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Answer:
The equation of the line that is parallel to given line and passes through the point (-8, -3) is:
Step-by-step explanation:
Given equation of line is:
The general form of equation of line in slope-intercept form is written as:
Here m(co-efficient of x) is the slope of the line and b is the y-intercept.
Comparing the given equation with the general form we get
m = 5
Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.
Let m1 be the slope of required line parallel to y=5x-3
Then m1=5
Putting in general form
To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.
The point is (-8,-3)
Putting the value of b and m1, we get
Hence,
The equation of the line that is parallel to given line and passes through the point (-8, -3) is:
Answer:
Diameter of the circle is units
Step-by-step explanation:
It is given that the vertices of the square fall on the circle.
So, the diagonal of the square is the diameter of the circle.
Also, the diagonal and the two sides of the square form a right angled triangle.
By Pythogoras theorem,
=
=
units
Hence, the diameter of the circle is units
