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
givi [52]
3 years ago
10

Please help ;-; what is the answer?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
7 0

Answer:

  5.7

Step-by-step explanation:

The altitude divides right triangle ABC into similar right triangles ADB and BDC. The ratios of short leg to long leg will be proportional in these similar triangles, so you have ...

  AD/BD = BD/CD

Cross multiplying gives ...

  AD·CD = BD²

  (x+3)(2x+3) = 5²

  2x² +9x = 16 . . . . . perform the multiplication, subtract 9

  2(x² +4.5x) = 16

  2(x² +4.5x +2.25²) = 16 +2(2.25²) . . . . . add 2(2.25²) to complete the square

  2(x +2.25)² = 26.125 . . . . . write as a square

  x +2.25 = √13.0625 . . . . . .divide by 2, take the positive square root

  x = -2.25 +√13.0625 . . . . subtract 2.25 to find x

We want the value of CD, so ...

  CD = 2x +3 = 2(-2.25 +√13.0625) +3

  CD = -1.5 +2√13.0625 ≈ 5.7284

The length of CD is about 5.7 units.

You might be interested in
Can u solve this for me??
dangina [55]

Answer:

19 lawns

Step-by-step explanation:

well 64.99 is about $65

so you would need to mow atleast 19 lawns (this does not included tax XD)

3 0
3 years ago
What is the quotient of 4 2/3s÷4 1/5
SpyIntel [72]

Is the s suppose to be “s” there?

Use the inverse of the 2 number & multiply.

14 * 5

—— ——-

3 21

70/63

Reduced to 10/9 or 1 1/9

5 0
3 years ago
Read 2 more answers
What is 10.73 in word form
Andrej [43]
Ten and seventy-three hundredths
8 0
3 years ago
What is an equation that can be written with 10x+5y=20 to form a pair of linear equations
Lady bird [3.3K]
Y=2x+4 This is the equation
3 0
3 years ago
How to expand (2x+1)(x+1)
Inga [223]
(2x+1)(x+1)
Now multiply 2x to both x and +1
2x^2+2x
Do the same with 1 multiply it to x and +1
2x^2+2x +x+1
Simplify
2x^2+3x+1
8 0
3 years ago
Read 2 more answers
Other questions:
  • Please help for brainliest
    11·1 answer
  • Please Help with this question...Will Mark as Brainliest....Please Explain your work!
    9·1 answer
  • Estimate.<br> 36 x 92 ~ ?
    14·1 answer
  • How should this model be completed to represent 820 ÷ 17
    12·1 answer
  • Help me.... IF A=1, B=2, AND C=929, WHATS C/A x B + B x C
    6·2 answers
  • Translate the phrase into a mathematical expression and then evaluate it. Four squared divided by two cubed.
    11·1 answer
  • Find the zeros of the quadratic function
    6·1 answer
  • Cual es el paso a paso de -15=n+13​
    5·1 answer
  • The vertices of triangle JKL are J(–2, 3), K(1, 6), and L(3, –2). Which type of triangle best describes triangle JKL
    5·1 answer
  • Gabby is 2 kg heavier than her sister who weighs 3.4 kg. what is their combined weight?​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!