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barxatty [35]
3 years ago
11

The root of *x^2 = 16 areOption 1 [ +4 ]+4(0,4)-4​

Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0

Answer:

The roots of the equation are

<h3>- 4 and 4</h3>

Step-by-step explanation:

First rewrite the expression

That's

x² - 16

16 = 4²

So we have

x² - 4² = 0

Using the identity

<h3>a² - b² = (a + b)(a - b)</h3>

Rewrite the expression

So we have

x² - 4² = 0 is

( x + 4)( x - 4) = 0

x + 4 = 0 x - 4 = 0

x = - 4 x = 4

The roots of the equation are

- 4 and 4

Hope this helps you

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3/4x=-18 what is the answer?
Afina-wow [57]

Answer:

X= 24

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3/4*x-(18)=0

Step by step solution :

Step  1  :

           3

Simplify   —

           4

Equation at the end of step  1  :

  3        

 (— • x) -  18  = 0

  4        

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         18     18 • 4

   18 =  ——  =  ——————

         1        4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (18 • 4)     3x - 72

—————————————  =  ———————

      4              4  

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3x - 72  =   3 • (x - 24)

Equation at the end of step  3  :

 3 • (x - 24)

 ————————————  = 0

      4      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(x-24)

 ———————— • 4 = 0 • 4

    4    

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (x-24)  = 0

Equations which are never true :

4.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3      Solve  :    x-24 = 0

Add  24  to both sides of the equation :

                     x = 24

One solution was found :

                  x = 24

6 0
3 years ago
6. The 2014 winner of the Boston Marathon runs as many as 120 miles per week. During the last few weeks of his
Nadusha1986 [10]

Answer:

Step-by-step explanation:

4 0
2 years ago
Can someone explain this a little better?
galina1969 [7]

Answer:

i believe 0.67 of a chance

Step-by-step explanation:

since there are two jobs and a chance that he won't get either that's three options. so the denominator is three (as a fraction). there are two jobs so the probability of James getting one of the two is 2/3. 2/3 as a decimal is 0.66666 and keeps going on and on forever. Rounded to the nearest hundredth, 0.666666 is 0.67.

4 0
3 years ago
HELPPP PLEASE!!!!!!!!!!!
Svetlanka [38]

Answer:

C

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-2}{4-0} = \frac{-2}{4} = - \frac{1}{2}

the y- intercept is the value of y where the line crosses the y- axis , then

y- intercept = 2

8 0
2 years ago
If BD = 8x - 27 and EC = 2x + 33, find BD.
KonstantinChe [14]
BD= 53 units
Good Luck! <3
4 0
3 years ago
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