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Nonamiya [84]
3 years ago
7

Please help asap! thanks

Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Answer:

Option B

Step-by-step explanation:

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

Now substitute the measures of each side in the formula,

(13)² = x² + (12)²

169 = x² + 144

x² = 169 - 144

x² = 25

x = √25

x = 5

Therefore, Option B will be the correct option.

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Helpppppppppppppppppppppppppppppppppppppppppp
zimovet [89]
Answer:
First choice is the correct one

Explanation:
The given is:
[(x+5) / (x+2)] - [(x+1) / x(x+2)]
First, we will need to have a common denominator and then we will solve the subtraction normally. To get a common denominator, we will have to multiply both numerator and denominator of first term by x.

Therefore:
[(x+5) / (x+2)] - [(x+1) / x(x+2)] = [x(x+5) / x(x+2)] - [(x+1) / x(x+2)]
                                                 = [x(x+5)-(x+1)] / [x(x+2)]
                                                 = (x^2 + 5x - x - 1) / [x(x+2)]
                                                 = [(x^2 + 4x - 1)] / [x(x+2)]

Hope this helps :)

3 0
3 years ago
The sum of squares of two consecutive positive even integers is 52 more than their product. Find these numbers.
natulia [17]

Answer:

The first set of consecutive even integers equals (8 , 6)

The second set is ( - 8 and - 6) which also works.

Step-by-step explanation:

Equation

(x)^2 + (x + 2)^2 = (x)(x + 2) + 52            Remove the brackets on both sides

Solution

x^2 + x^2 + 4x + 4 = x^2 + 2x + 52        Collect the like terms on the left

2x^2+ 4x+ 4 = x^2 + 2x + 52                  Subtract right side from left

2x^2 - x^2 + 4x - 2x + 4 - 52  =  0          Collect the like terms

x^2 + 2x - 48 = 0                                     Factor

(x + 8)(x - 6) = 0

Answer

Try the one you know works.

x - 6 = 0

x = 6

Therefore the two integers are 6 and 8

6^2 + 8^2 = 100

6*8 + 52  = 100

So 6 and 8 is one set of  consecutive even numbers that works.    

========================

What about the other set.

x + 8 = 0

x = - 8

x and x + 2

- 8  and -8 + 2 = - 8, - 6

(- 8 )^2 + (- 6)^2 = 100

(-8)(-6) + 52 = 100

Both sets of consecutive numbers work.


5 0
3 years ago
Read 2 more answers
Which expression represents 5 less thann twice
Gwar [14]

Answer:

2x -5, like that you didn't put enough.

8 0
3 years ago
WILL GIVE BRAINLIEST!!!!!!!!!!!!!! Select the points that are solutions to the system of inequalities. Select all that apply
liq [111]
Hello there!

the solutions to this system of inequalities are every point in the blue area. In order to figure out if each of those choices are solutions, just graph the points, and if they are in the blue, they are solutions.

Using this method, you get A and C as your answers because they are in the blue region.


I really hope this helps!
Best wishes :)
5 0
3 years ago
there are 40 students on a swim team.The coach needs to rent vans to take the team to a swimming competition.Each van can take 6
gayaneshka [121]

Answer:

They will need 7 vans.

7 0
3 years ago
Read 2 more answers
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