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Katyanochek1 [597]
3 years ago
13

How many right triangles have a hypotenuse that measures 2x+5 meters and legs that measure 22xminus−33 meters and x+8 ​meters? w

hat are the dimensions of the​ triangle(s)?
Mathematics
1 answer:
Arturiano [62]3 years ago
3 0
<span>
Δ</span>hello : 
by theorem pytagore : 
(2x+5)² = (22x-33)² + (x+8)²
4x² +20x +25 = 484x²+1452x + 1089 +x²+16x+64
put this expression in the form ax² +bx+c=0
calculate  <span>Δ = b²-4ac   ....cpntibue</span>
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Create and describe a function related to your field (or intended field). Give a detailed explanation of the domain (input) and
Andru [333]

An example of a domain that can be illustrated from the information given will be D(x) = 32.

<h3>Domain and range</h3>

An example based on the information given is "A gas tank in John's car can hold 20 gallons of gas and the car gets 32 miles for every gallon".

John fills up the tank and then goes on a trip. In this case, the distance that will be travelled on one tank will be:

D(x) = 32x

In the above function, it should be noted that the number of gallons can be from 0 to 20. Since he gets 32 miles per gallon, the car can travel 640 miles.

In this case, the domain is the number of gallons that can be used. The number of miles will be the range.

Learn more about domains on:

brainly.com/question/2264373

4 0
2 years ago
Evaluate the function for x = 3a. f(x)=2x^2-3x 4
Dmitry_Shevchenko [17]
Hello,

f(x)=2x^2-3x+4
f(3a)=2(3a)^2-3*(3a)+4=2*9a²-9a+4=18a²-9a+4
5 0
3 years ago
Find all values of x that make the triangles congruent. Explain your reasoning.
RSB [31]

Answer:

x = \frac{4}{5},5

Step-by-step explanation:

If both the triangles ΔABC and ΔBCD are congruent,

Corresponding sides of both the triangles will be proportional.

\frac{AB}{BD}=\frac{AC}{CD}

\frac{5x}{3x+10}=\frac{5x-2}{4x+3}

5x(4x + 3) = (5x - 2)(3x + 10)

20x² + 15x = 15x² + 50x - 6x - 20

20x² + 15x = 15x² + 44x - 20

20x² - 15x² = 44x - 15x - 20

5x² = 29x - 20

5x² - 29x + 20 = 0

5x² - 25x - 4x + 20 = 0

5x(x - 5) - 4(x - 5) = 0

(5x - 4)(x - 5) = 0

x=\frac{4}{5},5

3 0
2 years ago
Caroline’s hair is 7 inches long and grows about ⅕ inch each month. Trinity’s hair is 10 inches long and grows about 1/10 inch e
sashaice [31]
B
I know this right away because notice how it says “EACH month.” When it includes each you have to have an “x” beside the number to make it each month. If you don’t have an x it will just be “a single month.”

Sorry if that’s confusing I’m bad at explaining but have a nice day:))
7 0
3 years ago
Please help me im in need of serious help or ill flunk :(
Aleksandr-060686 [28]

Answer:

1. Interest: 15%

Amount owed: $500

2. Interest: 6%

Amount owed: $1,500

3. Interest: 18%

Amount owed: $12,500

4. Interest: 6%

amount owed: $5,000

Step-by-step explanation:

3 0
2 years ago
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