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Harrizon [31]
3 years ago
7

What number must be added to the expression below to complete the square? x2+x

Mathematics
1 answer:
iren2701 [21]3 years ago
4 0

Answer:

answer is 1/4

Step-by-step explanation:

proof is (x-1/2)²= x²-2*1/2*x+1/4= x²-x+1/4

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(a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2 + 4x + 7
zysi [14]

Answer:

Step-by-step explanation:

A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.

The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots.  From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.

Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40.  Because the discriminant is negative, we know that the roots will be complex and unequal.

Using the quadratic formula:

       -4 ±√[-40]         -4 ± 2i√10

x  = ------------------ = ------------------

                4                       4

                                       -2 ± i√10

Thus, the roots are x = ------------------

                                               2

4 0
3 years ago
Given sin(−θ)= −1/4 and tanθ= 15√15 .<br><br> What is the value of cosθ ?
dangina [55]

\sin =  \frac{y}{r}  \\  \\   \tan =  \frac{y}{x}  \\ \\ \cos =  \frac{x}{r} \\  \\   {x}^{2}  +  {y}^{2} =  {r}^{2}

-  \sin =  \frac{ - 1  \: =  \: y}{4  \: =  \: r}
15 \sqrt{15}  =  \frac{1}{x}  \\  \\ x = .017
\cos =  \frac{.017}{4}  = .0043
4 0
3 years ago
Two cars leave a rest stop at the same time and proceed to travel down the highway in the same direction one travels at an avera
Alika [10]

The two cars will be 5.5 miles apart after 5.5 hours.

Step-by-step explanation:

Given,

Speed of first car = 57 mph

Time = 5.5 hours

Distance covered by first car = Speed * Time

Distance covered by first car = 57*5.5 = 313.5 miles

Speed of other car = 58 mph

Distance covered by other car = 58*5.5 = 319 miles

Difference = 319 - 313.5

Difference = 5.5 miles

The two cars will be 5.5 miles apart after 5.5 hours.

Keywords: speed, distance

Learn more about distance at:

  • brainly.com/question/10771256
  • brainly.com/question/10772249

#LearnwithBrainly

6 0
3 years ago
37917545 in three different addition expression ways
fenix001 [56]
U minus them?or plus them?
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3 years ago
Draw 2 shapes with a perimeter of 16 and an area of 12. Plz help!!!
torisob [31]
A square with sides of 4 for perimeter and area of a rectangle with length 2 width 6<span />
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