Consider the complete question is "The equation of the line 
is y=5x+1 and the equation of line 
is 2y-10x+3=0. How can you show that these two lines are parallel?"
Given:
Equation of is 
.
Equation of is 
.
To show:
The these line as parallel.
Solution:
We have,
...(i)
...(ii)
Equation (ii) can be written as
...(iii)
Slope intercept form of a line is
...(iv)
where, m is slope and b is y-intercept.
On comparing (i) with (iv), we get slope of line .
On comparing (iii) with (iv), we get slope of line .
Since, 
, therefore, lines and and parallel because slope of two parallel lines are always equal.
Hence proved.
Answer:
8
Step-by-step explanation:
4/Squareof 2
=2.846578899078^2=8
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
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
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
