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PolarNik [594]
3 years ago
6

A quadratic equation is shown below: 4x2 − 12x + 9 = 0

Mathematics
1 answer:
lys-0071 [83]3 years ago
6 0
A)

The discriminant (radicand) is √(b^2-4ac), let us call this "d" for the discriminant.

If:

d<0, there are no real solutions (though there are two imaginary ones)

d=0, there is one real solution

d>0, there are two real solutions.

In this case, d=12^2-4(4)9

d=144-144

d=0

So there is one real solution.

B)

9x^2-30x+25=0

9x^2-15x-15x+25=0

3x(3x-5)-5(3x-5)=0

(3x-5)(3x-5)=0

(3x-5)^2=0

x=5/3

x=1 2/3
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Six times the sum of a number and twelve is forty. Which equation represents this?
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Answer:

6n + 12 =40

Step-by-step explanation:

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3 years ago
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Solve the equation by elimination
SVEN [57.7K]

Answer:

(1,-7)

Step-by-step explanation:

y= -9x + 2.............equn(1)

y= -3x - 4..........................(2)

subtract equation (1) from equn. (2)

0= -6x + 6

subtract 6 from both sides

0-6= -6x + 6-6

-6 = -6x

divide via by -6

-6/-6 = -6x/-6

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to solve for y, put x in any equation

equation (1)

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5 0
3 years ago
Find the circumference of a circle if the area is 300 square centimeters.
Blababa [14]
The answer is:  [C]:  61.38 cm  .
_______________________________________________

Note:  A = \pi *r²

300 = (3.14) * r² ;
______________________
Divide each side by "3.14" ;

r² = 300/3.14 ; 

r² =  95.5414012738853503 ;

√r² = √(95.5414012738853503) ;

r = 9.7745281867661188048

Circumference, "C" = \pi * d ;  (d = diameter = 2*r);
 
C = 2*\pi*r ;

C = 2*(3.14)*(9.7745281867661188048)

C = 61.384037012891226094144 ; which rounds to answer choice: 
                                                             [C]:  61.38 cm  .
________________________________________________________
8 0
3 years ago
Read 2 more answers
What is the area of triangle ABC in the image below?
babymother [125]

Answer:

It's 31.5

Step-by-step explanation: The formula for right triangle is A=ab/2. A=area, a is one of the legs and b is the other leg. So you had for one leg 9 and for the other 7. You multiple 9 x 7 = 63. 63/2 = 31.5 for the area

7 0
3 years ago
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