All categories

2 years ago

Determine the value of x. Assume the segments that appear tangent are tangent

Mathematics

1 answer:

siniylev [52]2 years ago

4 0

9514 1404 393

Answer:

x = 12

Step-by-step explanation:

Segment lengths of each chord have the same product.

(x -2)(x +6) = 9×20

x² +4x -12 = 180

x² +4x +4 = 196 . . . . . add 16 (complete the square)

(x +2)² = 14²

x +2 = 14 . . . . . . . . . . . positive root is the only one useful

x = 12

You might be interested in

Write two expressions that are equivalent to the expression below.<br> (9-0) + (9-c) + (9-c) + (9-C)

Nikolay [14]

Step-by-step explanation:

$4(9 - c) \\ 36 - 4c \\ an \: example \: of \: two \: equivalent \\ expression \: includes \: \\ the \: general \: experssion \: \\ and \: then \: the \: one \: that \: \\ the \: one \: that \: is \: factured$

4 0

3 years ago

12.5g of a medicine cost 1075 naira. what is the cost of 1g medicine

sveticcg [70]

86 Naira; divide 1075 by 12.5 (hopefully this is correct!)

8 0

2 years ago

I need help please!!

dalvyx [7]

Answer:

y=1/2x +2

Step-by-step explanation:

1/2 is the slope, 2 is the y intercept.

3 0

2 years ago

Someone help me please !!!

KIM [24]

Answer:

1. 10

2. 12

3. Sqrt 130

4. Sqrt 45

Step-by-step explanation:

To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is $a^2+b^2=c^2$ where a and b are the legs with a being the smallest and c is the hypotenuse.

1. a=6, b=8, c=?

$6^2+8^2=c^2\\36+64=c^2\\100=c^2\\10=c$

2. a=5, b=?, c=13

$5^2+b^2=13^2\\25+b^2=169\\169-25=b^2\\144=b^2\\12=b$

3. a=7, b=9, c=?

$7^2+9^2=c^2\\49+81=c^2\\130=c^2\\\sqrt{130}=c$

4. a=2, b=?, c=7

$2^2+b^2=7^2\\4+b^2=49\\49-4=b^2\\45=b^2\\\sqrt{45}=b$

5 0

2 years ago

What is sandwich theorem?

nydimaria [60]

In calculus, the squeeze theorem, also known as the pinching theorem, the sandwich theorem, the sandwich rule, the police theorem, the between theorem and sometimes the squeeze lemma, is a theorem regarding the limit of a function. In Italy, the theorem is also known as theorem of carabinieri.

7 0

3 years ago

Read 2 more answers