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nadya68 [22]
2 years ago
11

| 15. Write an equation and solve.

Mathematics
1 answer:
docker41 [41]2 years ago
4 0

Answer:

The value x in the equation 50=14+x+7+2x-1 is 10

Step-by-step explanation:

Given that the length of one side of a triangle is 14 inches

Let a be the length of one side

Therefore a=14 inches

The length of second side in x+7 inches

Let b be the length of second side

b=x+7 inches.

The length of third side is 2x-1 inches

Let c be the length of third side

c=2x-1 inches

And perimeter of the triangle =50 inches

Perimeter of a triangle =a+b+c

Equation can be written as

50=14+x+7+2x-1

50=20+3x ( adding the like terms )

Rewritting as below

3x+20=50

3x+20-50=50-50

3x-30=0

3x-30+30=0+30

3x=30

x=\frac{30}{3}

Therefore x=10

The value of x is 10

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For a quadratic of the form f(x)=ax^2+bx+c, we have the quadratic formula 
x=\dfrac{-b \pm \sqrt{b^2 -4ac}  }{2a},
where a is the coefficient (number before the variable) of the squared term, b is the coefficient of the linear term, and c is the constant term.

So, given 2x^2-16x+27=0, we can get that a=2, \ b=-16, and c=27. We substitute these numbers into the quadratic formula above.

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This is our final answer.

If you've never seen the quadratic formula, you can derive it by completing the square for the general form of a quadratic. Note that the \pm symbol (read: plus or minus) represents the two possible distinct solutions, except for zero under the radical, which gives only one solution.
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Please help, refer to the picture for information.
aleksklad [387]

Answer:

b

Step-by-step explanation:

Using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (4, 1)

d = \sqrt{(4+1)^2+(1-4)^2}

  = \sqrt{5^2+(-3)^2}

  = \sqrt{25+9} = \sqrt{34} → b

5 0
3 years ago
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