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r-ruslan [8.4K]
3 years ago
5

Solve by completing the square: 6x^2+39=5+12x

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0
6x^2-12x=-34
x^2-2x=-34/6
x^2-2x=-17/3

x^2-2x+1= -17/3+1/1
x^2-2x+1= -14/3

(x-1)^2= -14/3
x-1= √-14/3

Final answer: No solution (you cannot find the root of a negative number)
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The sum of two numbers is ten. One number is twenty less than four times the other. Find the numbers
Brut [27]

Answer:

6 and 4

Step-by-step explanation:

Let one number be x.

Then another will be : 4x - 20

In accordance with the question;

x + 4x - 20 = 10

5x = 10 + 20

x = 30/5

= 6

x = 6

4x - 20 = 4×6 - 20 = 4

So, the numbers are 6 and 4.

5 0
2 years ago
2)<br> A circle has a radius of 8 cm. What is its circumference?<br> 8 cm
egoroff_w [7]

Answer

16π cm ≈ 50.2655 cm

Step-by-step explanation

To find the circumference of a circle, we can use the equation C = 2πr.

C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.

The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.

Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.

C = 2πr (plug in 8 cm for the radius)

C = 2π * 8

C = 16π cm

Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).

16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value

C = 16π

C ≈ 16 * 3.1416

C ≈ 50.2655 cm rounded to four decimal places

6 0
3 years ago
X and Y are continuous values, both measured to 2 significant figures. X=230 and Y=400. work out the greatest possible value of
kirill115 [55]
"Two significant figures" means that a digit after the second one could actually be anything ... it wasn't measured. 'X' could be anything from 230 to 239. 'Y' could be anything from 400 to 409. The greatest possible value of that fraction is. (239)/(409 squared) .
8 0
3 years ago
Where would you place .33 on the Venn diagram?
Mice21 [21]

it is a rational number  (intergers are  plus and minus whole numbers)

7 0
3 years ago
Not sure how to solve the problem in the pic :)
yulyashka [42]

Answer:

C.

Step-by-step explanation:

do the division first then subtract 11

x/3 - 11

8 0
3 years ago
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