What is the length of YX?

Mathematics

1 answer:

lozanna [386]4 years ago

4 0

Answer:

15.87 meters.

Step-by-step explanation:

We have been given a diagram of a circle and we are asked to find the length of segment YX.

We can see that line YX is tangent of our given circle and line VZ is secant of our circle.

To find the length of YX we will Tangent-Secant theorem, which states that the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.

Using Tangent-Secant theorem we can set an equation to solve for YX as:

$(YX)^2=9*(19+9)$

$(YX)^2=9*(28)$

$(YX)^2=252$

Let us take square root of both sides of our equation.

$YX=\sqrt{252}$

$YX=15.874507866\approx 15.87$

Therefore, the length of YX is 15.87 meters.

You might be interested in

Multiples of 16984 is what I need

goldfiish [28.3K]

To find multiples of a number, simply multiply the number by any whole number. So, I've calculated the first ten mutliples of 16984 for you.
1 * 16984 = 16984
2 * 16984 = 33968
3 * 16984 = 50952
4 * 16984 = 67936
5 * 16984 = 84920
6 * 16984 = 101904
7 * 16984 = 118888
8 * 16984 = 135872
9 * 16984 = 152856
10 * 16984 = 169840

Hope this helps! :)

6 0

3 years ago

you toss a ball that travels on the path y= -0.1x^2 + 2x+4 where x and y are measured in meters. Sketch the path of the ball. Ho

Y_Kistochka [10]

Answer:

The ball goes 14 meters high

Step-by-step explanation:

Given the function

y= -0.1x^2 + 2x + 4

In the figure attached, the function is shown.

The maximum height is equivalent to the vertex of the function, which is obtained as follows:

Xv = -b/(2a) = -2/(2*-0.1) = 10