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Morgarella [4.7K]
3 years ago
12

Find the least common denominator. (Enter the denominator only.) 1/2, 5/6

Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Answer:

6

Step-by-step explanation:

2 goes into 6 evenly so two times three equals six so you multiply 1 by three and it gives you 3/6

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A spinner has red, green, blue and orange sections. The probability of landing on red is 2/3,on green 1/12, on blue is 1/12. Wha
lesya [120]

Answer: P(landing on orange)=1 - [2/3 + 1/12 + 1/12]

so <em><u>=1/6</u></em>

7 0
2 years ago
Graph the line given by 5x+6y=12 and the circle given by x²+y²=1.Find all solutions to the system of equations.
kenny6666 [7]

Answer:

The system has no real solution.

Step-by-step explanation:

Hi there!

We have the following system of equations:

x² + y² = 1

5x + 6y = 12

The solutions of the system are those (x,y) pairs that satisfy both equations.

Let´s take the second equation and solve it for y:

5x + 6y =12

subtract 5x to both sides of the equation

6y = 12 - 5x

divide by 6 both sides

y = (12- 5x)/6

Now, let´s replace the y in the first equation:

x² + y² = 1

x² + [(12- 5x)/6]² = 1

Apply distributive property

x² + (12 - 5x)²/36 = 1

x² + (12 - 5x)(12 - 5x)/36 = 1

Apply distributive property

x² + (144 - 120x + 25x²)/36 = 1

Apply distributive property

x² + 4 - 10/3 · x + 25/36 · x² = 1

subtract 1 to both sides

61/36 · x² - 10/3 · x + 3 = 0

Using the quadratic formula, let´s find the solutions to this quadratic equation:

a = 61/36

b = -10/3

c = 3

[-b ± √(b² - 4ac)]/2a

[10/3 ± √(100/9 - 4(61/36)(3))]/2(61/36)

(10/3 ± √-83/9)/61/18

This expression has no real solution because √-83/9 is not defined in the set of real numbers. This means that both curves don´t intersect (see attached figure).

Have a nice day!

3 0
3 years ago
How many different triangles can be drawn with the angle measures 90 45 and 45
Yuri [45]
Infinitely many, but they will all be proportional to each other
7 0
2 years ago
What is the length, in feet, of the rope?
Rashid [163]

total length = total perimeter of dance floor

20 x 2  + 30 x 2 =

40 + 60 =

100 feet

Answer is D. 100



 please mark brainliest

6 0
3 years ago
I don’t understand this question at all. Someone please HELP!
DochEvi [55]

Answer:

( x+12) ( x+ 5)

Step-by-step explanation:

x^2 + 17x + 60

What 2 numbers multiply to 60 and add to 17

12* 5 = 60

12 +5 = 17

( x+12) ( x+ 5)

6 0
3 years ago
Read 2 more answers
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