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
Shkiper50 [21]
3 years ago
7

Let $\overline{AB}$ and $\overline{CD}$ be chords of a circle, that meet at point $Q$ inside the circle. If $AQ = 6,$ $BQ = 12$,

and $CD = 38$, then find the minimum length of $CQ$.
Mathematics
1 answer:
Cloud [144]3 years ago
3 0

9514 1404 393

Answer:

  2

Step-by-step explanation:

The products of chord lengths are the same for the intersecting chords:

  AQ×BQ = CQ×DQ

  6×12 = CQ×(38 -CQ)

This gives a quadratic in CQ:

  CQ² -38CQ +72 = 0 . . . . . write in standard form

  (CQ -2)(CQ -36) = 0 . . . . . factor the quadratic

  CQ = 2 or 36 . . . . . . . values of CQ that make the factors zero

The minimum length of CQ is 2 units. (DQ will be 36.)

You might be interested in
A graph with no breaks in it
Umnica [9.8K]
A graph that has no breaks in it is called a continuous data
3 0
3 years ago
Mary has to choose between a job and learning French during summer
Andrei [34K]

Answer:

To develop a molecular clock, you need to find which of the following?

a sequence of molecules

the rate at which changes occur in a type of molecule

how much total change has occurred in a type of molecule from two different species

how many molecules a species has

Step-by-step explanation:

To develop a molecular clock, you need to find which of the following?

a sequence of molecules

the rate at which changes occur in a type of molecule

how much total change has occurred in a type of molecule from two different species

how many molecules a species has

4 0
3 years ago
Read 2 more answers
What is n in the equation 12 + 12n = -48
Liula [17]
Hello!

To solve an algebraic equation, you must isolate the variable on one side. We’ll begin by restating the given equation:

12 + 12n = -48

Now subtract 12 from both sides of the equation:

12n = -60

Divide both sides by 12:

n = -5

We have now proven that “n” is equal to (-5).

I hope this helps!
3 0
3 years ago
a basketball player looks directly at the rim that is 10 feet high. the angle of elevation from her eye level, which is 6feet ab
Aneli [31]
Her horizontal distance to the rim satisfies the ratio
  (10 ft -6 ft)/distance = tan(25°)
so the distance is
  distance = (4 ft)/tan(25°) ≈ 9 ft
6 0
3 years ago
54044.55 divided by 100
kaheart [24]
54044.55 ÷ 100 = 540.4455
7 0
3 years ago
Read 2 more answers
Other questions:
  • If A = (8, 2) B = (11, 13) and C = (2, 6), classify the the following triangle as either right or isosceles
    15·2 answers
  • Please help!! In radians, what is the period of the function y = .5cos5x
    7·1 answer
  • In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AC=5 and BH=2, find AH and CH.
    9·1 answer
  • 19. Marianna wants to buy a new tennis racket that
    11·1 answer
  • The length of a rectangle is 6 centimeters and it's area is (6x 18) square centimeters. Write the expression for the width
    5·2 answers
  • Which additional information, if true, would help to prove that ΔLMP ≅ ΔNMP by HL? Select two options. Point P is the midpoint o
    6·2 answers
  • Helpppp plsssssssssssssss
    13·1 answer
  • BEDMASS or PADMASS solve this pls
    7·1 answer
  • Question in the picture!!
    13·2 answers
  • A snail travels at a rate of 2.15 feet per minute . Write a rule to describe the function. b. How far will the snail travel in 7
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!