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
Dafna11 [192]
3 years ago
8

Hi 1-5 already done!!!!!!!!!!

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

Answer:

According to tangents secant segments theorem,

11) x(16+x) = (x + 6)^2

x (16+x) = (x + 6)^2

16x + x^2 = x^2 + 2(6)(x) + 6^2

16x + x^2 = x^2 + 12x + 36

16x - 12x + x^2 - x^2 = 36

4x = 36

x = 36/4

x = 4

13) x(x + 5) = (x + 2)^2

x^2 + 5x = x^2 + 2x 2(2)(x) + 2^2

x^2 + 5x = x^2 + 4x + 4

x^2 -x^2 + 5x - 4x = 4

x = 4

14) x + 8( x + 8 + 32) = (3x) ^2

x + 8(x + 40) = 9x^2

x(x + 8) + 40(x + 8) = 9x^2

x^2 + 8x + 40x + 320 = 9x^2

x^2 + 48x + 320 =9x^2

48x + 320 = 9x^2 - x^2

48x + 320 = 8x^2

Dividing the whole eq. by 8,

6x = 40 = x^2

0 = x^2 - 6x - 40

0 = x^2 - 10x + 4x - 40

0 = x(x - 10) + 4(x - 10)

x - 10 = 0 OR x + 4 = 0

x = 10 OR x = - 4

length cannot be negative, so,

x = 10

15) (x + 3) ( x + 3 + 15) = (2x) ^2

(x + 3) (x + 18) = 4x^2

x(x + 18) + 3(x + 18) = 4x^2

x^2 + 18x + 3x + 54 = 4x^2

x^2 + 21x + 54 = 4x^2

0 = 4x^2 - x^2 - 21x - 54

0 = 3x^2 - 21x - 54

Dividing the whole eq. by 3,

x^2 - 7x - 18 = 0

x^2 - 7x - 18 = 0

x^2 - 9x + 2x - 18 = 0

x(x - 9) + 2 (x - 9)

x + 2 = 0 Or x - 9 = 0

x = -2 or x = 9

length cannot be negative,so,

x = 9

You might be interested in
2x2 + 6x - 20 = 0<br> factor
vitfil [10]
Would it be -10 though
4 0
3 years ago
Read 2 more answers
There are 197 campers at river bend camp. There are 25 more boys than girls at the camp. Each camper collects 83 pine cones. How
emmasim [6.3K]

Answer:

16,351 pine cones are collected.

Step-by-step explanation:

197 * 83 = 16351

7 0
3 years ago
It is 18°C at 8 am, and 14°C by noon. The change in temperature from 8 am to noon is
Mashcka [7]
The answer to the question is B.
6 0
2 years ago
7,014 + 2,415 + 774 + 30 = _____
Cloud [144]

9,459

8,444

23,963

9,304

3,719

7 0
3 years ago
Write an expression to<br> represent the perimeter of<br> the rectangle:<br> 3* +10<br> * +5
Schach [20]

Answer:

the perimeter is 18

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What percent of 180.4 minutes is 25.7 minutes?
    9·2 answers
  • Karl has $1,500. He spends $375 on a phone and of the rest on a gaming system. What percent of his money is spent on the gaming
    14·2 answers
  • The solution to 2x - 5 = 27 is also a solution of which of the following equations?
    13·2 answers
  • Solve the following equation for the variable a.
    14·1 answer
  • Which answer shows line segments that are perpendicular to each other? Two parallel line segments with parallel symbol, no arrow
    9·1 answer
  • What is the next term of the geometric sequence?<br> -16/5 ,8, -20,
    12·2 answers
  • Please help!!
    9·2 answers
  • 17. What cash crops did the Southern Colonies rely on? *
    6·1 answer
  • Pls help need help ASAP pls solve this
    8·1 answer
  • Help me please !!!!!!!!!!!!!!!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!