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
kotykmax [81]
3 years ago
12

1. A right triangle is shown below. Use the Pythagorean Theorem to determine the lengths of each side. Phythagorean Theorem: a2

+ b2 = c2. (2x + 5)(2x + 5) + (x + 3)(x + 3) = (2x + 7)(2x + 7)
Mathematics
1 answer:
erik [133]3 years ago
5 0
This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25

(x + 3)(x + 3) = x^2 + 6x + 9 by the same method

 (2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.

4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5

2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17

Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289

a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer
 


You might be interested in
What is the y-intercept of this graph?
melisa1 [442]

Answer:

The Y-intercept is 0.

Step-by-step explanation:

5 0
2 years ago
The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S
IRINA_888 [86]

Answer:

see the explanation

Step-by-step explanation:

we have

f(x)=\sqrt{-x}

we know that

The radicand of the function cannot be a negative number

so

-x\geq 0

Solve for x

Multiply by -1 both sides

x\leq 0

The domain of the function f(x) is the interval -----> (-∞, 0]

The domain is all real numbers less than or equal to zero

The range of the function f(x) is the interval ----> [0,∞)

The range is all real numbers greater than or equal to zero

<em>Example</em>

For x=144

144\leq 0 ----> is not true

This value of x not satisfy the domain

substitute

f(x)=\sqrt{-144} ----> this value is undefined

For x=-144

-144\leq 0 ----> is true

This value of x satisfy the domain

substitute

f(x)=\sqrt{-(-144)}

f(x)=\sqrt{144}----> this value is defined

therefore

The function will be undefined for all those values of x that do not belong to the interval of the domain of the function

6 0
3 years ago
Read 2 more answers
Plz help me i did it but messed up some ware plz help . 5x5=4x5+9=
Lyrx [107]

Answer: 25=29

Step-by-step explanation:5x5=25

4x5+9=29

5 0
3 years ago
Read 2 more answers
Multiply and give the answer in scientific notation: (2.3 x 10-3)(3 x 108)
bulgar [2K]
<span>(2.3 x 10^-3)(3 x 10^8)
=(</span>2.3 x 3)(10^-3 x 10^8)
= 6.9 x 10^5

hope it helps
6 0
3 years ago
Read 2 more answers
What is the complete factorization of 10x - 3 - 3x 2?
Marianna [84]
50 is the answer did I help u
5 0
3 years ago
Other questions:
  • 24 points plz help me:Katie had 300 pencils she gave 45 of her pencils to Kim what percent of the pencils did Kim get.. ?plz hel
    6·2 answers
  • show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this
    13·1 answer
  • How many halves make up the whole circle
    14·2 answers
  • Help me plz i don't get it
    13·1 answer
  • What is the ratio for markers to erasers?
    15·2 answers
  • Me. Watson is making 34.6 fluid once's of red paint and 18.6 fluid ounces of yellow paint to make orange paint. How many 3.5- fl
    10·1 answer
  • Need answer. pls help​
    8·1 answer
  • For each question:
    7·2 answers
  • Help me please :) . <br> I’ll mark you as a brainliest.
    13·2 answers
  • I dont know…………………..
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!