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2 years ago

The area of a square is 64 square units. How many units long is each of its sides?

Mathematics

1 answer:

skelet666 [1.2K]2 years ago

3 0

<h2>Area of a square = side × side</h2>

Let the side = x

${x}^{2} = 64 \\ x = \sqrt{64} \\ x = 8$

<h3>Length of each side = 8 units</h3>

.... Hope this will help....

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A line has a slope of 5 and passes through the point (-1,2).

Andreyy89

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

By point-slope form:

$y$ - $y_{1}$ =m( $x-x_{1}$ )

Substitute the values in formula:

y-2=5(x+1) (It is the point slope form)

Now,

Slope intercept form:

y-2=5x+5

y=5x+5+2

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vampirchik [111]

Answer:

Solution of equation ( x ) = 7

Step-by-step explanation:

In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.

Solution : -

 $\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )$ 

Step 1 : Removing parenthesis :

$\quad \longrightarrow \:20x - 8 = 18x + 6$

Step 2 : Adding 8 from both sides :

$\quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8$

On further calculations we get :

$\quad \longrightarrow \:20x = 18x + 14$

Step 3 : Subtracting 18 from both sides :

$\quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}$

On further calculations we get :

$\quad \longrightarrow \:2x = 14$

Step 4 : Dividing with 2 on both sides :

$\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }$

On further calculations we get :

$\quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}$

Therefore, solution of this equation is 7 or we can say that value of this equation is 7 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

4 ( 5x - 2 ) = 2 ( 9x + 3 )

4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

4 ( 35 - 2 ) = 2 ( 63 + 3 )

4 ( 33 ) = 2 ( 66 )

132 = 132

L.H.S = R.H.S

Hence, Verified.

Therefore, our value for x is correct .

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