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
gogolik [260]
4 years ago
13

Can someone plz help me with 11,12,13 plz show work

Mathematics
1 answer:
dimaraw [331]4 years ago
6 0

Answer:

  11.  x = -3+√37 ≈ 3.08276

  12.  x = 11.2

  13.  x = -6 +6√5 ≈ 7.41641

Step-by-step explanation:

In each case, the relation of interest is ...

  (distance to circle near) × (distance to circle far) = (distance to circle near) × (distance to circle far)

When there is only one point of intersection of the secant with the circle—because it is a tangent—then the product is the square of the length of the tangent.

11. 2(2+12) = x(x +6)

  x² +6x -28 = 0

  (x +3)² -37 = 0

  x = -3+√37 ≈ 3.08276

12. 5(5+x) = 9(9)

  5x +25 = 81

  x = 56/5 = 11.2

13. x(x +12) = 12(12)

  x² +12x -144 = 0

  (x +6)² -180 = 0

  x = -6 +√180 ≈ 7.41641

_____

<em>Comment on this secant rule</em>

This rule turns out to apply whether the point of intersection of the secant lines is outside the circle (as in these problems) or inside the circle (as in problem 9). The product of the two distances from the point of intersection to the circle is a constant for a given pair of intersecting secants/chords.

You might be interested in
PLEASE PLEADE HELP!!
andreev551 [17]

By looking at the diagram, we see that angle C is 45 degrees, angle A is 90 degrees, and angle B is unknown

Given that the sum of all the triangle's angle is 180 degrees, angle B is also 45 degrees

This means that we have a 45-45-90 triangle, which has some special properties as shown in the diagram I uploaded.

Thus <u>BC in the simplest term is </u>14\sqrt{2}

Hope that helps!

Download pdf
8 0
3 years ago
1. 12 – 6 ÷ 2 + 1
n200080 [17]
1. 10           division comes first :)
2. 3        division comes first :)

3. 29            division, then multiplication comes first :)
4. 32         8 x 4 :)

5. $5.00        $10.00 - $5.00 :)

6.  870            48 x 8, then 54 x 9 :)
Glad I could help, and good luck :)

7 0
3 years ago
Read 2 more answers
A rectangular box has the following dimensions L= 6 cm W= 5 cm H= 2 cm. What is the volume of the box? *
Oksanka [162]

Answer:

Volume=LXWXH

=(6cmx5cm)x2cm

=30cm²x2cm

60cm²

Step-by-step explanation:

8 0
3 years ago
Which graph represents r = -5 sin(theta)<br>Edit: Its the second graph
soldi70 [24.7K]

Answer:

is it math or science

Step-by-step explanation:

tobrhonestIreallyhatemathhhuhuu

4 0
3 years ago
Read 2 more answers
twice the smaller of two consecutive integers increased by the larger integer is at least 25. what is the number?
stira [4]
x,x+1-\ two \ consecutive\ numbers\\\\&#10;2x+x+1\geq25\\\\&#10;3x+1\geq25\ \ \ | subtract\ 1\\\\&#10;3x\geq24\ \ \ | divide\ by\ 3\\\\&#10;x\geq8\\\\&#10;It\ is\ 8\ or\ greater\ number.
3 0
4 years ago
Other questions:
  • Alyssa got a job as a part-time waitress at a diner. She earns a daily wage of $50 and a 20% tip from the bill amount of the cus
    15·1 answer
  • 4x+12=0 how do you solve
    5·2 answers
  • I need to find Y=Mx+b. I found M but i forgot how to find B. Help
    14·1 answer
  • A human red blood cell is about 0.00000 8 in diameter. Put this number in scientific notation.​
    15·1 answer
  • Please help me with these two problems
    14·1 answer
  • Luke received an inheritance of $15000 that he divided into three parts and invested in three ways: in a money-market (x) fund p
    9·1 answer
  • On friday, 80 children and 48 adults went to a movie. what was the ratio of children to adults?
    15·2 answers
  • What is the median of the following numbers? 6,4,1,9,3,8,3,5,10​
    11·1 answer
  • Gant Accounting performs two types of services, Audit and Tax. Gant’s overhead costs consist of computer support, $267000; and l
    6·1 answer
  • Find the value of the trig function indicated
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!