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MaRussiya [10]
3 years ago
10

A certain number is the same as the square root of the product of 8 and the number find the number

Mathematics
1 answer:
Rudik [331]3 years ago
6 0
So, we have x=√8x.  The square root is a number times itself, so x=√x*x.  That means that 8 is x.
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The equation of line L is y=5x+1
Nookie1986 [14]

Consider the complete question is "The equation of the line L_1 is y=5x+1 and the equation of line L_2 is 2y-10x+3=0. How can you show that these two lines are parallel?"

Given:

Equation of L_1 is y=5x+1.

Equation of L_2 is 2y-10x+3=0.

To show:

The these line as parallel.

Solution:

We have,

y=5x+1        ...(i)

2y-10x+3=0      ...(ii)

Equation (ii) can be written as

2y=10x-3

y=\dfrac{10x-3}{2}

y=\dfrac{10x}{2}-\dfrac{3}{2}

y=5x-\dfrac{3}{2}           ...(iii)

Slope intercept form of a line is

y=mx+b          ...(iv)

where, m is slope and b is y-intercept.

On comparing (i) with (iv), we get slope of line L_1.

m_1=5

On comparing (iii) with (iv), we get slope of line L_2.

m_2=5

Since, m_1=m_2, therefore, lines L_1 and L_2 and parallel because slope of two parallel lines are always equal.

Hence proved.

8 0
3 years ago
Find the area of a square with a diagonal of 4 cm.
kodGreya [7K]

Answer:

8

Step-by-step explanation:

4/Squareof 2

=2.846578899078^2=8

6 0
3 years ago
Read 2 more answers
Math help uwu,, please nd thank <3
miskamm [114]

Answer:

Step-by-step explanation:

The equation of a circle is:

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius.

So here, the center is (-2, 4), and the radius is 5.

Here's a graph: desmos.com/calculator/5zqdaam1w2

3 0
2 years ago
Solve with matrices. <br><br> 5x -3y = 18 and 2x + 7y = -1
muminat

We'll use Cramer's rule for 2 equations:

ax + by = e

cx + dy = f

5x -3y = 18 a=5 b=-3 e=18

2x + 7y = -1 c=2 d=7 f=-1

denominator determinant (dn) = (a * d) - (c * b) = 5 * 7 - (2 * -3) = 41

x = [(e * d) - (f * b)] / dn

[18 * 7 - (-1 * -3)] / 41 =

123 / 41 = 3

y = [(a * f) - (c * e)] / dn

= (5 * -1) -(2 * 18) / 41 =

-41 / 41 = -1

Source:

1728.com/cramer.htm

6 0
3 years ago
Solve |x| – 17 = 60<br> What is the correct answer
Kazeer [188]

Answer:

x = 77,  x = -77

Step-by-step explanation:

|x| – 17 = 60

Add 17 to each side

|x| – 17+17 = 60+17

|x|  = 77

The absolute value equation has two solutions, one positive and one negative

x = 77,  x = -77

4 0
3 years ago
Read 2 more answers
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