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Alex73 [517]
3 years ago
9

When (2x-3)^2-3 is subtracted from 5x^2 the result is?

Mathematics
1 answer:
Leto [7]3 years ago
3 0
(2x-3)² - 3 is subtracted from 5x²

Solve the terms within the parenthesis and has exponents. Group like terms and simplify.

(2x-3)(2x-3) ⇒ 2x(2x-3) -3(2x-3) ⇒ 4x² - 6x - 6x² + 9 ⇒ -2x² - 6x + 9

Deduct 3 from the answer of the previous solution.
-2x² - 6x + 9 - 3 ⇒ -2x² - 6x + 6

Deduct the answer of the previous solution from 5x²

5x² - 2x² - 6x + 6 ⇒ 3x² - 6x + 6 

3x² - 6x + 6 can be factored by 3.

3(x² - 2x + 2)

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Solve 3x - 9x + 7 - 3 = -8.<br><br> 6<br> -6<br> 2<br> -2
alexgriva [62]

Answer:

x=2

Step-by-step explanation:

  1. add like terms (3x-9x= -6x, 7-3= 4)
  2. then move the constant to the right (-8+4=-12)
  3. finally divide it by 6 which gives you "x"
5 0
4 years ago
I need help on this question
DiKsa [7]

Answer:

The last one: deciliters to hectoliters.

Step-by-step explanation:

8 0
3 years ago
What is x*x-2x if x = -3
sveticcg [70]

Put the value of x = -3 to the expression x · x - 2x:

<h3>(-3)(-3) - 2(-3) = 9 + 6 = 15</h3>
5 0
3 years ago
The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and
Julli [10]

Answer: 5.9 cm for both triangles.

Step-by-step explanation:

Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 3^2 + 5^2  

c^2 = 9+25

c^2 = 34

c = √34

c = 5.9 cm

Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
The area of triangle ABC is _____.
Marizza181 [45]
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 
SEE ATTACHED IMAGE.
 
Using Heron's Formula we can find the area of the triangle.
 A = root (s (s-a) * (s-b) * (s-c))
 s = (a + b + c) / 2
 Where,
 s: semi-perimeter
 a, b, c: sides of the triangle
 Substituting values:
 s = (15 + 16 + 20) / 2
 s = 25.5
 s = 26
 The area will be:
 A = root (26 * (26-15) * (26-16) * (26-20))
 A = 130.9961832
 A = 130 u ^ 2
 Answer:
 
The area of triangle ABC is:
 
C.
 
130 u ^ 2

5 0
4 years ago
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