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
stellarik [79]
3 years ago
15

Ad is tangent to circle o at d. find ab. round to the nearest tenth if necessary

Mathematics
2 answers:
zimovet [89]3 years ago
8 0

Answer:

(J) 8.4

Step-by-step explanation:

Given: From the given figure, it is given that AD=11, CB=6.

To find: The value of AB.

Solution: Using the tangent-secant segment length theorem that is If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

That is:

(AD)^2=(AC)(AB)

Now, substituting the values, we have

(11)^2=(AB+BC)(AB)

(11)^2=(AB+6)(AB)

121=(AB)^2+6AB

(AB)^2+6AB-121=0

Using the Quadratic formula, we have

AB=\frac{-6{\pm}\sqrt{6^2-4(1)(-121)}}{2(1)}

AB=\frac{-6{\pm}\sqrt{520}}{2}

AB=\frac{-6{\pm}\sqrt{4{\cdot}130}}{2}

AB=\frac{-6{\pm}2\sqrt{130}}{2}

AB=-3{\pm}\sqrt{130}

Since, the value of AB cannot be negative, thus

AB=-3+\sqrt{130}

AB=8.4

which is the required value of AB.

Hence, option J is correct.

Naddik [55]3 years ago
3 0
Check the picture below.

\bf 0=AB^2+6AB-121\implies \stackrel{\textit{using the quadratic formula}}{AB=\cfrac{-6 \pm \sqrt{6^2-4(1)(-121)}}{2(1)}}
\\\\\\
AB=\cfrac{-6 \pm \sqrt{520}}{2}\implies AB=\cfrac{-6 \pm \sqrt{4\cdot 130}}{2}
\\\\\\
AB=\cfrac{-6 \pm \sqrt{2^2\cdot 130}}{2}\implies AB=\cfrac{-6 \pm 2\sqrt{130}}{2}
\\\\\\
AB=-3\pm\sqrt{130}\implies AB=
\begin{cases}
\boxed{-3+\sqrt{130}}\\\\
-3-\sqrt{130}
\end{cases}

since the distance AB cannot be a negative value, thus is not -3-√(130).

You might be interested in
Solve for x. <br> please help real quick
GalinKa [24]

Answer:

(7/2, 0)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The booster club for a high school football team sold adult and student tickets to a banquet.
USPshnik [31]

Answer:

<em>Hi There the correct answer to this is A 14</em>

Step-by-step explanation:

All you really need to do is Add 9 to 5 then you get your answer from 14.

4 0
3 years ago
tickets for a lower level seats sell for $35 each and tickets for an upper level seats sell for $25 each. the theater sells 350
Liono4ka [1.6K]
The work and answer is shown in the image below. Just set the variables and solve.

5 0
2 years ago
It cost $10.50 to buy 3 medium pizzas. How much does it cost to buy 10 medium pizzas?
melomori [17]
It would cost $35 because 10.50 divided by 3 = 3.5x10=35

5 0
2 years ago
Read 2 more answers
It takes you 0.8 of a minute to read each page of your health book. it takes you 5.5 minutes to take the test at the end. how lo
o-na [289]

Answer: 10.5 minutes

Step-by-step explanation:

Given: Time taken to read each page of health book = 0.8 minutes

Time taken to take the test at the end = 5.5 minutes

Let x be the number of pages of book to read, then time taken to read pages and take the test is given by :-

T(x)=0.8x+5.5

If we read 6.25 pages, then time taken to read 6.25 pages and take the test is given by :-

T(6.25)=0.8(6.25)+5.5=5+5.5=10.5\ minutes

5 0
2 years ago
Read 2 more answers
Other questions:
  • 6x^2+2x=3 round to the nearest hundreths
    14·1 answer
  • SOMEONE PLS HELPPP FASTTT<br>The tree height is equal to?​
    14·1 answer
  • What is really answer please help ​
    9·1 answer
  • A line passes through the point (8,-5) and has a slope of -3/4.
    7·1 answer
  • Please help me with this, aaaaaa
    13·1 answer
  • Find a quadratic equation whose roots are 1.5 +√2 and 1.5-√2expressing it in the form of ax^2+bx+c+c=0 where a,b and c are integ
    11·1 answer
  • Angles DAB measure (4x-2) and angles BCD measures 47 degrees.find x
    7·1 answer
  • I need help on this question can some help
    15·1 answer
  • Please help! I will give brainly!
    7·1 answer
  • Select the correct answer Trent is researching what it would take to become a pharmaceutical scientist. What academic requiremen
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!