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creativ13 [48]
2 years ago
15

Please help me, I don't know how to do this...

Mathematics
1 answer:
Lunna [17]2 years ago
8 0

Answer:

  A.  5

Step-by-step explanation:

The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.

  (x +1)^2 +x^2 = (√61)^2

  x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses

  2x^2 +2x = 60 . . . . . . .subtract 1, collect terms

  x^2 +x -30 = 0 . . . . . divide by 2, subtract 30

  (x +6)(x -5) = 0 . . . . factor the quadratic

  x = -6 or +5

The solution is x = 5.

_____

Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.

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Answer:C.

Step-by-step explanation:

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4 0
2 years ago
Solving quadratic equations is one of the main topics of this unit. Some quadratic equations can be solved with only one method,
Mariana [72]

Hi there!

Many things we do in everyday life have a variety of ways we can go about accomplishing them, but we most often choose the most practical and efficient method.

Efficiency saves time and prevents over-complication, which may lead to errors.

We might need to identify the specifics of the task and its circumstances to be able to determine the most efficient method to do it.

Solving a quadratic equation, we also must think about the most efficient method that can lead us to the correct answer. And doing so, we must identify the circumstances of the equation; Can it be solved by factoring? Is it easy to factor? What form is this quadratic equation in?

For example, let's say we're given the equation (x-1)(x+2)=0. This is an equation in factored form. In these kinds of scenarios, we can <em>easily</em> solve by setting each term equal to 0 (the Zero Product Property). This is the <em>most efficient </em>method:

x-1=0 --> x=1

x+2=0 --> x=-2

I hope this helps!

7 0
3 years ago
Can somebody help me with my math? <br> Answer ASAP cause nobody will
Ray Of Light [21]
Sure! What’s your question?
3 0
3 years ago
An athlete did one round around a circle of radius 42m.what is the total distance covered by him
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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Help!! YEEEEEEEEEEEEEEEEEET
timofeeve [1]

Answer:

Step-by-step explanation:

Degree of quadratic equation is 2

So, y = (x + 2)² - 6    ; y = x² - 4x + 2  & y = -(x -2)² + 5  are quadratic equation

(a + b)² = a² + 2ab + b²

y = (x + 2)² - 6

y = x² + 2*x*2 + 2² -6

y= x² + 4x + 4 -6

y= x² + 4x - 2

Degree = 2    

y = -(x - 2)² + 5

y = -[ x² - 2*x*2 + 2²] + 5

y = -[x² - 4x + 4)+5

y = -x² + 4x - 4 + 5

y = -x² + 4x + 1

Degree = 2

3 0
3 years ago
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