose Football, 37.5% chose baseball 18 chose other sports. How many students particpated?
Arlecino [84]
The answer would be 80 students
7 0
2 years ago
Read 2 more answers
2.
victus00 [196]

Answer:

With a vertex (h, k) at (0, 3) and given that  a = -3, then the equation of this parabola in vertex form is as follows:

    y = a(x - h)2 + k

    y = -3(x - 0)2 + 3

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Step-by-step explanation:

7 0
3 years ago
PLEASE HELP!! i dont understand it
andreev551 [17]

Answer:

 a.  y^ -1 = e^x    +2

Step-by-step explanation:

y = ln (x-2)

Exchange x and y

x = ln (y-2)

Solve for y

Raise each side with a base of e

e^ x = e^(ln(y-2)

e^x = y-2

Add 2 to each side

e^x  +2 =y

6 0
3 years ago
What is the common ratio between successive terms in a sequence?<br> 1.5, 1.2,0.96, 0.768, ...
Vanyuwa [196]

9514 1404 393

Answer:

  0.8

Step-by-step explanation:

The ratio of the first two terms is ...

  1.2/1.5 = 4/5 = 0.8

That is also the ratio of successive adjacent terms.

  0.96/1.2 = 0.768/0.96 = 0.8

The common ratio is 0.8.

6 0
3 years ago
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