3 years ago

Find X using the image.

Mathematics

1 answer:

Temka [501]3 years ago

7 0

9514 1404 393

Answer:

x = 2

Step-by-step explanation:

The square of the tangent is equal to the product of the secant lengths to the near and far circle intersections.

(x +4)² = (2x -1)(2x -1 +9)

0 = (2x -1)(2x +8) -(x +4)² = (4x² +14x -8) -(x² +8x +16)

0 = 3x² +6x -24 = 3(x² +2x -8) = 3(x +4)(x -2)

This has solutions x = -4 and x = 2. Only the latter works in this geometry.

x = 2

You might be interested in

Item 3 The Hampton family used 17,158 kilowatts of electricity last year. They used about the same amount of electricity each we

katen-ka-za [31]

17,158/52= 329.96 rounded to the nearest tenth is 330

7 0

2 years ago

Solve for x. Show your work. For each picture, please

finlep [7]

If two secants intersect from a point outside of the circle, then the product of the lengths of the secant and its external segment equals the product of the other secant and its external segment.

#1
5(x+5) = 6(4+6)
5x + 25 = 6 * 10
5x = 60 - 25
5x = 35
x = 7

#2
4(x+4) = 3(5+3)
4x + 16 = 3 * 8
4x = 24 - 16
4x = 8
x = 8/4
x = 2

8 0

3 years ago

Simplify this expression.<br> <img src="https://tex.z-dn.net/?f=2%5Csqrt5%2813%2B%5Csqrt2%29" id="TexFormula1" title="2\sqrt5(13

andreyandreev [35.5K]

Step-by-step explanation:

everything can be found in the picture