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Mars2501 [29]
3 years ago
6

Use the method of completing the square to transform the quadratic equation into the equation form (x + p)^2 = q. 6+12x+3x^2=0

Mathematics
1 answer:
Mrac [35]3 years ago
3 0
Hello : 
<span>3x²+12x+6=0
3(x²+4x +2) =0
x²+4x+2 = 0
(x²+4x+4)-4+2 = 0
(x+2)² = 2
p=2 and  q=2</span>
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Can someone please help with this and show me in steps will give brainliest?​
alina1380 [7]
A. 3 times 10^4
90000000 divided by 3000 is 30000 which happens to be equal to 3 times 10^4

If you want to learn how to do this just take your whole number ex: 3 and put 10^6 and you will have 3 followed by 6 zeros. The ^ is just how many zeros will follow your whole number at first.
5 0
3 years ago
Convert 45/10 into a mixed number
Maksim231197 [3]

Answer:

4 5/10

Step-by-step explanation:

Divide. You will have a remainder. Put the remainder over the denominator:

45/10 = 40/10 + 5/10 = 4 5/10

4 5/10 is your answer.

~

7 0
3 years ago
Read 2 more answers
Plz help, The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
8_murik_8 [283]

Answer:

The real solutions of f(x)=0 are: 0, 2, 5, 6

Step-by-step explanation:

We are given:

The graph of y = f(x)

We need to find all of the real solutions of f(x) = 0?

By looking at the graph we need to find the values of y when x =0

Looking at the graph, when x=0 we get

0, 2,5 and 6

So, the real solutions of f(x)=0 are: 0, 2, 5, 6

I am attaching the figure, that determines the answers.

8 0
3 years ago
Rhombus ADEF is inscribed in △ABC such that the vertices D, E, and F lie on the sides AB , BC , and AC respectively. Find the si
Oksanka [162]
<h3>Answer:</h3>

3 11/15 cm

<h3>Step-by-step explanation:</h3>

AE is the angle bisector of ∠A, so divides the sides of the triangle into a proportion:

... BE:CE = BA:CA = 7:8

Then ...

... BE:BC = 7 : (7+8) = 7:15

ΔDBE ~ ΔABC, so DE = 7/15 × AC

... DE = 7/15 × 8 cm = (56/15) cm

... DE = 3 11/15 cm

3 0
3 years ago
The lengths of three sides of a quadrilateral are shown below:
sasho [114]

Part A: To find the lengths of sides 1, 2, and 3, we need to add them together. We can do this by combining like terms (terms that have the same variables, or no variables).


(3y² + 2y − 6) + (3y − 7 + 4y²) + (−8 + 5y² + 4y)


We can now group them.


(3y² + 4y² + 5y²) + (2y + 3y + 4y) + (-6 - 7 - 8)


Now we simplify


12y² + 9y - 21


Part B: To find the length of the 4th side, we need to subtract the combined length of the 3 sides we know from the total length (perimeter).


(4y³ + 18y² + 16y − 26) - (12y² + 9y - 21)


Simplify, subtract like terms.


4y³ + (18y² - 12y²) + (16y - 9y) + (-26 + 21)


4y³ + 6y² + 7y - 5 is the length of the 4th side.


Part C (sorry for the bad explanation): A set of numbers is closed, or has closure, under a given operation if the result of the operation on any two numbers in the set is also in the set. For example, the set of real numbers is closed under addition, because adding any two real numbers results in another real number. Likewise, the real numbers are closed under subtraction, multiplication and division (by a nonzero real number), because performing these operations on two real numbers always yields another real number.

<em>Polynomials are closed under the same operations as integers. </em>

7 0
3 years ago
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