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I am Lyosha [343]
2 years ago
13

50 POINTS PLS Help me pls

Mathematics
1 answer:
zimovet [89]2 years ago
8 0

Answer:

The answer is D

Step-by-step explanation:

5 over 9 would be located in between 0.75 and 8 over 9

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Find the missing angle in the triangle below
Deffense [45]

Answer:

125

Step-by-step explanation:

4 0
3 years ago
Find the complex factors of the quadratic trinomial x^2 + 8x +17
Naily [24]

Answer: Factoring  x2+8x+17

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +17

Step-1 : Multiply the coefficient of the first term by the constant   1 • 17 = 17

Step-2 : Find two factors of  17  whose sum equals the coefficient of the middle term, which is   8 .

     -17    +    -1    =    -18

     -1    +    -17    =    -18

     1    +    17    =    18

     17    +    1    =    18

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

1

:

 x2 + 8x + 17  = 0

STEP

2

:

Parabola, Finding the Vertex:

2.1      Find the Vertex of   y = x2+8x+17

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is  -4.0000  

Plugging into the parabola formula  -4.0000  for  x  we can calculate the  y -coordinate :

 y = 1.0 * -4.00 * -4.00 + 8.0 * -4.00 + 17.0

or   y = 1.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2+8x+17

Axis of Symmetry (dashed)  {x}={-4.00}

Vertex at  {x,y} = {-4.00, 1.00}  

Function has no real rootsvSolving   x2+8x+17 = 0 by Completing The Square .

Subtract  17  from both side of the equation :

  x2+8x = -17

Now the clever bit: Take the coefficient of  x , which is  8 , divide by two, giving  4 , and finally square it giving  16

Add  16  to both sides of the equation :

 On the right hand side we have :

  -17  +  16    or,  (-17/1)+(16/1)

 The common denominator of the two fractions is  1   Adding  (-17/1)+(16/1)  gives  -1/1

 So adding to both sides we finally get :

  x2+8x+16 = -1

Adding  16  has completed the left hand side into a perfect square :

  x2+8x+16  =

  (x+4) • (x+4)  =

 (x+4)2

Things which are equal to the same thing are also equal to one another. Since

  x2+8x+16 = -1 and

  x2+8x+16 = (x+4)2

then, according to the law of transitivity,

  (x+4)2 = -1

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x+4)2   is

  (x+4)2/2 =

 (x+4)1 =

  x+4

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x+4 = √ -1

Subtract  4  from both sides to obtain:

  x = -4 + √ -1

In Math,  i  is called the imaginary unit. It satisfies   i2  =-1. Both   i   and   -i   are the square roots of   -1

Since a square root has two values, one positive and the other negative

  x2 + 8x + 17 = 0

  has two solutions:

 x = -4 + √ 1 •  i

  or

 x = -4 - √ 1 •  i

6 0
2 years ago
Read 2 more answers
You have 100 yards of fencing available to create an enclosure for farm animals. As the
Sunny_sXe [5.5K]
1. area of a pentagon when 1 side is x is \frac{x^2}{4}\sqrt{5(5+2\sqrt{5})}
so if perimiter is 100 then one side is 100/5 or 20
area will be \frac{20^2}{4}\sqrt{5(5+2\sqrt{5})}≈<span>688.2 square yards

2. area of a hexagon when 1 side is length x is \frac{3x^2\sqrt{3}}{2}
so if permiter is 100 then length of one side is 100/6 or about 16.666666666666
the area will be \frac{3(16.6666666)^2\sqrt{3}}{2}≈721.7 square yards

3. area of a regular octagon with side lenghts x is 2(1+\sqrt{2})x^2
so if 8 sides then side length of each is 100/8 or 12.5
area will be 2(1+\sqrt{2})12.5^2≈754.4 square yards


octagon wil have most space
you can tell because the more sides it has, the more it gets to a circle and the more area it encloses with a given perimiter
</span>
3 0
3 years ago
Tia was flying her model airplane. it took the airplane 5 seconds to go 90 feet. what was the average rate of speed of the model
9966 [12]
By definition, the speed is given by the quotient between the distance traveled and the time it takes to travel that distance. We have then that the expression for speed is as follows
 v = d / t
 where
 d: distance
 t: time
 Substituting
 v = (90feet) / (5s) = 18feets / s
 answer
 the average rate of the airplane model, in feet per second was 18feets / s
4 0
3 years ago
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Patti has two glue sticks that are partially used . One has 1/5 left and one has 3/10 left. Which glue stick has more glue
leonid [27]

Answer:

The second glue stick

Step-by-step explanation:

5 0
3 years ago
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