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Fed [463]
2 years ago
10

Find the term that must be added to the equation x2 4x=1 to make it into a perfect square.

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

The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.

<h3>What is Quadratic equation?</h3>

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. Since there is no ax2 term, the equation is linear if a = 0, not quadratic.

<h3>Why is it called a quadratic equation?</h3>

This is true because the Latin word quadratum, which means "square," plus the fact that the area of a square with side length x is equal to x2, make up what is known as the quadratic (or "square-like") definition of a polynomial equation with exponent two.

<h3>According to the given information:</h3>

x²+4x=1

as, the x has coefficient 4.

so,

half the coefficient of x and add and subtract the square of the remaining.

x²+4x + 2 ² - 2² =1

Now,

make the whole square term

x²+4x + 2 ² - 4 - 1=0

( x + 2)² -5= 0

To know  more about quadratic equation visit:

brainly.com/question/17177510

#SPJ4

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Trigonometry
Nadusha1986 [10]

55° is equal to 0.9599 radians.  

Step-by-step explanation:  

Step 1:  

If an angle is represented in degrees, it will be of the form x°.  

If an angle is represented in radians, it will be of the form \frac{\pi}{x}radians.  

To convert degrees to radians, we multiply the degree measure by \frac{\pi}{180}.

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)(\frac{\pi}{180}).

Step 2:

To convert 50°,  

55\left(\frac{\pi}{180}\right)=\frac{55\pi}{180}.

0.3055 (\pi) =0.9599 radians.

So 55° is equal to 0.9599 radians.

7 0
3 years ago
Read 2 more answers
Explain the distance formula. Then use it to calculate the distance between A(1,1) and B(7,-7).
Lena [83]
Answer attached, but more letters needed

4 0
3 years ago
PLEASE!!!
ANEK [815]

9514 1404 393

Answer:

  1. 30m +50 = 20m +100
  2. m = 5
  3. yes. symmetric property of equality.

Step-by-step explanation:

1. The expression for c in the first equation is (30m+50). Substituting that for c in the equation ...

  c = 20m +100

gives you ...

  30m +50 = 20m +100

__

2. Adding -50-20m to both sides gives ...

  10m = 50

  m = 5 . . . . . . . divide by 10

__

3. Doing the substitution in reverse, you would substitute (20m+100) for c in the equation ...

  c = 30m +50

to get ...

  20m +100 = 30m +50

This is the equation of part 1 with the expressions swapped to the other side of the equal sign. The symmetric property of equality tells you that changing sides of the equal sign does not change the value of the variable(s).

You get the same solution.

3 0
3 years ago
If BC = 5 and CD = 26, find AC.
Blababa [14]

Answer:

AC=\sqrt{130}

Step-by-step explanation:

AC is the geometric mean.  Solve it using this proportion:

\frac{BC}{AC}=\frac{AC}{CD}

Now fill in the values we know:

\frac{5}{AC}=\frac{AC}{26}

Cross multiply to get

(AC)^2=130

That means that

AC = \sqrt{130}, which, in decimal form is

AC = 11.40175425

3 0
3 years ago
What are the center and radius of a circle defined by the equation x^2+y^2- 6x+ 8y+ 21=0?
Natali5045456 [20]
You have to complete the square. When you do this you get an equation that looks like this: (x-3)^2 + (y+4)^2 = 4. So your center is (3, -4) and your radius is 2. That looks like B to me!!!
4 0
3 years ago
Read 2 more answers
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