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docker41 [41]
3 years ago
8

I need help

Mathematics
1 answer:
dangina [55]3 years ago
4 0

Answer:

a)  x =3 and x=5

c)  x =-1 and x = \frac{-7}{3}

i)  x =0 and  x = \frac{-9}{2}

Step-by-step explanation:

a)

Given that the quadratic equation

    x² - 8x +15 =0

The factors of 15 = 5 × 3

   x² - 5x -3x +15 =0

  x(x -5) -3(x-5) =0

  (x-3)(x-5) =0

x =3 and x=5

c)

  3 x² + 10 x +7 =0

⇒   3x² + 3x + 7x +7 =0

⇒   3x (x +1) +7(x+1) =0

⇒  (x+1) ( 3 x +7) =0

⇒  x =-1 and x = \frac{-7}{3}

i)

     2 x ² + 9 x =0

⇒ x( 2 x + 9) =0

⇒ x =0 and 2 x = -9

⇒ x =0 and  x = \frac{-9}{2}

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Answer question below.
12345 [234]

The speed of the Elvira is 6.545 miles per hour. Then the speed of the Altheia will be 0.545 miles per hour.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Let the speed of the Elvira be x. Then the speed of the Altheia will be (x - 6).

Let the distance between the coffee shop and Elvira's house be d.

Then the distance between the coffee shop and Altheia's house will be (3.6 - d).

Then we have

x = d / 0.5 ...1

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In solving the equations 1 and 2, we have

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Answer- KG⎯∥JH⎯

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Reflection of figure CDEF and shifting it by 3 units does not change the shape of the figure but changes only its position in the x-y plane.

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A) A net is a two-dimensional pattern for a solid.

<h2>Step-by-step explanation:</h2>

In fact, a net is a two-dimensional pattern for a solid. But what is a solid? They are three-dimensional shapes. Prisms, cubes, pyramids, among others, are examples of solids. For example, the first figure below is a net because is a two dimensional patter for a pyramid which is shown in the second figure. As you can see, the first figure is a two-dimensional patter for this three-dimensional shape. Hence, by unfolding the pyramid we get the net or, in other word, by folding the net we get the pyramid.

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