Ask question

Ask question

All categories

2 years ago

15

Which equation results from applying the secant and tangent segment theorem to the figure?

2 answers:

gregori [183]2 years ago

6 0

Solution:

The Secant and tangent theorem states that the point where secant and tangent meets ,then square of length of tangent is equal to product of length of two segments .

In the picture depicted below, DE is the Tangent and DB is the length of Secant.Whereas DA is the length of segment which is equal to point of intersection of tangent and secant and secant and circle.

DE²= DA × DB

→12²=10 × (a+10)

Option (C) is correct description.

Alex787 [66]2 years ago

5 0

1. You must apply the Secant and Tangent segment theorem, which establishes:

Tangent²=(The whole secant segment)(External secant segment)

2. The whole secant segment is: AD=a+12

3. The external secant segment is: BD=10

4. The tangent segment is: DE=12

5. Then, you have:

DE²=ADxBD
12²=(a+10)10
10(a+10)=12²

6. Therefore, the answer is the third option: 10(a+10)=12²

You might be interested in

a student concluded that the solution to the equation sqrt 2x+1+3=0 is x=4 Do you agree? Explain why or why not.

Lina20 [59]

Answer:

No.

Step-by-step explanation:

We assume you're concerned with

$\sqrt{2x+1}+3=0$

The sum of a non-negative number and a positive number cannot be zero. The square root is always non-negative.

6 0

2 years ago

Read 2 more answers

The table shows the percent of successful unmanned missions to Mars by each country or agency to the nearest tenth of a percent.

suter [353]

Answer:

C.) <u>India, the European Space Agency, and Other launched a total of 4.5 percent of the successful missions.</u>

<u></u>

<u>EDGE2021</u>

4 0

2 years ago

Which equation is the inverse of y = 2x2 – 8?

natita [175]

The inverse of the function is $y=\pm \sqrt{\frac{x+8}{2}}$

Explanation:

To find the inverse of the equation $y=2x^{2} -8$ , we need to interchange the variables x and y for the variables y and x.

Thus, the equation becomes

$x=2y^{2} -8$

Now, we shall find the value of y.

Now, adding 8 to both sides of the equation, we have,

$x+8=2y^{2}$

Interchanging the sides,

$2y^{2} =x+8$

Dividing by 2 on both sides,

$y^{2} =\frac{x+8}{2}$

Taking square root on both sides,

$y=\pm \sqrt{\frac{x+8}{2}}$

Thus, the inverse of the function is $y=\pm \sqrt{\frac{x+8}{2}}$

5 0

2 years ago

A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif

VashaNatasha [74]

Answer:

(A)

$P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192$

(B)

Then the cumulative function would be

$CF(x) = 1.25x - 0.25x^5$ if 0<x<1

0 otherwise.

Step-by-step explanation:

(A)

We are looking for the probability that the random variable X is greater than 0.8.

$P(X \geq 0.8) = \int\limits_{0.8}^{\infty} f(x) \, dx = \int\limits_{0.8}^{1} 1.25(1-x^4) \, dx = 0.08192$

(B)

For any $x$ you are looking for the probability $P(X \geq x)$ which is

$P(X \geq x) = \int\limits_{-\infty}^{x} 1.25(1-t^4) dt = \int\limits_{0}^{x} 1.25(1-t^4) dt = 1.25x - 0.25x^2$

Then the cumulative function would be

$CF(x) = 1.25x - 0.25x^5$ if 0<x<1

0 otherwise.

5 0

2 years ago

The scatter plot shows a regression line of advertising dollars spent and sales. What advertising dollar has the greatest error

Olenka [21]

Answer:c

Step-by-step explanation:

8 0

2 years ago