1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adelina 88 [10]
3 years ago
9

Given circle X with radius 10 units and chord AB with length 12 units, what is the length of segment CX, which bisects the chord

? A. 10 units B. 8 units C. 6 units D. 16 units

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0
Consider the circle with center X, as shown in the figure. 

Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.

Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.

SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is  

\sqrt{ XB^{2}- CB^{2}} = \sqrt{ 10^{2}- CB^{6}}= \sqrt{100-36}= \sqrt{64}=8 units.


Answer: 8 units

You might be interested in
A painting crew reported that a job is 3/5 completed. What fraction of the job remains to be done? ​
Debora [2.8K]

Answer:

2/5

Step-by-step explanation:

7 0
2 years ago
Solve by substitution<br> -4x+y=6<br> -5x-y=21
inn [45]

Answer:

x=-3, y=-6. (-3, -6).

Step-by-step explanation:

-4x+y=6

-5x-y=21

--------------

-9x=27

x=27/-9

x=-3

-5(-3)-y=21

15-y=21

y=15-21

y=-6

7 0
3 years ago
Equation for ( 6, 13) ( 7900, 5 )
tia_tia [17]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y=mx+b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}

Thus, the equation of the line is of the form:

y = - \frac {4} {3947} x + b

We substitute one of the points and find b:

13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}

Finally, the equation is:

y = - \frac {4} {3947} x + \frac {51335} {3947}

Answer:

y = - \frac {4} {3947} x + \frac {51335} {3947}

5 0
3 years ago
Use the given graph of f to estimate the intervals on which the derivative f ' is increasing or decreasing. (Enter your answers
NARA [144]

The derivative of a function is used to determine whether the function is increasing or decreasing on any intervals in its domain.

Derivative of function f is increasing in interval  (-2 , 1) and (3 , 6)

Derivative of function f is decreasing in interval (1 , 3) and (6 , 9)

If f′(x) > 0 at each point in an interval , then the function is said to be increasing in that interval.

If f′(x) < 0 at each point in an interval , then the function is said to be decreasing on that interval.

By observing graph, it is observed that slope  of function f is positive in interval  (-2 , 1) and (3 , 6) . Hence, derivative of  function f is increasing in interval  (-2 , 1) and (3 , 6)

By observing graph, it is observed that slope  of function f is negative in interval  (1 , 3) and (6 , 9) . Hence, derivative of  function f is decreasing in interval  (1 , 3) and (6 , 9).

Learn more:

brainly.com/question/14330051

5 0
2 years ago
A town has a population of 2000 and grows at 4.5% every year. To the nearest
madreJ [45]
21.1 should be the correct answer because 4.5% of 2000 is 90
8 0
3 years ago
Other questions:
  • Helppp me plzzz on 3 through 10!!!!
    10·1 answer
  • Which equation is the inverse of y=x^2-36
    8·2 answers
  • Write two equivalent fractions for 5/10
    8·2 answers
  • In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed sinc
    12·1 answer
  • Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on
    12·1 answer
  • If 28 g of cashew nuts contains 14 g of fats.
    11·1 answer
  • Working as a team, 8 mathletes can solve 20 problems in 10 minutes. At this same rate, how many mathletes are needed in order to
    12·1 answer
  • Find the missing Angles
    6·1 answer
  • Due in 10 minutes please help !! ASAP Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 t
    10·1 answer
  • Yasmin conducted a scientific experiment. For a certain time, the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!